Complex Square Well --- A New Exactly Solvable Quantum Mechanical Model
量子物理
2008-11-26 v1 凝聚态物理
高能物理 - 理论
数学物理
math.MP
摘要
Recently, a class of PT-invariant quantum mechanical models described by the non-Hermitian Hamiltonian was studied. It was found that the energy levels for this theory are real for all . Here, the limit as is examined. It is shown that in this limit, the theory becomes exactly solvable. A generalization of this Hamiltonian, (M=1,2,3,...) is also studied, and this PT-symmetric Hamiltonian becomes exactly solvable in the large-\epsilon limit as well. In effect, what is obtained in each case is a complex analog of the Hamiltonian for the square well potential. Expansions about the large-\epsilon limit are obtained.
关键词
引用
@article{arxiv.quant-ph/9906057,
title = {Complex Square Well --- A New Exactly Solvable Quantum Mechanical Model},
author = {Carl M. Bender and Stefan Boettcher and H. F. Jones and Van M. Savage},
journal= {arXiv preprint arXiv:quant-ph/9906057},
year = {2008}
}
备注
7 pages, Revtex, 2 eps-figures enclosed