Discrete phase space - II: The second quantization of free relativistic wave fields

Details Discrete phase space - II: The second quantization of free relativistic wave fields Discrete phase space - II: The second quantization of free relativistic wave fields

2008-11-06

arxiv.org/abs/0811.0853v1

Can. J. Phys. 88: 93-109 (2010)

Physics

Mathematical Physics

27 pages, 1 figure

Scientific paper

10.1139/P09-090

The Klein-Gordon equation, the Maxwell equation, and the Dirac equation are presented as partial difference equations in the eight-dimensional covariant discrete phase space. These equations are also furnished as difference-differential equations in the arena of discrete phase space and continuous time. The scalar field and electromagnetic fields are quantized with commutation relations. The spin-1/2 field is quantized with anti-commutation relations. Moreover, the total momentum, energy and charge of these free relativisitic quantized fields in the discrete phase space and continuous time are computed exactly. The results agree completely with those computed from the relativisitic fields defned on the space-time continuum.

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