Hermitian quasi-exactly solvable matrix Shroedinger operators
数学物理
2007-05-23 v1 高能物理 - 唯象学
偏微分方程分析
math.MP
量子物理
摘要
We construct six multi-parameter families of Hermitian quasi-exactly solvable matrix Schroedinger operators in one variable. The method for finding these operators relies heavily upon a special representation of the Lie algebra o(2,2) whose representation space contains an invariant finite-dimensional subspace. Besides that we give several examples of quasi-exactly solvable matrix models that have square-integrable eigenfunctions. These examples are in direct analogy with the quasi-exactly solvable scalar Schroedinger operators obtained by Turbiner and Ushveridze.
关键词
引用
@article{arxiv.math-ph/9812001,
title = {Hermitian quasi-exactly solvable matrix Shroedinger operators},
author = {Stanislav Spichak and Renat Zhdanov},
journal= {arXiv preprint arXiv:math-ph/9812001},
year = {2007}
}
备注
Latex, 19 pages