Generation of exactly solvable non-Hermitian potentials with real energies
Quantum Physics
2009-11-10 v1
Abstract
A series of exactly solvable non-trivial complex potentials (possessing real spectra) are generated by applying the Darboux transformation to the excited eigenstates of a non-Hermitian potential V(x). This method yields an infinite number of non-trivial partner potentials, defined over the whole real line, whose spectra are nearly exactly identical to the original potential.
Keywords
Cite
@article{arxiv.quant-ph/0312089,
title = {Generation of exactly solvable non-Hermitian potentials with real energies},
author = {Anjana Sinha and Pinaki Roy},
journal= {arXiv preprint arXiv:quant-ph/0312089},
year = {2009}
}
Comments
10 pages, 2 figures, Based on the talk presented at the 1st International Workshop "Psedo-Hermitian Hamiltonians in Quantum Physics", held in Prague, June 16, 17, 2003. To be published in Czech. J. Phys. (Jan. 2004)