Journal of Mathematical Physics: All Topics

Whittaker modules for the twisted HeisenbergVirasoro algebra

Dong Liu, Yuezhu Wu, and Linsheng Zhu
We define Whittaker modules for the twisted HeisenbergVirasoro algebra and obtain several results from the classical setting, including a classification of simple Whittaker modules by central characters. ... [J. Math. Phys. 51, 023524 (2010)] published Tue Feb 9, 2010.

Exact Fermi coordinates for a class of space-times

David Klein and Peter Collas
We find exact Fermi coordinates for timelike geodesic observers for a class of space-times that includes anti-de Sitter space-time, de Sitter space-time, the constant density interior Schwarzschild space-time with positive, zero, and negative cosmological constant, and the Einstein static universe. ... [J. Math. Phys. 51, 022501 (2010)] published Tue Feb 9, 2010.

Position dependent mass Schrodinger equation and isospectral potentials: Intertwining operator approach

Bikashkali Midya, B. Roy, and R. Roychoudhury
Here, we have studied first- and second-order intertwining approaches to generate isospectral partner potentials of position dependent (effective) mass Schrodinger equation. The second-order intertwiner is constructed directly by taking it as second-order linear differential operator with position d ... [J. Math. Phys. 51, 022109 (2010)] published Tue Feb 9, 2010.

Frame independence of the fundamental length in relativistic quantum field theory

S. Nagamachi and E. Bruning
Some time ago we proposed a relativistic quantum field theory with a fundamental length in terms of tempered ultrahyperfunctions [Bruning, E. and Nagamachi, S., Relativistic quantum field theory with a fundamental length, J. Math. Phys. 45, 2199 (2004); e-print arXiv:math-ph/0804.1663; Solutions of ... [J. Math. Phys. 51, 022305 (2010)] published Mon Feb 8, 2010.

Central limit theorem for fluctuations of linear eigenvalue statistics of large random graphs

Mariya Shcherbina and Brunello Tirozzi
We consider the adjacency matrix A of a large random graph and study fluctuations of the function f(z,u)=(1/n)[summation]exp{uG(z)} with G(z)=(ziA). We prove that the moments of fluctuations normalized by n in the limit n-->[infinity] satisfy the Wick relations for the Gaussian random variables. Thi ... [J. Math. Phys. 51, 023523 (2010)] published Mon Feb 8, 2010.

Minimum-error state discrimination constrained by the no-signaling principle

Won-Young Hwang and Joonwoo Bae
We provide a bound on the minimum error when discriminating among quantum states, using the no-signaling principle. The bound is general in that it depends on neither dimensions nor specific structures of given quantum states to be discriminated among. We show that the bound is tight for the minimum ... [J. Math. Phys. 51, 022202 (2010)] published Mon Feb 8, 2010.

The algebra of Grassmann canonical anticommutation relations and its applications to fermionic systems

Michael Keyl and Dirk-M. Schlingemann
We present an approach to a noncommutativelike phase space which allows to analyze quasifree states on the algebra of canonical anti-commutation relations (CAR) in analogy to quasifree states on the algebra of canonical commutation relations (CCR). The used mathematical tools are based on a new alge ... [J. Math. Phys. 51, 023522 (2010)] published Mon Feb 8, 2010.

Mayer problem for quantum stochastic control

M. O. Ogundiran and E. O. Ayoola
This paper is concerned with the value function for optimal quantum stochastic control. We established the Lipschitz continuity of the value function, which is inherent from the Lipschitz property of the set-valued map describing the quantum stochastic control. By using a feedback multivalued map, w ... [J. Math. Phys. 51, 023521 (2010)] published Thu Feb 4, 2010.

Gauge invariance and classical dynamics of noncommutative particle theory

D. M. Gitman and V. G. Kupriyanov
We consider a model of classical noncommutative particle in an external electromagnetic field. For this model, we prove the existence of generalized gauge transformations. Classical dynamics in Hamiltonian and Lagrangian form is discussed; in particular, the motion in the constant magnetic field is ... [J. Math. Phys. 51, 022905 (2010)] published Thu Feb 4, 2010.

A Kahler structure on Finsler spaces with nonzero constant flag curvature

E. Peyghan and A. Tayebi
In this paper, we obtain a Kahler structure on the tangent bundle of a Finsler manifold of positive constant flag curvature. We show that there does not exist any Finsler metric such that this structure became locally symmetric or Einstein manifold. Similar results are obtained on a tube around zero ... [J. Math. Phys. 51, 022904 (2010)] published Thu Feb 4, 2010.

On a novel integrable generalization of the sine-Gordon equation

J. Lenells and A. S. Fokas
We consider an integrable generalization of the sine-Gordon (sG) equation that was earlier derived by one of the authors using bi-Hamiltonian methods. This equation is related to the sG equation in the same way that the CamassaHolm equation is related to the Kortewegde Vries equation. In this paper ... [J. Math. Phys. 51, 023519 (2010)] published Wed Feb 3, 2010.

Flat bases of invariant polynomials and P-hat-matrices of E and E

Vittorino Talamini
Let G be a compact group of linear transformations of a Euclidean space V. The G-invariant C functions can be expressed as C functions of a finite basic set of G-invariant homogeneous polynomials, sometimes called an integrity basis. The mathematical description of the orbit space V/G depends on the ... [J. Math. Phys. 51, 023520 (2010)] published Wed Feb 3, 2010.

Exact moduli space metrics for hyperbolic vortex polygons

S. Krusch and J. M. Speight
Exact metrics on some totally geodesic submanifolds of the moduli space of static hyperbolic N-vortices are derived. These submanifolds, denoted as Sigma, are spaces of C-invariant vortex configurations with n single vortices at the vertices of a regular polygon and m=Nn coincident vortices at the p ... [J. Math. Phys. 51, 022304 (2010)] published Wed Feb 3, 2010.

Inhomogeneous boundary value problem for Hartree-type equation

Li Ma and Pei Cao
In this paper, we settle the problem for time-dependent Hartree equation with inhomogeneous boundary condition in a bounded smooth domain in [openface R]. A global existence and uniqueness result for H solution is derived. ... [J. Math. Phys. 51, 023516 (2010)] published Wed Feb 3, 2010.

Global weak solution for a equations in plasma

Boling Guo and Daiwen Huang
The existence of global weak solutions of the initial boundary value problem to a simplified equations, derived from the equations of two fluid system in plasma, is proven by using energy method and some embedding theorems in SobolevOrlicz space. ... [J. Math. Phys. 51, 023517 (2010)] published Wed Feb 3, 2010.

Exactly solvable nonseparable and nondiagonalizable two-dimensional model with quadratic complex interaction

F. Cannata, M. V. Ioffe, and D. N. Nishnianidze
We study a quantum model with nonisotropic two-dimensional oscillator potential but with additional quadratic interaction xx with imaginary coupling constant. It is shown that for a specific connection between coupling constant and oscillator frequencies, the model is not amenable to a conventional ... [J. Math. Phys. 51, 022108 (2010)] published Wed Feb 3, 2010.

Two-dimensional symmetric and antisymmetric generalizations of exponential and cosine functions

Jiri Hrivnak and Jiri Patera
The properties of the four families of the recently introduced special functions of two real variables, denoted here by E and cos, are studied. The superscripts + and refer to the symmetric and antisymmetric functions, respectively. The functions are considered in all details required for their exp ... [J. Math. Phys. 51, 023515 (2010)] published Wed Feb 3, 2010.

Properties of index transforms in modeling of nanostructures and plasmonic systems

A. Passian, S. Koucheckian, S. B. Yakubovich, and T. Thundat
In material structures with nanometer scale curvature or dimensions, electrons may be excited to oscillate in confined spaces. The consequence of such geometric confinement is of great importance in nano-optics and plasmonics. Furthermore, the geometric complexity of the probe-substrate/sample assem ... [J. Math. Phys. 51, 023518 (2010)] published Wed Feb 3, 2010.

Soft-core Coulomb potentials and Heun's differential equation

Richard L. Hall, Nasser Saad, and K. D. Sen
Schrodinger's equation with the attractive potential V(r)=Z/(r+beta), Z>0, beta>0, q>=1, is shown, for general values of the parameters Z and beta, to be reducible to the confluent Heun equation in the case q=1 and to the generalized Heun equation in the case q=2. In a formulation with correct asymp ... [J. Math. Phys. 51, 022107 (2010)] published Wed Feb 3, 2010.

An application of decomposable maps in proving multiplicativity of low dimensional maps

Motohisa Fukuda
In this paper, we present a class of maps for which the multiplicativity of the maximal output p-norm holds for p=2 and p>=4. The class includes all positive trace-preserving maps from [script B]([openface C]) to [script B]([openface C]). In this sense, the result is a generalization of the correspo ... [J. Math. Phys. 51, 022201 (2010)] published Tue Feb 2, 2010.

Correlation inequalities for quantum spin systems with quenched centered disorder

Pierluigi Contucci and Joel L. Lebowitz
It is shown that random quantum spin systems with centered disorder satisfy correlation inequalities previously proved [P. Contucci and J. Lebowitz, Ann. Henri Poincare 8, 1461 (2007)] in the classical case. Consequences include monotone approach of pressure and ground state energy to the thermodyna ... [J. Math. Phys. 51, 023302 (2010)] published Tue Feb 2, 2010.

Reformulating the Schrodinger equation as a ShabatZakharov system

Petarpa Boonserm and Matt Visser
We reformulate the second-order Schrodinger equation as a set of two coupled first-order differential equations, a so-called ShabatZakharov system (sometimes called a ZakharovShabat system). There is considerable flexibility in this approach, and we emphasize the utility of introducing an auxiliary ... [J. Math. Phys. 51, 022105 (2010)] published Tue Feb 2, 2010.

Integrable properties of the general coupled nonlinear Schrodinger equations

Deng-Shan Wang, Da-Jun Zhang, and Jianke Yang
In this paper, a general integrable coupled nonlinear Schrodinger system is investigated. In this system, the coefficients of the self-phase modulation, cross-phase modulation, and four-wave mixing terms are more general while still maintaining integrability. The N-soliton solutions in this system a ... [J. Math. Phys. 51, 023510 (2010)] published Tue Feb 2, 2010.

Cosmological particle creation in states of low energy

Andreas Degner and Rainer Verch
The recently proposed states of low energy provide a well-motivated class of reference states for the quantized linear scalar field on cosmological FriedmannRobertsonWalker space-times. The low energy property of a state is localized close to some value of the cosmological time coordinate. We presen ... [J. Math. Phys. 51, 022302 (2010)] published Tue Feb 2, 2010.

Self-adjoint Lyapunov variables, temporal ordering, and irreversible representations of Schrodinger evolution

Y. Strauss
In nonrelativistic quantum mechanics time enters as a parameter in the Schrodinger equation. However, there are various situations where the need arises to view time as a dynamical variable. In this paper we consider the dynamical role of time through the construction of a Lyapunov variablei.e., a s ... [J. Math. Phys. 51, 022104 (2010)] published Tue Feb 2, 2010.

Discrete Fourier transform and Jacobi theta function identities

R. A. Malekar and H. Bhate
Classical theta function identities are derived using properties of eigenvectors corresponding to the discrete Fourier transform Phi(2). In particular, an extended Watson addition formula is obtained corresponding to Phi(2), and the corresponding result for the discrete Fourier transform Phi(3) is o ... [J. Math. Phys. 51, 023511 (2010)] published Tue Feb 2, 2010.

A full description of the integrability condition for the twistor equation in curved space-times and new wave equations for conformally invariant spinor fields

J. G. Cardoso
The consistency condition associated with the feasibility of setting out the twistor equation in curved space-times is considered within the frameworks of the Infeldvan der Waerden gammaepsilon-formalisms. It appears that the epsilon-formalism version of the condition bears a simpler form because of ... [J. Math. Phys. 51, 023513 (2010)] published Tue Feb 2, 2010.

Boundary stabilization of transmission problems

Fernando Cardoso and Georgi Vodev
We study the transmission problem in bounded domains with dissipative boundary conditions. Under some natural assumptions, we prove uniform bounds of the corresponding resolvents on the real axis at high frequency and, as a consequence, we obtain regions free of eigenvalue. To this end, we extend th ... [J. Math. Phys. 51, 023512 (2010)] published Tue Feb 2, 2010.

Any [script-l]-state solutions of the Hulthen potential in arbitrary dimensions

Xiao-Yan Gu and Jian-Qiang Sun
The energy spectra of the Hulthen effective potential in D dimensions are obtained within the new quantization rule approach for any [script-l] states. The interdimensional degeneracies among states are also presented. In the case of D=3, the agreement between our results and those obtained by other ... [J. Math. Phys. 51, 022106 (2010)] published Tue Feb 2, 2010.

Index formulas and charge deficiencies on the Landau levels

Magnus Goffeng
The notion of charge deficiency by Avron et al. [Charge deficiency, charge transport and comparison of dimensions, Commun. Math. Phys. 159, 399 (1994)] is studied from the view of K-theory of operator algebras and is applied to the Landau levels in [openface R]. We calculate the charge deficiencies ... [J. Math. Phys. 51, 023509 (2010)] published Tue Feb 2, 2010.

Asymptotic independence of the extreme eigenvalues of Gaussian unitary ensemble

Folkmar Bornemann
We give a short, operator-theoretic proof of the asymptotic independence (including a first correction term) of the minimal and maximal eigenvalue of the n x n Gaussian unitary ensemble in the large matrix limit n-->[infinity]. This is done by representing the joint probability distribution of the e ... [J. Math. Phys. 51, 023514 (2010)] published Tue Feb 2, 2010.

Multiplication of distributions and Dirac formalism of quantum mechanics

Namhoon Kim
We define multiplication and convolution of distributions and ultradistributions by introducing the notions of evaluation of distributions and integration of ultradistributions. An application is made to an interpretation of the Dirac formalism of quantum mechanics. The role of the Hilbert space of ... [J. Math. Phys. 51, 023508 (2010)] published Tue Feb 2, 2010.

On the structure of Verma modules over the W-algebra W(2,2)

Wei Jiang and Yufeng Pei
In this paper, we describe the structure of Verma modules over the W-algebra W(2,2). We show that either a Verma module over W(2,2) is irreducible or its maximal submodule is cyclic. ... [J. Math. Phys. 51, 022303 (2010)] published Tue Feb 2, 2010.

Quantum Zeno effect and dynamics

Paolo Facchi and Marilena Ligabo
If frequent measurements ascertain whether a quantum system is still in a given subspace, it remains in that subspace and a quantum Zeno effect takes place. The limiting time evolution within the projected subspace is called quantum Zeno dynamics. This phenomenon is related to the limit of a product ... [J. Math. Phys. 51, 022103 (2010)] published Tue Feb 2, 2010.

Linear response characteristics in time-dependent subdiffusive fractional FokkerPlanck equations

Yan-Mei Kang and Yao-Lin Jiang
For the time-dependent fractional FokkerPlanck equations (FFPE), obtained from the time-independent FFPE by directly replacing the time-independent external force with a time-modulated one, we investigate its response characteristics within linear response range based on a viewpoint of global pertur ... [J. Math. Phys. 51, 023301 (2010)] published Mon Feb 1, 2010.

On superconformal characters and partition functions in three dimensions

F. A. Dolan
Possible short and semishort positive energy, unitary representations of the Osp(2N|4) superconformal group in three dimensions are discussed. Corresponding character formulas are obtained, consistent with character formulas for the SO(3,2) conformal group, revealing long multiplet decomposition at ... [J. Math. Phys. 51, 022301 (2010)] published Mon Feb 1, 2010.

Two-fold integrable hierarchy of nonholonomic deformation of the derivative nonlinear Schrodinger and the LenellsFokas equation

Anjan Kundu
The concept of the nonholonomic deformation formulated recently for the Ablowitz-Kaup-Newell-Segur family is extended to the KaupNewell class. Applying this construction we discover a novel integrable mixed twofold hierarchy related to the deformed derivative nonlinear Schrodinger (DNLS) equation an ... [J. Math. Phys. 51, 022901 (2010)] published Mon Feb 1, 2010.

A universal magnification theorem. III. Caustics beyond codimension 5

A. B. Aazami and A. O. Petters
In the final paper of this series, we extend our results on magnification invariants to the infinite family of A(n>=2),D(n>=4),E,E,E caustic singularities. We prove that for families of general mappings between planes exhibiting any caustic singularity of the A(n>=2),D(n>=4),E,E,E family, and for a ... [J. Math. Phys. 51, 023503 (2010)] published Mon Feb 1, 2010.

Routhian reduction for quasi-invariant Lagrangians

B. Langerock, F. Cantrijn, and J. Vankerschaver
In this paper, we describe Routhian reduction as a special case of standard symplectic reduction, also called MarsdenWeinstein reduction. We use this correspondence to present a generalization of Routhian reduction for quasi-invariant Lagrangians, i.e., Lagrangians that are invariant up to a total t ... [J. Math. Phys. 51, 022902 (2010)] published Mon Feb 1, 2010.

Nonadditivity of Renyi entropy and Dvoretzky's theorem

Guillaume Aubrun, Stanislaw Szarek, and Elisabeth Werner
The goal of this note is to show that the analysis of the minimum output p-Renyi entropy of a typical quantum channel essentially amounts to applying Milman's version of Dvoretzky's theorem about almost Euclidean sections of high-dimensional convex bodies. This conceptually simplifies the (nonconstr ... [J. Math. Phys. 51, 022102 (2010)] published Mon Feb 1, 2010.

Phase transition solutions in geometrically constrained magnetic domain wall models

Shouxin Chen and Yisong Yang
Recent work on magnetic phase transition in nanoscale systems indicates that new physical phenomena, in particular, the Bloch wall width narrowing, arise as a consequence of geometrical confinement of magnetization and leads to the introduction of geometrically constrained domain wall models. In thi ... [J. Math. Phys. 51, 023504 (2010)] published Mon Feb 1, 2010.

HamiltonJacobi and quantum theory formulations of thermal-wave propagation under the dual-phase lagging model of heat conduction

J. Ordonez-Miranda, Miguel A. Zambrano-Arjona, and J. J. Alvarado-Gil
Dual-phase lagging model is one of the most promising approaches to generalize the Fourier heat conduction equation, and it can be reduced in the appropriate limits to the hyperbolic CattaneoVernotte and to the parabolic equations. In this paper it is shown that the HamiltonJacobi and quantum theory ... [J. Math. Phys. 51, 023506 (2010)] published Mon Feb 1, 2010.

Stability of peakons and linear dispersion limit for the periodic DullinGottwaldHolm equation

Jiuli Yin and Lixin Tian
The DullinGottwaldHolm equation can be described as the unidirectional propagation of surface waves in a shallow water regime. In this paper, we study the orbital stability problem of the peaked solitons (peakons) for the periodic DullinGottwaldHolm equation on the line. By constructing a function o ... [J. Math. Phys. 51, 023505 (2010)] published Mon Feb 1, 2010.

Upper semicontinuity of pullback attractors for nonclassical diffusion equations

Yonghai Wang and Yuming Qin
Our aim in this paper is to study the long time behavior, in terms of upper semicontinuous property of pullback attractors, of nonclassical diffusion equations with nonautonomous perturbation. Specifically, we prove that, under some proper assumptions, the pullback attractor {A(t)} of Eq. (1) and th ... [J. Math. Phys. 51, 022701 (2010)] published Mon Feb 1, 2010.

q-graded Heisenberg algebras and deformed supersymmetries

Joseph Ben Geloun and Mahouton Norbert Hounkonnou
The notion of q-grading on the enveloping algebra generated by products of q-deformed Heisenberg algebras is introduced for q complex number in the unit disk. Within this formulation, we consider the extension of the notion of supersymmetry in the enveloping algebra. We recover the ordinary [openfac ... [J. Math. Phys. 51, 023502 (2010)] published Mon Feb 1, 2010.

Arithmetic, mutually unbiased bases and complementary observables

M. D. Sheppeard
Complementary observables in quantum mechanics may be viewed as Frobenius structures in a dagger monoidal category, such as the category of finite dimensional Hilbert spaces over the complex numbers. On the other hand, their properties crucially depend on the discrete Fourier transform and its assoc ... [J. Math. Phys. 51, 023507 (2010)] published Mon Feb 1, 2010.

Symmetric Novikov superalgebras

Imen Ayadi and Said Benayadi
We study Novikov superalgebras with nondegenerate associative supersymmetric bilinear forms which are called symmetric Novikov superalgebras. We show that Novikov symmetric superalgebras are associative superalgebras with additional condition. Several examples of symmetric Novikov superalgebras are ... [J. Math. Phys. 51, 023501 (2010)] published Mon Feb 1, 2010.

Single scattering estimates for the scintillation function of waves in random media

Guillaume Bal, Ian Langmore, and Olivier Pinaud
The energy density of high frequency waves propagating in highly oscillatory random media is well approximated by solutions of deterministic kinetic models. The scintillation function determines the statistical instability of the kinetic solution. This paper analyzes the single scattering term in th ... [J. Math. Phys. 51, 022903 (2010)] published Mon Feb 1, 2010.

Ground state entanglement in one-dimensional translationally invariant quantum systems

Sandy Irani
We examine whether it is possible for one-dimensional translationally invariant Hamiltonians to have ground states with a high degree of entanglement. We present a family of translationally invariant Hamiltonians {H} for the infinite chain. The spectral gap of H is Omega(1/poly(n)). Moreover, for an ... [J. Math. Phys. 51, 022101 (2010)] published Mon Feb 1, 2010.

Statics and dynamics of magnetic vortices and of NielsenOlesen (Nambu) strings

S. Gustafson, I. M. Sigal, and T. Tzaneteas
We review recent works on statics and dynamics of magnetic vortices in the GinzburgLandau model of superconductivity and of NielsenOlesen (Nambu) strings in the AbelianHiggs model of particle physics. ... [J. Math. Phys. 51, 015217 (2010)] published Fri Jan 29, 2010.

Quasiperiodic motions in dynamical systems: Review of a renormalization group approach

Guido Gentile
Power series expansions naturally arise whenever solutions of ordinary differential equations are studied in the regime of perturbation theory. In the case of quasiperiodic solutions the issue of convergence of the series is bedeviled by the so-called small divisor problem. In this paper we review a ... [J. Math. Phys. 51, 015207 (2010)] published Fri Jan 29, 2010.

From operator algebras to superconformal field theory

Yasuyuki Kawahigashi
We survey operator algebraic approach to (super)conformal field theory. We discuss representation theory, classification results, full and boundary conformal field theories, relations to supervertex operator algebras and Moonshine, connections to subfactor theory of Jones, and certain aspects of non ... [J. Math. Phys. 51, 015209 (2010)] published Fri Jan 29, 2010.

Nonequilibrium, thermostats, and thermodynamic limit

G. Gallavotti and E. Presutti
The relation between thermostats of isoenergetic and frictionless kind is studied and their equivalence in the thermodynamic limit is proven in space dimension d=1,2 and for special geometries, d=3. ... [J. Math. Phys. 51, 015202 (2010)] published Fri Jan 29, 2010.

Landau damping

C. Mouhot and C. Villani
In this note we present the main results from the recent work of Mouhot and Villani (On the Landau damping, arXiv:0904.2760), which for the first time establish Landau damping in a nonlinear context. ... [J. Math. Phys. 51, 015204 (2010)] published Fri Jan 29, 2010.

Twenty five years of two-dimensional rational conformal field theory

Jurgen Fuchs, Ingo Runkel, and Christoph Schweigert
A review for the 50th anniversary of the Journal of Mathematical Physics. ... [J. Math. Phys. 51, 015210 (2010)] published Fri Jan 29, 2010.

Singularities of complex-valued solutions of the two-dimensional Burgers system

Dong Li and Yakov G. Sinai
We consider the two-dimensional viscous Burgers system without external forcing. For complex-valued solutions, due to the loss of maximum principle and energy estimates, smooth solutions can develop finite-time singularities. We construct an open set of six-parameter families of initial conditions s ... [J. Math. Phys. 51, 015205 (2010)] published Fri Jan 29, 2010.

Space and time from translation symmetry

A. Schwarz
We show that the notions of space and time in algebraic quantum field theory arise from translation symmetry if we assume asymptotic commutativity. We argue that this construction can be applied to string theory. ... [J. Math. Phys. 51, 015201 (2010)] published Fri Jan 29, 2010.

Spectral gap, and split property in quantum spin chains

Taku Matsui
In this article, we consider a class of ground states with spectral gap for quantum spin chains on an integer lattice and we prove that the factorization lemma of Hastings [Topology and phases in fermionic systems, J. Stat. Mech.: Theory Exp. 2008, L01001] implies split property (weak statistical in ... [J. Math. Phys. 51, 015216 (2010)] published Fri Jan 29, 2010.

Exact results for ionization of model atomic systems

O. Costin, J. L. Lebowitz, C. Stucchio, and S. Tanveer
We review recent rigorous results concerning the ionization of model quantum systems by time-periodic external fields. The systems we consider consist of a single particle (electron) with a reference Hamiltonian H=Delta+V(x) (x[is-an-element-of][openface R]) having both bound and continuum states. S ... [J. Math. Phys. 51, 015211 (2010)] published Fri Jan 29, 2010.

Rigorous meaning of McLennan ensembles

Christian Maes and Karel NetoCny
We analyze the exact meaning of expressions for nonequilibrium stationary distributions in terms of entropy changes. They were originally introduced by McLennan [Statistical mechanics of the steady state, Phys. Rev. 115, 1405 (1959)] for mechanical systems close to equilibrium and more recent work b ... [J. Math. Phys. 51, 015219 (2010)] published Fri Jan 29, 2010.

BatalinVilkovisky integrals in finite dimensions

C. Albert, B. Bleile, and J. Frohlich
The BatalinVilkovisky (BV) method is the most powerful method to analyze functional integrals with (infinite-dimensional) gauge symmetries presently known. It has been invented to fix gauges associated with symmetries that do not close off-shell. Homological perturbation theory is introduced and use ... [J. Math. Phys. 51, 015213 (2010)] published Fri Jan 29, 2010.

Developments in the theory of universality

Vieri Mastropietro
Recently, a rigorous foundation of several aspects of the theory of universality for statistical mechanics models with continuously varying exponents (among which are interacting planar Ising models, quantum spin chains, and one-dimensional Fermi systems) has been reached; it has its root in the map ... [J. Math. Phys. 51, 015212 (2010)] published Fri Jan 29, 2010.

Time asymptotics and entanglement generation of Clifford quantum cellular automata

Johannes Gutschow, Sonja Uphoff, Reinhard F. Werner, and Zoltan Zimboras
We consider Clifford quantum cellular automata (CQCAs) and their time-evolution. CQCAs are an especially simple type of quantum cellular automata, yet they show complex asymptotics and can even be a basic ingredient for universal quantum computation. In this work we study the time evolution of diffe ... [J. Math. Phys. 51, 015203 (2010)] published Fri Jan 29, 2010.

The principle of locality: Effectiveness, fate, and challenges

Sergio Doplicher
The special theory of relativity and quantum mechanics merge in the key principle of quantum field theory, the principle of locality. We review some examples of its unreasonable effectiveness in giving rise to most of the conceptual and structural frame of quantum field theory, especially in the abs ... [J. Math. Phys. 51, 015218 (2010)] published Fri Jan 29, 2010.

Almost commuting matrices, localized Wannier functions, and the quantum Hall effect

Matthew B. Hastings and Terry A. Loring
For models of noninteracting fermions moving within sites arranged on a surface in three-dimensional space, there can be obstructions to finding localized Wannier functions. We show that such obstructions are K-theoretic obstructions to approximating almost commuting, complex-valued matrices by comm ... [J. Math. Phys. 51, 015214 (2010)] published Fri Jan 29, 2010.

A quantum central limit theorem for sums of independent identically distributed random variables

V. Jaksic, Y. Pautrat, and C.-A. Pillet
We formulate and prove a general central limit theorem for sums of independent identically distributed noncommutative random variables. ... [J. Math. Phys. 51, 015208 (2010)] published Fri Jan 29, 2010.

Hard-sphere fluids with chemical self-potentials

M. K.-H. Kiessling and J. K. Percus
The existence, uniqueness, and stability of solutions are studied for a set of nonlinear fixed point equations which define self-consistent hydrostatic equilibria of a classical continuum fluid that is confined inside a container [overline Lambda ][subset or is implied by][openface R] and in contac ... [J. Math. Phys. 51, 015206 (2010)] published Fri Jan 29, 2010.

Algebraic complementarity in quantum theory

Denes Petz
This paper is an overview of the concept of complementarity, the relation to state estimation, to ConnesStormer conditional (or relative) entropy, and to uncertainty relation. Complementary Abelian and noncommutative subalgebras are analyzed. All the known results about complementary decompositions ... [J. Math. Phys. 51, 015215 (2010)] published Fri Jan 29, 2010.

Introduction to Special Issue: Journal of Mathematical Physics turns 50

Bruno L. Z. Nachtergaele
Abstract not available. [J. Math. Phys. 51, 015101 (2010)] published Fri Jan 29, 2010.