Dirac Equation : Wave Function and Phase Shifts for a Linear Potential
Lalit K. Sharma, and Lesolle D. Sebitla* Author for corresponding; e-mail address: sharmalk@mopipi.ub.bw
Volume: Vol.34 No.1 (JANUARY 2007)
Research Article
DOI:
Received: 26 January 2006, Revised: -, Accepted: 24 April 2006, Published: -
Citation: Sharma L.K. and Sebitla L.D., Dirac Equation : Wave Function and Phase Shifts for a Linear Potential, Chiang Mai Journal of Science, 2007; 34(1): 15-22.
Abstract
In this paper, we derive the asymptotic expressions for the wavefunctions and s-wave phase shifts for a linear potential in the Dirac equation. The presentation is done from the two coupled equations for the radial parts of the Dirac equation. A simple method for correcting the above obtained expressions has also been discussed. This expression has been found to provide good results for small values of r.