The potential (iz)^m generates real eigenvalues only, under symmetric rapid decay conditions

Details The potential (iz)^m generates real eigenvalues only, under symmetric rapid decay conditions The potential (iz)^m generates real eigenvalues only, under symmetric rapid decay conditions

2002-07-20

arxiv.org/abs/hep-ph/0207251v1

J.Math.Phys. 46 (2005) 082110

Physics

High Energy Physics

High Energy Physics - Phenomenology

23 pages and 1 figure

Scientific paper

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.

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