Casimir chaos in a boson Fock space

DOI10.1006/jfan.1994.1013zbMath0804.60052OpenAlexW2028335404MaRDI QIDQ1328330

K. R. Parthasarathy, Robin L. Hudson

Publication date: 19 January 1995

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

Full work available at URL: https://doi.org/10.1006/jfan.1994.1013

zbMATH Keywords

characteristic functionsecond quantizationspectral decompositionquantum stochastic calculusCasimir operatorsinfinitesimal representationquantum Itô's formulaFock boson space

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Quantum stochastic calculus (81S25) Applications of group representations to physics and other areas of science (20C35) Stochastic analysis (60H99)

Related Items (3)

Representation of Lie superalgebras and generalized boson-fermion equivalence in quantum stochastic calculus ⋮ Chaos map for the universal enveloping algebra ofU(N) ⋮ Algebraic structures and stochastic differential equations driven by Lévy processes

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