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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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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.
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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.
Exact polynomial eigensolutions of the Schrodinger equation for the pseudoharmonic potential
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The polynomial solution of the Schrodinger equation for the Pseudoharmonic potential is found for any arbitrary angular momentum l. The exact bound-state energy eigenvalues and the corresponding eigenfunctions are analytically calculated. The energy states for several diatomic molecular systems are calculated numerically for various principal and angular quantum numbers. By a proper transformation, this problem is also solved very simply by using the known eigensolutions of anharmonic oscillator potential.
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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.