A new approach to the exact solutions of the effective mass Schrodinger equation

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Date

2008-06-01

Author

TEZCAN, CEVDET
Sever, Ramazan
Yesiltas, Oezlem

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Effective mass Schrodinger equation is solved exactly for a given potential. Nikiforov-Uvarov method is used to obtain energy eigenvalues and the corresponding wave functions. A free parameter is used in the transformation of the wave function. The effective mass Schrodinger equation is also solved for the Morse potential transforming to the constant mass Schrodinger equation for a potential. One can also get solution of the effective mass Schrodinger equation starting from the constant mass Schrodinger equation.

Subject Keywords

Position-dependent mass, Effective mass Schrodinger equation, Morse potential, Nikiforov-Uvarov method

URI

https://hdl.handle.net/11511/62731

Journal

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS

DOI

https://doi.org/10.1007/s10773-007-9613-x

Collections

Department of Physics, Article

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A General Approach for the Exact Solution of the Schrodinger Equation TEZCAN, CEVDET; Sever, Ramazan (Springer Science and Business Media LLC, 2009-02-01) The Schrodinger equation is solved exactly for some well known potentials. Solutions are obtained reducing the Schrodinger equation into a second order differential equation by using an appropriate coordinate transformation. The Nikiforov-Uvarov method is used in the calculations to get energy eigenvalues and the corresponding wave functions.
Approximate eigenvalue and eigenfunction solutions for the generalized Hulthen potential with any angular momentum Ikhdair, Sameer M.; Sever, Ramazan (2007-10-01) An approximate solution of the Schrodinger equation for the generalized Hulthen potential with non-zero angular quantum number is solved. The bound state energy eigenvalues and eigenfunctions are obtained in terms of Jacobi polynomials. The Nikiforov-Uvarov method is used in the computations. We have considered the time-independent Schrodinger equation with the associated form of Hulthen potential which simulate the effect of the centrifugal barrier for any l-state. The energy levels of the used Hulthen pot...
Effective mass Schrodinger equation for exactly solvable class of one-dimensional potentials Aktas, Metin; Sever, Ramazan (2008-01-01) We deal with the exact solutions of Schrodinger equation characterized by position-dependent effective mass via point canonical transformations. The Morse, Poschl-Teller, and Hulthen type potentials are considered, respectively. With the choice of position-dependent mass forms, exactly solvable target potentials are constructed. Their energy of the bound states and corresponding wavefunctions are determined exactly.

Citation Formats

C. TEZCAN, R. Sever, and O. Yesiltas, “A new approach to the exact solutions of the effective mass Schrodinger equation,” INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, pp. 1713–1721, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62731.