A model for an interacting quantum field

DOI10.1016/0022-1236(80)90106-8zbMath0504.46057OpenAlexW1994584806MaRDI QIDQ1836135

Bent Orsted

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0022-1236(80)90106-8

zbMATH Keywords

quantum fieldHilbert space of holomorphic functionsfree quantum field of Bose statisticsnonlinear infinite-dimensional Hermitian symmetric space

Mathematics Subject Classification ID

Constructive quantum field theory (81T08) Quantum equilibrium statistical mechanics (general) (82B10) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Miscellaneous applications of functional analysis (46N99) Equations in function spaces; evolution equations (58D25)

Related Items (5)

Measures on infinite dimensional Grassmann manifolds ⋮ The Berezin transform and invariant differential operators ⋮ A new class of unitarizable highest weight representations of infinite- dimensional Lie algebras. II ⋮ Unitary highest weight representations in Hilbert spaces of holomorphic functions on infinite dimensional domains ⋮ Hua measures on the space of $ p$-adic matrices and inverse limits of Grassmannians

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• The Mathematics of Second Quantization

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