Ultracoherence in Bose algebras
Some calculus involving creation and annihilation operators on a Fock space is provided and used to formalize in terms of an explicit formula some of standard results about quasifree states in terms of what the author calls ultracoherent vectors (Section 2), projective representation of the metaplectic group by Bogoliubov transformations (Theorem 3B3), the real wave representation of Segal (Theorem 4C1), Markovian semigroups in the normal-ordered form, and the explosion of the counting process (Section 6).
creation and annihilation operators on a Fock space
projective representation of the metaplectic group by Bogoliubov transformations
Markovian semigroups in the normal-ordered form
scientific article; zbMATH DE number 4113321
scientific article