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Volume 2, Issue 4
Bound State Solutions of the $s$-Wave Klein-Gordon Equation with Position Dependent Mass for Exponential Potential

Tong-Qing Dai

DOI: 10.4208/jams.012511.030511a

J. At. Mol. Sci., 2 (2011), pp. 360-367.

Published online: 2011-02

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  • Abstract

Bound state solutions of the s-wave Klein-Gordon equation with spatially dependent exponential-type mass for exponential-type scalar and vector potential are studied by using the Nikiforov-Uvarov method. The wave functions of the system are taken on the form of the Laguerre polynomials and the energy spectra of the system are discussed. In limit of constant mass, the wave functions and energy eigenvalues are in good agreement with the results previously.

  • Keywords

Klein-Gordon equation, Bound state solution, position dependent mass, exponential potential.

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

daitongqing@126.com (Tong-Qing Dai)

  • BibTex
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  • TXT
@Article{JAMS-2-360, author = {Dai , Tong-Qing}, title = {Bound State Solutions of the $s$-Wave Klein-Gordon Equation with Position Dependent Mass for Exponential Potential}, journal = {Journal of Atomic and Molecular Sciences}, year = {2011}, volume = {2}, number = {4}, pages = {360--367}, abstract = {

Bound state solutions of the s-wave Klein-Gordon equation with spatially dependent exponential-type mass for exponential-type scalar and vector potential are studied by using the Nikiforov-Uvarov method. The wave functions of the system are taken on the form of the Laguerre polynomials and the energy spectra of the system are discussed. In limit of constant mass, the wave functions and energy eigenvalues are in good agreement with the results previously.

}, issn = {2079-7346}, doi = {https://doi.org/10.4208/jams.012511.030511a}, url = {http://global-sci.org/intro/article_detail/jams/8177.html} }
TY - JOUR T1 - Bound State Solutions of the $s$-Wave Klein-Gordon Equation with Position Dependent Mass for Exponential Potential AU - Dai , Tong-Qing JO - Journal of Atomic and Molecular Sciences VL - 4 SP - 360 EP - 367 PY - 2011 DA - 2011/02 SN - 2 DO - http://doi.org/10.4208/jams.012511.030511a UR - https://global-sci.org/intro/article_detail/jams/8177.html KW - Klein-Gordon equation, Bound state solution, position dependent mass, exponential potential. AB -

Bound state solutions of the s-wave Klein-Gordon equation with spatially dependent exponential-type mass for exponential-type scalar and vector potential are studied by using the Nikiforov-Uvarov method. The wave functions of the system are taken on the form of the Laguerre polynomials and the energy spectra of the system are discussed. In limit of constant mass, the wave functions and energy eigenvalues are in good agreement with the results previously.

Tong-Qing Dai. (2019). Bound State Solutions of the $s$-Wave Klein-Gordon Equation with Position Dependent Mass for Exponential Potential. Journal of Atomic and Molecular Sciences. 2 (4). 360-367. doi:10.4208/jams.012511.030511a
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