# Canonical linear transformation on fock space with an indefinite metric

@article{Ito1978CanonicalLT, title={Canonical linear transformation on fock space with an indefinite metric}, author={K. R. Ito}, journal={Letters in Mathematical Physics}, year={1978}, volume={2}, pages={349-355} }

We first construct a Fock space with an indefinite metric 〈,〉=( , Θ), where Θ is a unitary and Hermitian operator. We define a Θ-selfadjoint (Segal's) field Φϕ(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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