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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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Exact solution of effective mass Schrodinger equation for the Hulthen potential
Sever, Ramazan; TEZCAN, CEVDET; Yesiltas, Oezlem; Bucurgat, Mahmut (2008-09-01)
A general form of the effective mass Schrodinger equation is solved exactly for Hulthen 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.
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.
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.
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...
Exact solutions of the schrodinger equation with position-dependent effective mass via general point canonical transformation
Tezcan, Cevdet; Sever, Ramazan (2007-10-01)
Exact solutions of the Schrodinger equation are obtained for the Rosen-Morse and Scarf potentials with the position-dependent effective mass by appliying a general point canonical transformation. The general form of the point canonical transformation is introduced by using a free parameter. Two 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.
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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.