PT-Symmetric solutions of schrodinger equation with position-dependent mass via point canonical transformation

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2008-05-01

Author

TEZCAN, CEVDET
Sever, Ramazan

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PT-symmetric solutions of Schrodinger equation are obtained for the Scarf and generalized harmonic oscillator potentials with the position-dependent mass. A general point canonical transformation is applied by using a free parameter. Three different forms of mass distributions are used. A set of the energy eigenvalues of the bound states and corresponding wave functions for target potentials are obtained as a function of the free parameter.

Subject Keywords

Physics and Astronomy (miscellaneous), General Mathematics

URI

https://hdl.handle.net/11511/62616

Journal

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS

DOI

https://doi.org/10.1007/s10773-007-9589-6

Collections

Department of Physics, Article

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Analytical solution of the Schrodinger equation for Makarov potential with any l angular momentum Bayrak, O.; Karakoc, M.; Boztosun, I.; Sever, Ramazan (Springer Science and Business Media LLC, 2008-11-01) We present the analytical solution of the Schrodinger Equation for the Makarov potential within the framework of the asymptotic iteration method for any n and l quantum numbers. Energy eigenvalues and the corresponding wave functions are calculated. We also obtain the same results for the ring shaped Hartmann potential which is the special form of the non-central Makarov potential.
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Citation Formats

C. TEZCAN and R. Sever, “PT-Symmetric solutions of schrodinger equation with position-dependent mass via point canonical transformation,” INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, pp. 1471–1478, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62616.