Displaced Fock representations of the canonical commutation relations

Defines displaced Fock representations of the canonical commutation relations in an algebraic framework. Then the author considers the problem of unitary implementability of the symmetry group which acts on the one-particle space of the theory. This action induces an automorphism of the algebra of the CCR and a condition is found to ensure that this automorphism be implemented by a unitary group representation in the space of the displaced Fock representation. Using this condition the author proves the existence of infinitely many displaced Fock representations in which the group automorphism is implemented by a unitary action. This is done for a specific choice of a subgroup of the Poincare group, and for all cases of integer value of spin.

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