Discrete PT-symmetric square-well oscillators
量子物理
2007-05-23 v1
摘要
Exact solvability of the discretized N-point version of the PT-symmetric square-well model is pointed out. Its wave functions are found proportional to the classical Tshebyshev polynomials of a complex argument. At all N a compact secular equation is derived giving the real spectrum of energies at any non-Hermiticity strength Z below its finite and weakly N-dependent critical value. In the limit of vanishing Z the model degenerates to a Hermitian Hueckel Hamiltonian.
引用
@article{arxiv.quant-ph/0511110,
title = {Discrete PT-symmetric square-well oscillators},
author = {Miloslav Znojil},
journal= {arXiv preprint arXiv:quant-ph/0511110},
year = {2007}
}
备注
12 pp