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On Quasi-equivalence of Quasifree States of the Canonical Commutation Relations

On Quasi-equivalence of Quasifree States of the Canonical Commutation Relations

A necessary and sufficient condition for two quasifree states of CCR's (the canonical commutation relations) to yield quasi-equivalent representations is obtained, in the most general setting where states are non gauge-invariant in general and the symplectic form defining CCR might be degenerate (either from the start or after completion relative …