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Solution of Dirac Equation with the Time-Dependent Linear Potential in Non-Commutative Phase Space
School of Mechanical Engineering, Guizhou University, Guiyang, China
Laboratory for Photoelectric Technology and Application, Guizhou University, Guiyang, China
Laboratory for Photoelectric Technology and Application, Guizhou University, Guiyang, China
- 1 School of Mechanical Engineering, Guizhou University, Guiyang, China
- 2 Laboratory for Photoelectric Technology and Application, Guizhou University, Guiyang, China
- 3 Laboratory for Photoelectric Technology and Application, Guizhou University, Guiyang, China
Journal of Modern Physics·Volume 04 (2013)·Pages 940–944·Published 4 July 2013·DOI10.4236/jmp.2013.47126
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Abstract
In this paper, the time-dependent invariant of the Dirac equation with time-dependent linear potential has been constructed in non-commutative phase space. The corresponding analytical solution of the Dirac equation is presented by Lewis-Riesenfield invariant method.
KeywordsNon-CommutativeDirac EquationTime-Dependent Linear PotentialsExact Wave Function
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