Index theory and second quantization of boundary value problems

DOI10.1016/0022-1236(92)90001-YzbMath0788.47025OpenAlexW2045540000MaRDI QIDQ1187772

Palle E. T. Jorgensen, Geoffrey L. Price

Publication date: 23 July 1992

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(92)90001-y

zbMATH Keywords

dualityintertwining operatorsFock representationderivationindefinite inner product spacecanonical anticommutation relationsone-particle spaceisomorphism invariant for representation theory in Kreĭn spacessecond quantization functorspatial cohomological obstruction for semigroups of endomorphismstwo-sided boundary conditions

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Linear operators on spaces with an indefinite metric (47B50)

Related Items (4)

A recursion relation for the Wick products of the CAR algebra ⋮ The standard form of an \(E_0\)-semigroup ⋮ Wick products of the CCR algebra ⋮ The Powers-Arveson index for quasifree dynamical semigroups

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