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arXiv · hep-ph/0207251

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

K. C. Shin
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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.

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K. C. Shin. 2002-07-20. The potential (iz)^m generates real eigenvalues only, under symmetric rapid decay conditions. https://doi.org/10.1063/1.2009667

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