A Novel Quasi-Exactly Solvable Model with Total Transmission Modes
Quantum Physics
2008-06-10 v4 High Energy Physics - Theory
Abstract
In this paper we present a novel quasi-exactly solvable model with symmetric inverted potentials which are unbounded from below. The quasi-exactly solvable states are shown to be total transmission (or reflectionless) modes. From these modes even and odd wavefunctions can be constructed which are normalizable and flux-zero. Under the procedure of self-adjoint extension, a discrete spectrum of bound states can be obtained for these inverted potentials and the solvable part of the spectrum is the quasi-exactly solvable states we have discovered.
Keywords
Cite
@article{arxiv.quant-ph/0606144,
title = {A Novel Quasi-Exactly Solvable Model with Total Transmission Modes},
author = {Hing-Tong Cho and Choon-Lin Ho},
journal= {arXiv preprint arXiv:quant-ph/0606144},
year = {2008}
}
Comments
Revtex, 9 pages, 1 eps figure, claim on continuous bound state spectra removed, more discussions on self-adjoint extensions added