On the normalization constant of PT-symmetric and real Rosen-Morse I potentials

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

The physically admissible solutions of the PT-symmetric and real Rosen-Morse I potential are identified. The normalization constants of the wave functions are derived for the first time in both cases, and it is shown that the pseudo-norm exhibits oscillatory behaviour (- 1)n with respect to the principal quantum number.

Original languageEnglish
Pages (from-to)6484-6489
Number of pages6
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume372
Issue number43
DOIs
Publication statusPublished - Oct 20 2008

Fingerprint

norms
quantum numbers
wave functions

Keywords

  • Normalization constants
  • Pseudo-norm
  • PT symmetry
  • Solvable potentials

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

On the normalization constant of PT-symmetric and real Rosen-Morse I potentials. / Lévai, G.

In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 372, No. 43, 20.10.2008, p. 6484-6489.

Research output: Contribution to journalArticle

@article{1345177132134e929b3513486618bbe4,
title = "On the normalization constant of PT-symmetric and real Rosen-Morse I potentials",
abstract = "The physically admissible solutions of the PT-symmetric and real Rosen-Morse I potential are identified. The normalization constants of the wave functions are derived for the first time in both cases, and it is shown that the pseudo-norm exhibits oscillatory behaviour (- 1)n with respect to the principal quantum number.",
keywords = "Normalization constants, Pseudo-norm, PT symmetry, Solvable potentials",
author = "G. L{\'e}vai",
year = "2008",
month = "10",
day = "20",
doi = "10.1016/j.physleta.2008.08.073",
language = "English",
volume = "372",
pages = "6484--6489",
journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",
issn = "0375-9601",
publisher = "Elsevier",
number = "43",

}

TY - JOUR

T1 - On the normalization constant of PT-symmetric and real Rosen-Morse I potentials

AU - Lévai, G.

PY - 2008/10/20

Y1 - 2008/10/20

N2 - The physically admissible solutions of the PT-symmetric and real Rosen-Morse I potential are identified. The normalization constants of the wave functions are derived for the first time in both cases, and it is shown that the pseudo-norm exhibits oscillatory behaviour (- 1)n with respect to the principal quantum number.

AB - The physically admissible solutions of the PT-symmetric and real Rosen-Morse I potential are identified. The normalization constants of the wave functions are derived for the first time in both cases, and it is shown that the pseudo-norm exhibits oscillatory behaviour (- 1)n with respect to the principal quantum number.

KW - Normalization constants

KW - Pseudo-norm

KW - PT symmetry

KW - Solvable potentials

UR - http://www.scopus.com/inward/record.url?scp=53149116636&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=53149116636&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2008.08.073

DO - 10.1016/j.physleta.2008.08.073

M3 - Article

AN - SCOPUS:53149116636

VL - 372

SP - 6484

EP - 6489

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

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

SN - 0375-9601

IS - 43

ER -