On time-dependent quasi-exactly solvable models

Abstract

In this paper we demonstrate that there exists a close relationship between quasi-exactly solvable quantum models and two special classes of classical dynamical systems. One of these systems can be considered a natural generalization of the multi-particle Calogero-Moser model and the second one is a classical matrix model.

LaTeX, 12 pages

References in corpus (3)

• Quartic Anharmonic Oscillator and Random Matrix Theory
• Quasi-Exactly Solvable Time-Dependent Potentials
• Quasi-exactly solvable problems and random matrix theory

Cited by in corpus (2)

• Quantum Inozemtsev model, quasi-exact solvability and N-fold supersymmetry
• Quasi-exactly solvable quantum systems with explicitly time-dependent Hamiltonians