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

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