Application of asymptotic iteration method to the Khare-Mandal and its PT-symmetric QES partner potential

• Authors: Okan Özer , Vedat Aslan
• Languages of publication: EN

Abstracts

EN

We study the application of the asymptotic iteration method to the Khare-Mandal potential and its PT-symmetric partner. The eigenvalues and eigenfunctions for both potentials are obtained analytically. We have shown that although the quasi-exactly solvable energy eigenvalues of the Khare-Mandal potential are found to be in complex conjugate pairs for certain values of potential parameters, its PT-symmetric partner exhibits real energy eigenvalues in all cases.

Keywords

EN

asymptotic iteration method; PT-symmetry; Khare-Mandal potential

Discipline

• 03.65.Ge: Solutions of wave equations: bound states
• 03.65.Db: Functional analytical methods
• 03.65.-w: Quantum mechanics[see also 03.67.-a Quantum information; 05.30.-d Quantum statistical mechanics; 31.30.J- Relativistic and quantum electrodynamics (QED) effects in atoms, molecules, and ions in atomic physics]

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2008
• Volume: 6
• Issue: 4
• Pages: 879-883

Dates

published

1 - 12 - 2008

online

27 - 9 - 2008

Contributors

author

Okan Özer

• Department of Engineering Physics, Faculty of Engineering, University of Gaziantep, 27310, Gaziantep, Turkey

author

Vedat Aslan

• Department of Engineering Physics, Faculty of Engineering, University of Gaziantep, 27310, Gaziantep, Turkey

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Identifiers

DOI

10.2478/s11534-008-0119-9