On the extension of a basic property of conditional expectations to second quantization operators | Zendy

Alberto Lanconelli | Zendy

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On the extension of a basic property of conditional expectations to second quantization operators

Author(s) -

Alberto Lanconelli

Publication year - 2009

Publication title -

communications on stochastic analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.224

H-Index - 10

eISSN - 2688-6669

pISSN - 0973-9599

DOI - 10.31390/cosa.3.3.04

Subject(s) - extension (predicate logic) , property (philosophy) , quantization (signal processing) , second quantization , mathematics , mathematical economics , computer science , psychology , epistemology , philosophy , algorithm , programming language , quantum , physics , creation and annihilation operators , quantum mechanics

The aim of this paper is to investigate whether a fundamental property of conditional expectations holds true for second quantization oper- ators. We provide necessary and su-cient conditions for that and we show how they reduce for speciflc choices of operators. Our proofs are based on two crucial formulas which relates Wick and ordinary products. New proofs for these two formulas are also given.

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