Bound states of the five-parameter exponential-type potential model

Exact solutions of the Schrödinger equation for a five-parameter exponential-type potential model have been obtained analytically in two cases from first principles. Using the exact solutions, we re-analyze the energy spectra and wavefunctions for a subset of the five-parameter exponential-type pote...

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Bibliographic Details
Published inPhysics letters. A Vol. 311; no. 2; pp. 115 - 125
Main Authors Jia, Chun-Sheng, Li, Yun, Sun, Yu, Liu, Jian-Yi, Sun, Liang-Tian
Format Journal Article
LanguageEnglish
Published Elsevier B.V 12.05.2003
Subjects
Eigenfunction
Eigenvalue
Five-parameter exponential-type potential model
PT symmetry
Schrödinger equation
03.65.Fd
03.65.Ge
Eigenfunction
Eigenvalue
Five-parameter exponential-type potential model
Schrödinger equation
PT symmetry
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Summary:Exact solutions of the Schrödinger equation for a five-parameter exponential-type potential model have been obtained analytically in two cases from first principles. Using the exact solutions, we re-analyze the energy spectra and wavefunctions for a subset of the five-parameter exponential-type potential model, i.e., complex PT-symmetric versions of the Rosen–Morse well, Eckart, Scarf II, generalized Pöschl–Teller and Pöschl–Teller II potentials.
ISSN:0375-9601
1873-2429
DOI:10.1016/S0375-9601(03)00502-4