The potential (iz)^m generates real eigenvalues only, under symmetric rapid decay conditions
High Energy Physics - Phenomenology
2015-06-25 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We consider the eigenvalue problems -u"(z) +/- (iz)^m u(z) = lambda u(z), m >= 3, under every rapid decay boundary condition that is symmetric with respect to the imaginary axis in the complex z-plane. We prove that the eigenvalues lambda are all positive real.
Keywords
Cite
@article{arxiv.hep-ph/0207251,
title = {The potential (iz)^m generates real eigenvalues only, under symmetric rapid decay conditions},
author = {K. C. Shin},
journal= {arXiv preprint arXiv:hep-ph/0207251},
year = {2015}
}
Comments
23 pages and 1 figure