The regular ground states of the linear boson field in terms of soft modes

DOI10.4171/PRIMS/56-1-6zbMath1433.81114OpenAlexW3002226329MaRDI QIDQ2302860

Alfred Rieckers

Publication date: 26 February 2020

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/prims/56-1-6

zbMATH Keywords

quasifree automorphism groupsBauer simplicesboson condensatesC*-Weyl algebrasextremal orthogonal decompositionsG-abeliannessG-centralityground state setsmacroscopic wave functionspre-measures on dual spaces

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Automorphism groups of locally compact groups (22D45) Applications of Lie groups to the sciences; explicit representations (22E70) Axiomatic quantum field theory; operator algebras (81T05) General theory of (C^*)-algebras (46L05) Quantum equilibrium statistical mechanics (general) (82B10) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Positive definite functions on groups, semigroups, etc. (43A35) Bosonic systems in quantum theory (81V73)

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