Nonregular representations of CCR algebras and algebraic fermion bosonization

DOI10.1016/0034-4877(93)90036-EzbMath0816.46077OpenAlexW1977245424MaRDI QIDQ1340719

Fabio Acerbi, Giovanni Morchio, Franco Strocchi

Publication date: 18 December 1994

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(93)90036-e

zbMATH Keywords

superselection sectorslocal Fermi fieldsultrastrong limits of bosonic variablesnonregular representations of CCR algebras

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of functional analysis in quantum physics (46N50) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (8)

Cylindrical Wigner measures ⋮ Type III representations and modular spectral triples for the noncommutative torus ⋮ FULL REGULARITY FOR A C*-ALGEBRA OF THE CANONICAL COMMUTATION RELATIONS ⋮ Modular spectral triples and deformed Fredholm modules ⋮ Freedman's theorem for unitarily invariant states on the CCR algebra ⋮ The resolvent algebra: A new approach to canonical quantum systems ⋮ The resolvent algebra: ideals and dimension ⋮ Superfluids in polymer quantum mechanics

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