Dirac equation with a magnetic field in 3D non-commutative phase space

For a spin-l/2 particle moving in a background magnetic field in noncommutative phase space, the Dirac equation is solved when the particle is allowed to move off the plane that the magnetic field is perpendicular to. It is shown that the motion of the charged particle along the magnetic field has t...

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Bibliographic Details
Published inChinese physics C Vol. 37; no. 6; pp. 42 - 46
Main Author 梁麦林 张亚彬 杨瑞林 张福林
Format Journal Article
LanguageEnglish
Published 01.06.2013
Subjects
Charged particles
Dirac equation
Dirac方程
Magnetic fields
Operators
Orbits
Pictures
Planes
Three dimensional
带电粒子
狄拉克方程
相空间
磁场方向
自旋1;2粒子
非交换
Online AccessGet full text
ISSN1674-1137
0254-3052
DOI10.1088/1674-1137/37/6/063106

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Summary:For a spin-l/2 particle moving in a background magnetic field in noncommutative phase space, the Dirac equation is solved when the particle is allowed to move off the plane that the magnetic field is perpendicular to. It is shown that the motion of the charged particle along the magnetic field has the effect of increasing the magnetic field. In the classical limit, matrix elements of the velocity operator related to the probability give a clear physical picture. Along an effective magnetic field, the mechanical momentum is conserved and the motion perpendicular to the effective magnetic field follows a round orbit. If using the velocity operator defined by the coordinate operators, the motion becomes complicated.
Bibliography:11-5641/O4
non-commutative phase space, Dirac equation, velocity operator, magnetic field
For a spin-l/2 particle moving in a background magnetic field in noncommutative phase space, the Dirac equation is solved when the particle is allowed to move off the plane that the magnetic field is perpendicular to. It is shown that the motion of the charged particle along the magnetic field has the effect of increasing the magnetic field. In the classical limit, matrix elements of the velocity operator related to the probability give a clear physical picture. Along an effective magnetic field, the mechanical momentum is conserved and the motion perpendicular to the effective magnetic field follows a round orbit. If using the velocity operator defined by the coordinate operators, the motion becomes complicated.
LIANG Mai-Lin ZHANG Ya-Bin YANG Rui-Lin ZHANG Fu-Lin（ Physics Department, School of Science, Tianjin University, Tianjin 300072, China）
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ISSN:1674-1137
0254-3052
DOI:10.1088/1674-1137/37/6/063106