Canonical linear transformation on fock space with an indefinite metric |
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Authors: | K. R. Ito |
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Affiliation: | (1) Research Institute for Mathematical Sciences, Kyoto University, 606 Kyoto, Japan |
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Abstract: | We first construct a Fock space with an indefinite metric ,=( , ), where is a unitary and Hermitian operator. We define a -selfadjoint (Segal's) field (f) which obeys the canonical commutation relations (CCR) with an indefinite metric. We consider a transformation 349-2 (T = real linear) which leaves the CCR invariant. We investigate the implementability of T by an operator on the Fock space. |
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