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ERIC Number: EJ1053857
Record Type: Journal
Publication Date: 2011
Pages: 5
Abstractor: As Provided
ISSN: EISSN-1309-7202
Eigenenergies of a Relativistic Particle in an Infinite Range Linear Potential Using WKB Method
Shivalingaswamy, T.; Kagali, B. A.
European Journal of Physics Education, v2 n2 p72-76 2011
Energy eigenvalues for a non-relativistic particle in a linear potential well are available. In this paper we obtain the eigenenergies for a relativistic spin less particle in a similar potential using an extension of the well-known WKB method treating the potential as the time component of a four-vector potential. Since genuine bound states do not exist for positive rising potentials, our calculations are valid only for fairly low-lying levels. The transcendental eigenvalue equation that is obtained is solved using Mathematica software to get eigenenergies. Our results are compared with those for the non-relativistic case. The results may find applications besides having conceptual significance.
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A