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Physics Letters A
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arXiv.org e-Print Archive
Preprint . 1999
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Physics Letters A
Article . 1999 . Peer-reviewed
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Article . 1999
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−symmetric harmonic oscillators

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Aug 1999Embargo end date: 01 Jan 1999Publisher:Elsevier BVJournal:Physics Letters A, volume 259, pages 220-223 (issn: 0375-9601, Copyright policy )
Authors: Miloslav Znojil;

doi: 10.1016/s0375-9601(99)00429-6 , 10.48550/arxiv.quant-ph/9905020

arXiv: http://arxiv.org/abs/quant-ph/9905020

−symmetric harmonic oscillators

Abstract

Within the framework of the recently proposed formalism using non-hermitean Hamiltonians constrained merely by their PT invariance we describe a new exactly solvable family of the harmonic-oscillator-like potentials with non-equidistant spectrum. Our one-dimensional superposition of the harmonic x^2 with the centrifugal-like G/x^2 is regularized by a purely imaginary shift of $x$.

9 pages, submitted to Phys. Lett. A

Keywords

Quantum Physics, FOS: Physical sciences, Quantum Physics (quant-ph)

  • BIP!
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    citations
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    		 223
    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.
    		 Top 10%
    influence
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    		 Top 1%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Top 1%
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citations
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!
223
Top 10%
Top 1%
Top 1%
Green
bronze