Wiener-Itô decomposition of polynomial operators formed with boson quasi-free fields

DOI10.1016/0022-247X(85)90222-7zbMath0575.60055MaRDI QIDQ1063944

Hiroshi Nakazawa

Publication date: 1985

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

orthogonal polynomialsHermite polynomialsWick productsmultiple Wiener integralsoperator-valued distributionsFock states

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Stochastic integrals (60H05)

Related Items

Stochastic differential equations in quantum statistical mechanics. Observables and multiple Wiener integrals ⋮ Multiplication formulas of orthogonal polynomials of boson field operators: Derivation based on the generalized phase-space method

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