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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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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 Quantum Systems with Displacement Operator: Inverse Square Plus Coulomb-Like Potential
Arda, Altug; Sever, Ramazan (2015-10-01)
The Schrodinger-like equation written in terms of the displacement operator is solved analytically for a inverse square plus Coulomb-like potential. Starting from the new Hamiltonian, the effects of the spatially dependent mass on the bound states and normalized wave functions of the "usual" inverse square plus Coulomb interaction are discussed.
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.
Exact solution of Schrodinger equation for Pseudoharmonic potential
Sever, Ramazan; TEZCAN, CEVDET; Aktas, Metin; Yesiltas, Oezlem (2008-02-01)
Exact solution of Schrodinger equation for the pseudoharmonic potential is obtained for an arbitrary angular momentum. The energy eigenvalues and corresponding eigenfunctions are calculated by Nikiforov-Uvarov method. Wavefunctions are expressed in terms of Jacobi polynomials. The energy eigenvalues are calculated numerically for some values of l and n with n <= 5 for some diatomic molecules.
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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.