Exact solution of the Klein-Gordon equation for the PT-symmetric generalized Woods-Saxon potential by the Nikiforov-Uvarov method

The radial part of the Klein–Gordon equation for the Woods–Saxon potential is solved. In our calculations, we have applied the Nikiforov–Uvarov method by using the Pekeris approximation to the centrifugal potential for any l-states. The exact bound state energy eigenvalues and the corresponding eigenfunctions are obtained on the various values of the quantum numbers n and l. The nonrelativistic limit of the bound state energy spectrum was also found.

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APPROXIMATE ℓ-STATE SOLUTIONS TO THE KLEIN–GORDON EQUATION FOR MODIFIED WOODS–SAXON POTENTIAL WITH POSITION DEPENDENT MASS

International Journal of Modern Physics A ◽

10.1142/s0217751x0904600x ◽

2009 ◽

Vol 24 (20n21) ◽

pp. 3985-3994 ◽

Cited By ~ 13

Author(s):

ALTUĞ ARDA ◽

RAMAZAN SEVER

Keyword(s):

Approximation Scheme ◽

Gordon Equation ◽

Saxon Potential ◽

Radial Part ◽

Potential Term ◽

Energy Eigenvalues ◽

Klein Gordon ◽

Uvarov Method ◽

Dependent Mass ◽

Klein Gordon Equation

The radial part of the Klein–Gordon equation for the generalized Woods–Saxon potential is solved by using the Nikiforov–Uvarov method with spatially dependent mass within the new approximation scheme to the centrifugal potential term. The energy eigenvalues and corresponding normalized eigenfunctions are computed. The solutions in the case of constant mass are also obtained to check out the consistency of our new approximation scheme.

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BOUND STATES OF THE KLEIN–GORDON EQUATION FOR WOODS–SAXON POTENTIAL WITH POSITION DEPENDENT MASS

International Journal of Modern Physics C ◽

10.1142/s0129183108012480 ◽

2008 ◽

Vol 19 (05) ◽

pp. 763-773 ◽

Cited By ~ 8

Author(s):

ALTUĞ ARDA ◽

RAMAZAN SEVER

Keyword(s):

Bound States ◽

Gordon Equation ◽

One Dimension ◽

Saxon Potential ◽

Energy Eigenvalues ◽

Klein Gordon ◽

Uvarov Method ◽

Dependent Mass ◽

Mass Case ◽

Klein Gordon Equation

The effective mass Klein–Gordon equation in one dimension for the Woods–Saxon potential is solved by using the Nikiforov–Uvarov method. Energy eigenvalues and the corresponding eigenfunctions are computed. Results are also given for the constant mass case.

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APPROXIMATE ℓ-STATE SOLUTIONS OF A SPIN-0 PARTICLE FOR WOODS–SAXON POTENTIAL

International Journal of Modern Physics C ◽

10.1142/s0129183109013881 ◽

2009 ◽

Vol 20 (04) ◽

pp. 651-665 ◽

Cited By ~ 11

Author(s):

ALTUĞ ARDA ◽

RAMAZAN SEVER

Keyword(s):

Schrodinger Equation ◽

Bound States ◽

Gordon Equation ◽

Saxon Potential ◽

Radial Part ◽

Centrifugal Barrier ◽

Klein Gordon ◽

Uvarov Method ◽

Special Case ◽

Klein Gordon Equation

The radial part of Klein–Gordon equation is solved for the Woods–Saxon potential within the framework of an approximation to the centrifugal barrier. The bound states and the corresponding normalized eigenfunctions of the Woods–Saxon potential are computed by using the Nikiforov–Uvarov method. The results are consistent with the ones obtained in the case of generalized Woods–Saxon potential. The solutions of the Schrödinger equation by using the same approximation are also studied as a special case, and obtained the consistent results with the ones obtained before.

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EXACT SOLUTIONS OF THE KLEIN–GORDON EQUATION FOR THE ROSEN–MORSE TYPE POTENTIALS VIA NIKIFOROV–UVAROV METHOD

Modern Physics Letters A ◽

10.1142/s0217732308026686 ◽

2008 ◽

Vol 23 (35) ◽

pp. 3005-3013 ◽

Cited By ~ 14

Author(s):

A. REZAEI AKBARIEH ◽

H. MOTAVALI

Keyword(s):

Exact Solutions ◽

Gordon Equation ◽

Bound State ◽

S Wave ◽

Vector Potentials ◽

Klein Gordon ◽

The One ◽

Uvarov Method ◽

Equal Scalar ◽

Klein Gordon Equation

The exact solutions of the one-dimensional Klein–Gordon equation for the Rosen–Morse type potential with equal scalar and vector potentials are presented. First, we briefly review Nikiforov–Uvarov mathematical method. Using this method, wave functions and corresponding exact energy equation are obtained for the s-wave bound state. It has been shown that the results for Rosen–Morse type potentials reduce to the standard Rosen–Morse well and Eckart potentials in the special case. The PT-symmetry for these potentials is also considered.

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