On the space of Schwartz operators in the symmetric Fock space and its dual

DOI10.1134/S1063454122020030WikidataQ114075019 ScholiaQ114075019MaRDI QIDQ2674741

E. L. Baitenov, Grigori G. Amosov

Publication date: 14 September 2022

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

zbMATH Keywords

quantum white noisesymmetric Fock spacespace of Schwartz operators

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Applications of selfadjoint operator algebras to physics (46L60) Distributions, generalized functions, distribution spaces (46F99) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items (1)

On reconstruction of states from evolution induced by quantum dynamical semigroups perturbed by covariant measures

Cites Work

• Unnamed Item
• On various functional representations of the space of Schwartz operators
• On representations of the canonical commutation relations
• Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
• Schwartz operators
• On the diagonalization of a bilinear Hamiltonian by a Bogoliubov transformation

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