Kolmogorov entropy of global attractor for dissipative lattice dynamical systems
We consider Kolmogorov's -entropy of the global attractor for first and second order dissipative lattice dynamical systems. By using the element decomposition and the covering property of a polyhedron...
We consider Kolmogorov's -entropy of the global attractor for first and second order dissipative lattice dynamical systems. By using the element decomposition and the covering property of a polyhedron...
Semiclassical nonlinear Schrödinger on the half line
We are studying the semiclassical limit of the 1 + 1 dimensional integrable nonlinear Schrödinger equation with defocusing cubic nonlinearity on the half line. Our analysis relies on the recent t...
We are studying the semiclassical limit of the 1 + 1 dimensional integrable nonlinear Schrödinger equation with defocusing cubic nonlinearity on the half line. Our analysis relies on the recent t...
Superintegrable systems in Darboux spaces
J. Math. Phys. 44, 5811 (2003); doi:10.1063/1.1619580
Issue Date: December 2003
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Almost all research on superintegrable potentials concerns spaces of constant curvature. In this paper we find by exhaustive calculation, all superintegrable potentials in the four Darboux spaces of revolution that have at least two integrals of motion quadratic in the momenta, in addition to the Hamiltonian. These are two-dimensional spaces of nonconstant curvature. It turns out that all of these potentials are equivalent to superintegrable potentials in complex Euclidean 2-space or on the complex 2-sphere, via "coupling constant metamorphosis" (or equivalently, via Stäckel multiplier transformations). We present a table of the results. ©2003 American Institute of Physics.
| History: | Received 25 June 2003; accepted 19 August 2003 |
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http://link.aip.org/link/?JMAPAQ/44/5811/1 |
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