Classical integrable two-dimensional models inspired by SUSY quantum mechanics

DOI10.1088/0305-4470/32/25/307zbMath0953.81021arXivsolv-int/9810006OpenAlexW3104304985MaRDI QIDQ4947609

D. N. Nishnianidze, Mikhail V. Ioffe, Alexander A. Andrianov

Publication date: 25 April 2000

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9810006

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Supersymmetry and quantum mechanics (81Q60) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

Related Items (14)

Nonlinear supersymmetry in quantum mechanics: algebraic properties and differential repre\-sentation ⋮ Nonlinear supersymmetry for non-Hermitian, non-diagonalizable Hamiltonians. I: General properties ⋮ Two-dimensional supersymmetry: from SUSY quantum mechanics to integrable classical models ⋮ Analytical solution of two-dimensional Scarf II model by means of SUSY methods ⋮ Supersymmetry versus integrability in two-dimensional classical mechanics. ⋮ General solution of the two-dimensional intertwining relations for supercharges with hyperbolic (Lorentz) metrics ⋮ A class of partially solvable two-dimensional quantum models with periodic potentials ⋮ Exact solvability of a two-dimensional real singular Morse potential ⋮ SUSY intertwining relations of third order in derivatives ⋮ Double shape invariance of the two-dimensional singular Morse model ⋮ Pseudo-hermiticity of an exactly solvable two-dimensional model ⋮ New implicitly solvable potential produced by second order shape invariance ⋮ Exactly solvable two-dimensional complex model with a real spectrum ⋮ Two-dimensional SUSY-pseudo-Hermiticity without separation of variables

This page was built for publication: Classical integrable two-dimensional models inspired by SUSY quantum mechanics