Journal of Mathematical Physics: Most Recent Articles
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Please follow the links to view the content.Classification of linearly compact simple Nambu-Poisson algebras
http://scitation.aip.org/content/aip/journal/jmp/57/5/10.1063/1.4948409?TRACK=RSS
<div><p>We introduce the notion of a universal odd generalized Poisson superalgebra associated with an associative algebra <span class="jp-italic">A</span>, by generalizing a construction made in the work of De Sole and Kac [Jpn. J. Math. <span class="jp-bold">8</span>, 1–145 (2013)]. By making use of this notion we give a complete classification of simple linearly compact (generalized) <span class="jp-italic">n</span>-Nambu-Poisson algebras over an algebraically closed field of characteristic zero.</p></div>Thu, 05 May 2016 12:08:32 GMThttp://scitation.aip.org/content/aip/journal/jmp/57/5/10.1063/1.4948409?TRACK=RSSNicoletta Cantarini and Victor G. Kac2016-05-05T12:08:32ZOptimal space of linear classical observables for Maxwell k-forms via spacelike and timelike compact de Rham cohomologies
http://scitation.aip.org/content/aip/journal/jmp/57/5/10.1063/1.4947563?TRACK=RSS
<div><p>Being motivated by open questions in gauge field theories, we consider non-standard de Rham cohomology groups for timelike compact and spacelike compact support systems. These cohomology groups are shown to be isomorphic respectively to the usual de Rham cohomology of a spacelike Cauchy surface and its counterpart with compact support. Furthermore, an analog of the usual Poincaré duality for de Rham cohomology is shown to hold for the case with non-standard supports as well. We apply these results to find <span class="jp-italic">optimal</span> spaces of linear observables for analogs of arbitrary degree <span class="jp-italic">k</span> of both the vector potential and the Faraday tensor. The term <span class="jp-italic">optimal</span> has to be intended in the following sense: The spaces of linear observables we consider distinguish between different configurations; in addition to that, there are no redundant observables. This last point in particular heavily relies on the analog of Poincaré duality for the new cohomology groups.</p></div>Wed, 04 May 2016 13:34:09 GMThttp://scitation.aip.org/content/aip/journal/jmp/57/5/10.1063/1.4947563?TRACK=RSSMarco Benini2016-05-04T13:34:09ZOn the canonical forms of the multi-dimensional averaged Poisson brackets
http://scitation.aip.org/content/aip/journal/jmp/57/5/10.1063/1.4947529?TRACK=RSS
<div><p>We consider here special Poisson brackets given by the “averaging” of local multi-dimensional Poisson brackets in the Whitham method. For the brackets of this kind it is natural to ask about their canonical forms, which can be obtained after transformations preserving the “physical meaning” of the field variables. We show here that the averaged bracket can always be written in the canonical form after a transformation of “Hydrodynamic Type” in the case of absence of annihilators of initial bracket. However, in general case the situation is more complicated. As we show here, in more general case the averaged bracket can be transformed to a “pseudo-canonical” form under some special (“physical”) requirements on the initial bracket.</p></div>Mon, 02 May 2016 13:36:06 GMThttp://scitation.aip.org/content/aip/journal/jmp/57/5/10.1063/1.4947529?TRACK=RSSA. Ya. Maltsev2016-05-02T13:36:06ZErgodicity of non-uniformly expanding transitive group (or semigroup) actions
http://scitation.aip.org/content/aip/journal/jmp/57/5/10.1063/1.4947530?TRACK=RSS
<div><p>In this paper, we prove that every non-uniformly expanding transitive group (or semigroup) action of <span class="jp-italic">C</span><sup xmlns="http://pub2web.metastore.ingenta.com/ns/">1+<span xmlns="" class="jp-italic">α</span></sup> conformal local diffeomorphisms of a compact manifold is ergodic with respect to the Lebesgue measure.</p></div>Mon, 02 May 2016 13:30:23 GMThttp://scitation.aip.org/content/aip/journal/jmp/57/5/10.1063/1.4947530?TRACK=RSSA. A. Rashid and A. Zamani Bahabadi2016-05-02T13:30:23ZFactorial-type Schur functions, orthogonal rational functions, and discrete dressing chains
http://scitation.aip.org/content/aip/journal/jmp/57/5/10.1063/1.4947528?TRACK=RSS
<div><p>A relationship between orthogonal rational functions and discrete integrable systems is studied by an approach based on Schur-type symmetric functions. A system of orthogonal rational functions is constructed using a multiparameter deformation of the Schur functions. Spectral equations for the orthogonal rational functions are derived by using properties of the Schur-type symmetric functions. The compatibility condition of the spectral equations induces a discrete dressing chain which is a Toda-type discrete integrable system describing dressing transformations for orthogonal rational functions.</p></div>Mon, 02 May 2016 13:22:22 GMThttp://scitation.aip.org/content/aip/journal/jmp/57/5/10.1063/1.4947528?TRACK=RSSRyosuke Miyaura and Atsushi Mukaihira2016-05-02T13:22:22ZA Lie based 4–dimensional higher Chern–Simons theory
http://scitation.aip.org/content/aip/journal/jmp/57/5/10.1063/1.4947531?TRACK=RSS
<div><p>We present and study a model of 4–dimensional higher Chern-Simons theory, special Chern–Simons (SCS) theory, instances of which have appeared in the string literature, whose symmetry is encoded in a skeletal semistrict Lie 2–algebra constructed from a compact Lie group with non discrete center. The field content of SCS theory consists of a Lie valued 2–connection coupled to a background closed 3–form. SCS theory enjoys a large gauge and gauge for gauge symmetry organized in an infinite dimensional strict Lie 2–group. The partition function of SCS theory is simply related to that of a topological gauge theory localizing on flat connections with degree 3 second characteristic class determined by the background 3–form. Finally, SCS theory is related to a 3–dimensional special gauge theory whose 2–connection space has a natural symplectic structure with respect to which the 1–gauge transformation action is Hamiltonian, the 2–curvature map acting as moment map.</p></div>Mon, 02 May 2016 13:05:55 GMThttp://scitation.aip.org/content/aip/journal/jmp/57/5/10.1063/1.4947531?TRACK=RSSRoberto Zucchini2016-05-02T13:05:55ZA Hamiltonian perturbation theory for the nonlinear Vlasov equation
http://scitation.aip.org/content/aip/journal/jmp/57/4/10.1063/1.4947262?TRACK=RSS
<div><p>The <span xmlns="http://pub2web.metastore.ingenta.com/ns/" class="named-content">nonlinear</span> Vlasov <span xmlns="http://pub2web.metastore.ingenta.com/ns/" class="named-content">equation</span> contains the full <span xmlns="http://pub2web.metastore.ingenta.com/ns/" class="named-content">nonlinear dynamics</span> and collective effects of a given <span xmlns="http://pub2web.metastore.ingenta.com/ns/" class="named-content">Hamiltonian system.</span> The linearized approximation is not valid for a variety of interesting systems, nor is it simple to extend to higher order. It is also well-known that the linearized approximation to the Vlasov <span xmlns="http://pub2web.metastore.ingenta.com/ns/" class="named-content">equation</span> is invalid for long times, due to its inability to correctly capture fine phase space structures. We derive a <span xmlns="http://pub2web.metastore.ingenta.com/ns/" class="named-content">perturbation theory</span> for the Vlasov <span xmlns="http://pub2web.metastore.ingenta.com/ns/" class="named-content">equation</span> based on the underlying Hamiltonian structure of the phase space evolution. We obtain an explicit perturbation series for a dressed Hamiltonian applicable to arbitrary systems whose <span xmlns="http://pub2web.metastore.ingenta.com/ns/" class="named-content">dynamics</span> can be described by the <span xmlns="http://pub2web.metastore.ingenta.com/ns/" class="named-content">nonlinear</span> Vlasov <span xmlns="http://pub2web.metastore.ingenta.com/ns/" class="named-content">equation.</span></p></div>Fri, 29 Apr 2016 13:21:17 GMThttp://scitation.aip.org/content/aip/journal/jmp/57/4/10.1063/1.4947262?TRACK=RSSStephen D. Webb2016-04-29T13:21:17ZAccumulation rate of bound states of dipoles in graphene
http://scitation.aip.org/content/aip/journal/jmp/57/4/10.1063/1.4947422?TRACK=RSS
<div><p>We prove that the <span xmlns="http://pub2web.metastore.ingenta.com/ns/" class="named-content">bound state</span> energies of the two-dimensional massive <span xmlns="http://pub2web.metastore.ingenta.com/ns/" class="named-content">Dirac</span> operator with dipole type potentials accumulate with exponential rate at the band edge. In fact we prove a corresponding formula of De Martino <span class="jp-italic">et al.</span> [Phys. Rev. Lett. <span class="jp-bold">112</span>(18), 186603 (2014)].</p></div>Fri, 29 Apr 2016 13:17:01 GMThttp://scitation.aip.org/content/aip/journal/jmp/57/4/10.1063/1.4947422?TRACK=RSSSimone Rademacher and Heinz Siedentop2016-04-29T13:17:01ZTunneling decay of false domain walls: The silence of the lambs
http://scitation.aip.org/content/aip/journal/jmp/57/4/10.1063/1.4947263?TRACK=RSS
<div><p>We study the decay of “false” <span xmlns="http://pub2web.metastore.ingenta.com/ns/" class="named-content">domain walls,</span> that is, metastable states of the quantum <span xmlns="http://pub2web.metastore.ingenta.com/ns/" class="named-content">theory</span> where the true vacuum is trapped inside the wall with the false vacuum outside. We consider a <span xmlns="http://pub2web.metastore.ingenta.com/ns/" class="named-content">theory</span> with two <span xmlns="http://pub2web.metastore.ingenta.com/ns/" class="named-content">scalar fields,</span> a shepherd field and a field of sheep. The shepherd field serves to herd the solitons of the sheep field so that they are nicely bunched together. However, quantum <span xmlns="http://pub2web.metastore.ingenta.com/ns/" class="named-content">tunnelling</span> of the shepherd field releases the sheep to spread out uncontrollably. We show how to calculate the <span xmlns="http://pub2web.metastore.ingenta.com/ns/" class="named-content">tunnelling</span> amplitude for such a disintegration.</p></div>Wed, 27 Apr 2016 13:17:20 GMThttp://scitation.aip.org/content/aip/journal/jmp/57/4/10.1063/1.4947263?TRACK=RSSMareike Haberichter, Richard MacKenzie, M. B. Paranjape and Yvan Ung2016-04-27T13:17:20ZOn regular polygon solutions of Coulomb equation of motion of n + 2 charges n of which are planar
http://scitation.aip.org/content/aip/journal/jmp/57/4/10.1063/1.4947421?TRACK=RSS
<div><p>Regular polygon periodic solutions of the Coulomb equation of motion for a system of <span class="jp-italic">n</span> + 2 charges, in which equal <span class="jp-italic">n</span> − 1 negative charges and one positive charge are restricted to a plane, are found. They are such that the coordinates of the equal planar charges coincide with vertices of a regular polygon centered at the origin where the immobile positive charge is located. The simplest of them are exact solutions which describe a rotation of the planar equal negative charges around the positive charge. The exact solutions are characterized by immobile non-planar two equal charges, which are located at the perpendicular crossing the origin, whose distances to it are equal.</p></div>Tue, 26 Apr 2016 14:51:48 GMThttp://scitation.aip.org/content/aip/journal/jmp/57/4/10.1063/1.4947421?TRACK=RSSW. I. Skrypnik2016-04-26T14:51:48ZTime evolution of two-dimensional quadratic Hamiltonians: A Lie algebraic approach
http://scitation.aip.org/content/aip/journal/jmp/57/4/10.1063/1.4947296?TRACK=RSS
<div><p>We develop a Lie algebraic approach to systematically calculate the evolution operator of a system described by a generalized two-dimensional quadratic Hamiltonian with time-dependent coefficients. Although the development of the Lie algebraic approach presented here is mainly motivated by the two-dimensional quadratic Hamiltonian, it may be applied to investigate the evolution operators of any Hamiltonian having a dynamical algebra with a large number of elements. We illustrate the method by finding the propagator and the Heisenberg picture position and momentum operators for a two-dimensional charge subject to uniform and constant electro-magnetic fields.</p></div>Tue, 26 Apr 2016 14:43:58 GMThttp://scitation.aip.org/content/aip/journal/jmp/57/4/10.1063/1.4947296?TRACK=RSSJ. C. Sandoval-Santana, V. G. Ibarra-Sierra, J. L. Cardoso and A. Kunold2016-04-26T14:43:58ZTwisted Yangians of small rank
http://scitation.aip.org/content/aip/journal/jmp/57/4/10.1063/1.4947112?TRACK=RSS
<div><p>We study quantized enveloping algebras called twisted Yangians associated with the symmetric pairs of types CI, BDI, and DIII (in Cartan’s classification) when the rank is small. We establish isomorphisms between these twisted Yangians and the well known Olshanskii’s twisted Yangians of types AI and AII, and also with the Molev-Ragoucy reflection algebras associated with symmetric pairs of type AIII. We also construct isomorphisms with twisted Yangians in Drinfeld’s original presentation.</p></div>Tue, 26 Apr 2016 14:05:19 GMThttp://scitation.aip.org/content/aip/journal/jmp/57/4/10.1063/1.4947112?TRACK=RSSNicolas Guay, Vidas Regelskis and Curtis Wendlandt2016-04-26T14:05:19ZGeneralized interactions supported on hypersurfaces
http://scitation.aip.org/content/aip/journal/jmp/57/4/10.1063/1.4947181?TRACK=RSS
<div><p>We analyze a family of singular Schrödinger operators with local singular interactions supported by a hypersurface Σ ⊂ ℝ<sup xmlns="http://pub2web.metastore.ingenta.com/ns/"><span xmlns="" class="jp-italic">n</span></sup>, <span class="jp-italic">n</span> ≥ 2, being the boundary of a Lipschitz domain, bounded or unbounded, not necessarily connected. At each point of Σ the interaction is characterized by four real parameters, the earlier studied case of <span class="jp-italic">δ</span>- and <span class="jp-italic">δ</span>′-interactions being particular cases. We discuss spectral properties of these operators and derive operator inequalities between those referring to the same hypersurface but different couplings and describe their implications for spectral properties.</p></div>Tue, 26 Apr 2016 13:56:31 GMThttp://scitation.aip.org/content/aip/journal/jmp/57/4/10.1063/1.4947181?TRACK=RSSPavel Exner and Jonathan Rohleder2016-04-26T13:56:31ZPositive solution for a quasilinear elliptic equation involving critical or supercritical exponent
http://scitation.aip.org/content/aip/journal/jmp/57/4/10.1063/1.4947109?TRACK=RSS
<div><p>This paper concerns the quasilinear elliptic equation <span class="capture-id"><script xmlns="http://pub2web.metastore.ingenta.com/ns/" type="math/mml"><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"><mml:mo>−</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>u</mml:mi><mml:mo>+</mml:mo><mml:mi>u</mml:mi><mml:mo>−</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:msup><mml:mrow><mml:mi>u</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow><mml:mi>u</mml:mi><mml:mo>=</mml:mo><mml:msup><mml:mrow><mml:mfenced close="|" open="|" separators=""><mml:mrow><mml:mi>u</mml:mi></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:mi>p</mml:mi><mml:mo>−</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mi>u</mml:mi><mml:mo>+</mml:mo><mml:mi>μ</mml:mi><mml:msup><mml:mrow><mml:mfenced close="|" open="|" separators=""><mml:mrow><mml:mi>u</mml:mi></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:mi>q</mml:mi><mml:mo>−</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mi>u</mml:mi><mml:mspace width="4pt"></mml:mspace><mml:mtext>in</mml:mtext><mml:mspace width="4pt"></mml:mspace><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:msup></mml:math></script></span>, where <span class="jp-italic">N</span> ≥ 3, 2 < <span class="jp-italic">p</span> < 2 ⋅ 2<sup xmlns="http://pub2web.metastore.ingenta.com/ns/">∗</sup> = 4<span class="jp-italic">N</span>/(<span class="jp-italic">N</span> − 2) ≤ <span class="jp-italic">q</span>, and <span class="jp-italic">μ</span> is a positive parameter. For <span class="jp-italic">μ</span> > 0 sufficiently small, existence of a positive solution will be proved via <span xmlns="http://pub2web.metastore.ingenta.com/ns/" class="named-content">variational methods</span> together with truncation technique and <span class="jp-italic">L</span><sup xmlns="http://pub2web.metastore.ingenta.com/ns/">∞</sup>-estimate. The main novelty is that no growth condition is required for the nonlinearity.</p></div>Tue, 26 Apr 2016 13:51:31 GMThttp://scitation.aip.org/content/aip/journal/jmp/57/4/10.1063/1.4947109?TRACK=RSSHaidong Liu2016-04-26T13:51:31ZTime-ordered exponential on the complex plane and Gell-Mann—Low formula as a mathematical theorem
http://scitation.aip.org/content/aip/journal/jmp/57/4/10.1063/1.4946043?TRACK=RSS
<div><p>The time-ordered exponential representation of a complex time evolution operator in the interaction picture is studied. Using the complex time evolution, we prove the Gell-Mann—Low formula under certain abstract conditions, in mathematically rigorous manner. We apply the abstract results to quantum electrodynamics with cutoffs.</p></div>Mon, 25 Apr 2016 12:18:31 GMThttp://scitation.aip.org/content/aip/journal/jmp/57/4/10.1063/1.4946043?TRACK=RSSShinichiro Futakuchi and Kouta Usui2016-04-25T12:18:31ZA nonlinear model of thermoelectricity with two temperatures: Application to quasicrystalline nanowires
http://scitation.aip.org/content/aip/journal/jmp/57/4/10.1063/1.4947060?TRACK=RSS
<div><p>A general two temperature nonlinear thermodynamic model to describe thermoelectric effects is introduced. Its compatibility with the second law of thermodynamics is investigated. We specialize the model in the framework of thermomass theory and estimate the maximum efficiency of a one-dimensional thermoelectric generator.</p></div>Mon, 25 Apr 2016 12:16:51 GMThttp://scitation.aip.org/content/aip/journal/jmp/57/4/10.1063/1.4947060?TRACK=RSSV. A. Cimmelli, P. Rogolino and A. Sellitto2016-04-25T12:16:51ZHigh-order rogue wave solutions for the coupled nonlinear Schrödinger equations-II
http://scitation.aip.org/content/aip/journal/jmp/57/4/10.1063/1.4947113?TRACK=RSS
<div><p>We study on dynamics of high-order rogue wave in two-component coupled nonlinear Schrödinger equations. Based on the generalized Darboux transformation and formal series method, we obtain the high-order rogue wave solution without the special limitation on the wave vectors. As an application, we exhibit the first, second-order rogue wave solutions and the superposition of them by computer plotting. We find the distribution patterns for vector rogue waves are much more abundant than the ones for scalar rogue waves, and also different from the ones obtained with the constrain conditions on background fields. The results further enrich and deepen our realization on rogue wave excitation dynamics in such diverse fields as Bose-Einstein condensates, nonlinear fibers, and superfluids.</p></div>Mon, 25 Apr 2016 12:16:01 GMThttp://scitation.aip.org/content/aip/journal/jmp/57/4/10.1063/1.4947113?TRACK=RSSLi-Chen Zhao, Boling Guo and Liming Ling2016-04-25T12:16:01ZStability of traveling waves of a diffusive susceptible-infective-removed (SIR) epidemic model
http://scitation.aip.org/content/aip/journal/jmp/57/4/10.1063/1.4947106?TRACK=RSS
<div><p>This paper is concerned with the stability and uniqueness of traveling waves of a delayed diffusive susceptible-infective-removed (SIR) epidemic model. We first prove the exponential stability of traveling waves by using the weighted energy method, where the traveling waves are allowed to be non-monotone. Then we establish the exact asymptotic behavior of traveling waves at −∞ by using Ikehara’s theorem. Finally, the uniqueness of traveling waves is proved by the stability result of traveling waves.</p></div>Mon, 25 Apr 2016 12:15:54 GMThttp://scitation.aip.org/content/aip/journal/jmp/57/4/10.1063/1.4947106?TRACK=RSSYan Li, Wan-Tong Li and Yun-Rui Yang2016-04-25T12:15:54ZGround state solutions for semilinear time-harmonic Maxwell equations
http://scitation.aip.org/content/aip/journal/jmp/57/4/10.1063/1.4947179?TRACK=RSS
<div><p>This paper is concerned with the time-harmonic semilinear Maxwell equation: ∇ × (∇ × <span class="jp-italic">u</span>) + <span class="jp-italic">λu</span> = <span class="jp-italic">f</span>(<span class="jp-italic">x</span>, <span class="jp-italic">u</span>) in Ω with the boundary condition <span class="jp-italic">ν</span> × <span class="jp-italic">u</span> = 0 on ∂Ω, where Ω ⊂ ℝ<sup xmlns="http://pub2web.metastore.ingenta.com/ns/">3</sup> is a simply connected, smooth, bounded domain with connected boundary and <span class="jp-italic">ν</span> : ∂Ω → ℝ<sup xmlns="http://pub2web.metastore.ingenta.com/ns/">3</sup> is the exterior normal. Here ∇ × denotes the curl operator in ℝ<sup xmlns="http://pub2web.metastore.ingenta.com/ns/">3</sup> and the boundary condition holds when Ω is surrounded by a perfect conductor. By using the generalized Nehari manifold method due to Szulkin and Weth [<span class="jp-italic">Handbook of Nonconvex Analysis and Applications</span> (International Press, Somerville, 2010), pp. 597–632] and some new techniques, existence of ground state solutions for above equation is established under some generic conditions on <span class="jp-italic">f</span>.</p></div>Mon, 25 Apr 2016 12:15:40 GMThttp://scitation.aip.org/content/aip/journal/jmp/57/4/10.1063/1.4947179?TRACK=RSSXianhua Tang and Dongdong Qin2016-04-25T12:15:40ZExistence of global solutions for a chemotaxis-fluid system with nonlinear diffusion
http://scitation.aip.org/content/aip/journal/jmp/57/4/10.1063/1.4947107?TRACK=RSS
<div><p>We consider a coupled system consisting of the Navier-Stokes equations and a porous medium type of Keller-Segel system that model the motion of swimming bacteria living in fluid and consuming oxygen. We establish the global-in-time existence of weak solutions for the Cauchy problem of the system in dimension three. In addition, if the Stokes system, instead Navier-Stokes system, is considered for the fluid equation, we prove that bounded weak solutions exist globally in time.</p></div>Thu, 21 Apr 2016 12:13:02 GMThttp://scitation.aip.org/content/aip/journal/jmp/57/4/10.1063/1.4947107?TRACK=RSSYun-Sung Chung and Kyungkeun Kang2016-04-21T12:13:02ZStrongly asymmetric discrete Painlevé equations: The multiplicative case
http://scitation.aip.org/content/aip/journal/jmp/57/4/10.1063/1.4947061?TRACK=RSS
<div><p>We examine a class of multiplicative discrete Painlevé equations which may possess a strongly asymmetric form. When the latter occurs, the equation is written as a system of two equations the right hand sides of which have different functional forms. The present investigation focuses upon two canonical families of the Quispel-Roberts-Thompson classification which contain equations associated with the affine Weyl groups <span class="capture-id"><script xmlns="http://pub2web.metastore.ingenta.com/ns/" type="math/mml"><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"><mml:msubsup><mml:mrow><mml:mi>D</mml:mi></mml:mrow><mml:mrow><mml:mn>5</mml:mn></mml:mrow><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></script></span> and <span class="capture-id"><script xmlns="http://pub2web.metastore.ingenta.com/ns/" type="math/mml"><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"><mml:msubsup><mml:mrow><mml:mi>E</mml:mi></mml:mrow><mml:mrow><mml:mn>6</mml:mn></mml:mrow><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></script></span> (or groups appearing lower in the degeneration cascade of these two). Many new discrete Painlevé equations with strongly asymmetric forms are obtained.</p></div>Thu, 21 Apr 2016 12:12:53 GMThttp://scitation.aip.org/content/aip/journal/jmp/57/4/10.1063/1.4947061?TRACK=RSSB. Grammaticos, A. Ramani, K. M. Tamizhmani, T. Tamizhmani and J. Satsuma2016-04-21T12:12:53ZSymmetry operators of Killing spinors and superalgebras in AdS5
http://scitation.aip.org/content/aip/journal/jmp/57/4/10.1063/1.4947178?TRACK=RSS
<div><p>We construct the first-order symmetry operators of Killing spinor equation in terms of odd Killing-Yano forms. By modifying the Schouten-Nijenhuis bracket of Killing-Yano forms, we show that the symmetry operators of Killing spinors close into an algebra in <span class="jp-italic">AdS</span><span class="jp-sub">5</span> spacetime. Since the symmetry operator algebra of Killing spinors corresponds to a Jacobi identity in extended Killing superalgebras, we investigate the possible extensions of Killing superalgebras to include higher-degree Killing-Yano forms. We found that there is a superalgebra extension but no Lie superalgebra extension of the Killing superalgebra constructed out of Killing spinors and odd Killing-Yano forms in <span class="jp-italic">AdS</span><span class="jp-sub">5</span> background.</p></div>Thu, 21 Apr 2016 12:12:45 GMThttp://scitation.aip.org/content/aip/journal/jmp/57/4/10.1063/1.4947178?TRACK=RSSÜmit Ertem2016-04-21T12:12:45ZTwo-component integrable generalizations of Burgers equations with nondiagonal linearity
http://scitation.aip.org/content/aip/journal/jmp/57/4/10.1063/1.4947110?TRACK=RSS
<div><p>Two-component second- and third-order Burgers type systems with nondiagonal constant matrix of leading order terms are classified for higher symmetries. New integrable systems are obtained. Master symmetries of the obtained symmetry integrable systems, and bi-Poisson structures of those that also possess conservation laws, are given.</p></div>Wed, 20 Apr 2016 12:12:56 GMThttp://scitation.aip.org/content/aip/journal/jmp/57/4/10.1063/1.4947110?TRACK=RSSDaryoush Talati and Refi̇k Turhan2016-04-20T12:12:56ZThe double exponential sinc collocation method for singular Sturm-Liouville problems
http://scitation.aip.org/content/aip/journal/jmp/57/4/10.1063/1.4947059?TRACK=RSS
<div><p>Sturm-Liouville problems are abundant in the numerical treatment of scientific and engineering problems. In the present contribution, we present an efficient and highly accurate method for <span xmlns="http://pub2web.metastore.ingenta.com/ns/" class="named-content">computing</span><span xmlns="http://pub2web.metastore.ingenta.com/ns/" class="named-content">eigenvalues</span> of singular Sturm-Liouville <span xmlns="http://pub2web.metastore.ingenta.com/ns/" class="named-content">boundary value problems.</span> The proposed method uses the double exponential formula coupled with sinc <span xmlns="http://pub2web.metastore.ingenta.com/ns/" class="named-content">collocation method.</span> This method produces a symmetric positive-definite generalized <span xmlns="http://pub2web.metastore.ingenta.com/ns/" class="named-content">eigenvalue</span> system and has exponential convergence rate. Numerical examples are presented and comparisons with single exponential sinc <span xmlns="http://pub2web.metastore.ingenta.com/ns/" class="named-content">collocation method</span> clearly illustrate the advantage of using the double exponential formula.</p></div>Tue, 19 Apr 2016 12:14:43 GMThttp://scitation.aip.org/content/aip/journal/jmp/57/4/10.1063/1.4947059?TRACK=RSSP. Gaudreau, R. Slevinsky and H. Safouhi2016-04-19T12:14:43ZAppearances of pseudo-bosons from Black-Scholes equation
http://scitation.aip.org/content/aip/journal/jmp/57/4/10.1063/1.4944583?TRACK=RSS
<div><p>It is a well known fact that the Black-Scholes <span xmlns="http://pub2web.metastore.ingenta.com/ns/" class="named-content">equation</span> admits an alternative representation as a Schrödinger <span xmlns="http://pub2web.metastore.ingenta.com/ns/" class="named-content">equation</span> expressed in terms of a non-self-adjoint Hamiltonian. We show how <span class="jp-italic">pseudo-bosons</span>, linear or not, naturally arise in this context, and how they can be used in the computation of the pricing kernel.</p></div>Mon, 18 Apr 2016 12:11:06 GMThttp://scitation.aip.org/content/aip/journal/jmp/57/4/10.1063/1.4944583?TRACK=RSSF. Bagarello2016-04-18T12:11:06Z