Asymptotically vanishing PT-symmetric potentials and negative-mass Schrödinger equations

Miloslav Znojil; Petr Siegl; Géza Lévai

doi:10.1016/j.physleta.2009.03.070

Asymptotically vanishing PT-symmetric potentials and negative-mass Schrödinger equations

Miloslav Znojil^*
, Petr Siegl
, Géza Lévai

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

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

Original language	English
Pages (from-to)	1921-1924
Number of pages	4
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	373
Issue number	22
DOIs	https://doi.org/10.1016/j.physleta.2009.03.070
Publication status	Published - 11 May 2009
Externally published	Yes

ASJC Scopus subject areas

General Physics and Astronomy

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10.1016/j.physleta.2009.03.070

Cite this

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title = "Asymptotically vanishing PT-symmetric potentials and negative-mass Schr{\"o}dinger equations",

abstract = "In paper I [M. Znojil, G. L{\'e}vai, Phys. Lett. A 271 (2000) 327] we introduced the Coulomb-Kratzer bound-state problem in its crypto-Hermitian, PT-symmetric version. An instability of the original model is revealed here. A necessary stabilization is achieved, for almost all couplings, by an unusual, negative choice of the bare mass in Schr{\"o}dinger equation.",

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AU - Znojil, Miloslav

AU - Siegl, Petr

AU - Lévai, Géza

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N2 - In paper I [M. Znojil, G. Lévai, Phys. Lett. A 271 (2000) 327] we introduced the Coulomb-Kratzer bound-state problem in its crypto-Hermitian, PT-symmetric version. An instability of the original model is revealed here. A necessary stabilization is achieved, for almost all couplings, by an unusual, negative choice of the bare mass in Schrödinger equation.

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

UR - https://www.scopus.com/pages/publications/64649091971

U2 - 10.1016/j.physleta.2009.03.070

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M3 - Article

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SN - 0375-9601

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JO - Physics Letters, Section A: General, Atomic and Solid State Physics

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ER -

Asymptotically vanishing PT-symmetric potentials and negative-mass Schrödinger equations

Abstract

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