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Exact solutions of the D-dimensional Schrodinger equation for a ring-shaped pseudoharmonic potential. (Ikhdair, Sameer M.,)
Bibliographical information (record 266205)
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Exact solutions of the D-dimensional Schrodinger equation for a ring-shaped pseudoharmonic potential.
Author:
 Ikhdair, Sameer M., Search Author in Amazon Books

Publisher:
De Gruyter Open Ltd.,
Edition:
 2008.
Classification:
 QC 21.3
URL:
http://library.neu.edu.tr:2048/login?url=http://dx.doi.org/10.2478/s11534-008-0024-2
Detailed notes
    - A new non-central potential, consisting of a pseudoharmonic potential plus another recently proposed ring-shaped potential, is solved. It has the form V(r, theta) = 1/8 Kr-e(2) (r/r(e) - r(e)/r)(2) + beta cos(2)theta/r(2)sin(2)theta. The energy eigenvalues and eigenfunctions of the bound-states for the Schrodinger equation in D-dimensions for this potential are obtained analytically by using the Nikiforov-Uvarov method. The radial and angular parts of the wave functions are obtained in terms of orthogonal Laguerre and Jacobi polynomials. We also find that the energy of the particle and the wave functions reduce to the energy and the wave functions of the bound-states in three dimensions.
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Library
Section
EOL-945
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NEU Grand LibraryOnline (QC 21.3 .E93 2008)
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