Exact solutions for bound states of nonrelativistic PT-symmetric potentials by using SUSYQM approach: quadratic potential and hyperbolic Schiöberg-type potential

Exact solutions for bound states of nonrelativistic PT-symmetric potentials by using SUSYQM approach: quadratic potential and hyperbolic Schiöberg-type potential

In this study, the exact solutions of the bound states of the two PT -symmetric potentials: quadratic and hyperbolic Schiöberg-type potentials for the one-dimensional Schrödinger equation are obtained by using the SUSYQM approach. Solving the Schrödinger wave equations, the real energy eigenvalues a...

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Veröffentlicht in:Indian journal of physics 2021-07, Vol.95 (7), p.1445-1452
Hauptverfasser: Zaghou, N., Benamira, F., Guechi, L.
Format: Artikel
Sprache:eng
Schlagworte:
Astrophysics and Astroparticles
Eigenvalues
Exact solutions
Mathematical analysis
Original Paper
Physics
Physics and Astronomy
Schrodinger equation
Wave equations
Wave functions
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Zusammenfassung:In this study, the exact solutions of the bound states of the two PT -symmetric potentials: quadratic and hyperbolic Schiöberg-type potentials for the one-dimensional Schrödinger equation are obtained by using the SUSYQM approach. Solving the Schrödinger wave equations, the real energy eigenvalues and normalized wave functions are obtained. Some special cases of interest are discussed.
ISSN:0973-1458
0974-9845
DOI:10.1007/s12648-020-01809-0