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Asymptotically vanishing -symmetric potentials and negative-mass Schrödinger equations

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 May 2009Embargo end date: 01 Jan 2009 English Publisher:Elsevier BVJournal:Physics Letters A, volume 373, pages 1,921-1,924 (issn: 0375-9601, Copyright policy )
Authors: Znojil, Miloslav; Siegl, Petr; Lévai, Géza;

doi: 10.1016/j.physleta.2009.03.070 , 10.48550/arxiv.0903.5468

arXiv: 0903.5468

Asymptotically vanishing -symmetric potentials and negative-mass Schrödinger equations

Abstract

In paper I [M. Znojil and G. Lévai, Phys. Lett. A 271 (2000) 327] we introduced the Coulomb - Kratzer bound-state problem in its cryptohermitian, PT-symmetric version. An instability of the original model is revealed and its necessary stabilization is achieved, for almost all couplings, by an unusual, negative choice of the bare mass in Schroediner equation.

15 pp, 3 figs

Related Organizations
Keywords

Quantum Physics, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, FOS: Physical sciences, Quantum Physics (quant-ph), Coulomb-Kratzer bound-state

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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
11
Average
Top 10%
Top 10%
Green
bronze