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Contractivity of Gamma Wick products
Journal of Mathematical Analysis and Applications, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aurel Iulian Stan, Florin Catrina
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Wick products of the CCR algebra
Mathematische Nachrichten, 2011Emilio R Negrin, Benito J Gonzalez
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Multiple Wick Product Chaos Processes
Journal of Theoretical Probability, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Marcus, Michael B., Rosen, Jay
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A HÖLDER INEQUALITY FOR NORMS OF POISSONIAN WICK PRODUCTS
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2013An understanding of the second quantization operator of a constant times the identity operator and the Poissonian Wick product, without using the orthogonal Charlier polynomials, is presented first. We use both understanding, with and without the Charlier polynomials, to prove some inequalities about the norms of Poissonian Wick products.
Lanconelli A, Stan A
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Recursion Relation for Wick Products of the CCR Algebra
Complex Analysis and Operator Theory, 2008In this paper we obtain an explicit recursion relation for the Wick products of the CCR algebra in terms of Wick products of lesser order and the Bose fields. From this formula we prove that the Fock (vacuum) state vanishes for the commutation of the Wick products of order n and the Bose fields,being \(n\, \in\, {\mathbb N}\), n > 1.
Emilio R Negrin, Benito J Gonzalez
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BEST CONSTANTS IN NORMS OF WICK PRODUCTS
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2006Let [Formula: see text] be a Fock space and, for any non-negative integer k, let [Formula: see text] be the sum of all homogeneous chaos spaces of order at most k. For all non-negative integers m and n, the Wick product is a bounded bilinear operator from Γ (Hc)m × Γ (Hc)n into Γ (Hc)m +n with norm greater than or equal to [Formula: see text].
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Anti-Wick Symbols for Infinite Products in K-Homology
K-Theory, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kosyak, Alexandr, Zekri, Richard
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A Fedosov Star Product of the Wick Type for Kähler Manifolds
Letters in Mathematical Physics, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bordemann, M., Waldmann, S.
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BEST CONSTANTS IN NORMS OF RETARDED WICK PRODUCTS
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2010We find the best constant c(m, n, r), such that the inequality: [Formula: see text] holds for all polynomials f and g of degree at most m and n, respectively, where X is a normally distributed random vector, ⋄r denotes the r-retarded Wick product and ‖⋅‖ the L2-norm.
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On the product of wick polynomials in the axiomatic field theory
Il Nuovo Cimento A, 1965A provisional definition of the product of Wick polynomial expansion of operators in axiomatic field theory is suggested. This definition is applied for the computation of the asymptotic forms of the currents in the model of quantum electrodynamics, which are shown to agree with the expressions of the renormalized canonical theory.
A. Böhm, M. Polivanov
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