The function spaces for direct product representations of the canonical commutation relations

DOI10.1007/BF01645175zbMath0173.29703OpenAlexW2024474046MaRDI QIDQ2532298

Ludwig Streit

Publication date: 1967

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01645175

zbMATH Keywords

quantum theory

Mathematics Subject Classification ID

Applications of functional analysis in quantum physics (46N50) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (10)

Properties of ``Quadratic Canonical Commutation Relation Representations ⋮ THE RIEMANN ZETA FUNCTION AS AN EQUIVARIANT DIRAC INDEX ⋮ Infinite tensor products of operators ⋮ Eigenfunction expansions of operators admitting separation of an infinite number of variables ⋮ Representations of the CAR generated by the representations of the CCR. III. Non-Fock extension ⋮ Infinite tensor products of Banach spaces I ⋮ Number operators for representations of the canonical commutation relations ⋮ On self-adjointness in infinite tensor product spaces ⋮ Continuity properties of the representations of the canonical communication relations ⋮ The Dirac-Ramond operator on loops in flat space

Cites Work

• Über einen Satz von Herrn M. H. Stone
• Hamiltonian Formalism and the Canonical Commutation Relations in Quantum Field Theory
• Coherent and Incoherent States of the Radiation Field
• Direct-Product Representations of the Canonical Commutation Relations
• Continuous-Representation Theory. V. Construction of a Class of Scalar Boson Field Continuous Representations
• The mathematical structure of the bardeen-cooper-schrieffer model
• Mathematical aspects of the quantum theory of fields. Part V. Fields modified by linear homogeneous forces
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