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Exact solution of effective mass Schrodinger equation for the Hulthen potential
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Date
2008-09-01
Author
Sever, Ramazan
TEZCAN, CEVDET
Yesiltas, Oezlem
Bucurgat, Mahmut
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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.
Subject Keywords
Position-dependent mass
,
Effective mass schrodinger equation
,
Hulthen potential
,
Nikiforov-Uvarov method
URI
https://hdl.handle.net/11511/62948
Journal
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
DOI
https://doi.org/10.1007/s10773-008-9656-7
Collections
Department of Physics, Article
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A new approach to the exact solutions of the effective mass Schrodinger equation
TEZCAN, CEVDET; Sever, Ramazan; Yesiltas, Oezlem (2008-06-01)
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 equ...
Exact solution of Schrodinger equation for Pseudoharmonic potential
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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.
Effective Mass Quantum Systems with Displacement Operator: Inverse Square Plus Coulomb-Like Potential
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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 Dirac equation for Woods-Saxon potential: Scattering, bound states, and resonances
AYDOĞDU, OKTAY; Arda, Altug; Sever, Ramazan (2012-04-01)
Approximate scattering and bound state solutions of the one-dimensional effective-mass Dirac equation with the Woods-Saxon potential are obtained in terms of the hypergeometric-type functions. Transmission and reflection coefficients are calculated by using behavior of the wave functions at infinity. The same analysis is done for the constant mass case. It is also pointed out that our results are in agreement with those obtained in literature. Meanwhile, an analytic expression is obtained for the transmissi...
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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R. Sever, C. TEZCAN, O. Yesiltas, and M. Bucurgat, “Exact solution of effective mass Schrodinger equation for the Hulthen potential,”
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
, pp. 2243–2248, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62948.