Integrable and superintegrable quantum systems in a magnetic field
数学物理
2007-05-23 v1 math.MP
摘要
Integrable quantum mechanical systems with magnetic fields are constructed in two-dimensional Euclidean space. The integral of motion is assumed to be a first or second order Hermitian operator. Contrary to the case of purely scalar potentials, quadratic integrability does not imply separation of variables in the Schroedinger equation. Moreover, quantum and classical integrable systems do not necessarily coincide: the Hamiltonian can depend on the Planck constant in a nontrivial manner.
引用
@article{arxiv.math-ph/0311051,
title = {Integrable and superintegrable quantum systems in a magnetic field},
author = {Josee Berube and Pavel Winternitz},
journal= {arXiv preprint arXiv:math-ph/0311051},
year = {2007}
}
备注
23 pages ,1 figure