Abstract
We introduce the foundational aspects of noncommutative quantum mechanics (NCQM). In order to develop the NCQM formulation we need to specify the phase space. We consider both space-space noncommutativity (space-time noncommutativity is not considered) and momentum-momentum noncommutativity as for the phase space. Then we study the second quantization of quantum field on noncommutative (NC) phase space and the energy of electromagnetic field is given when NC effect acts on. i i j ij i i j i ij j i j i
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