新的 QES 厄米及非厄米 PT 不变势
数学物理
2011-12-19 v1 math.MP
量子物理
摘要
我们从准严格可解(QES)的厄米(因而为实数)以及复 PT 不变的双 sinh-Gordon 势出发,证明即使在加入微扰项后,两种情况下的所得势仍为 QES 势。进一步,通过反等谱变换,我们得到了厄米以及 PT 不变的复 QES 周期势。我们详细研究了相应 Bender-Dunne 多项式的各种性质。
引用
@article{arxiv.1112.3767,
title = {New QES Hermitian as well as non-Hermitian PT invariant Potentials},
author = {Avinash Khare and Bhabani Prasad Mandal},
journal= {arXiv preprint arXiv:1112.3767},
year = {2011}
}
备注
Revtex, 9 pages, Talk delivered by B. P. Mandal in the International conference on "Non-Hermitian Hamiltonians in Quantum Physics" held at BARC, Mumbai, India during January 13-16, 2009