Solution of Dirac Equation with the Time-Dependent Linear Potential in Non-Commutative Phase Space

Xueling Jiang, Chaoyun Long, Shuijie Qin

Laboratory for Photoelectric Technology and Application, Guizhou University, Guiyang, China.
School of Mechanical Engineering, Guizhou University, Guiyang, China.

DOI: 10.4236/jmp.2013.47126                

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.

Keywords

Non-Commutative; Dirac Equation; Time-Dependent Linear Potentials; Exact Wave Function

Conflicts of Interest

The authors declare no conflicts of interest.

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