Second quantization and pseudodifferential operators

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1986 English Publisher:Springer Science and Business Media LLCJournal:Theoretical and Mathematical Physics, volume 66, pages 223-230 (issn: 0040-5779, eissn: 1573-9333,

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Authors: Khrennikov, A. Yu.;

doi: 10.1007/bf01018218

Second quantization and pseudodifferential operators

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Abstract

In the article infinite-dimensional pseudodifferential operators are investigated. The main formulas of the calculus of these pseudodifferential operators are obtained. The so-called Schrödinger's qp-symbols for secondary quantization operators and for operators of an evolution of interacting fields are considered.

Keywords

Integral, integro-differential, and pseudodifferential operators, calculus, evolution of interacting fields, Pseudodifferential operators as generalizations of partial differential operators, secondary quantization, infinite-dimensional, PDEs of infinite order, pseudodifferential operators, Schrödinger's qp-symbols

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