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Second quantization and pseudodifferential operators. (English. Russian original) Zbl 0622.35082

Theor. Math. Phys. 66, 223-230 (1986); translation from Teor. Mat. Fiz. 66, No. 3, 339-349 (1986).
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.
Reviewer: N.Vasilevski

MSC:

35R50 PDEs of infinite order
35S05 Pseudodifferential operators as generalizations of partial differential operators
47Gxx Integral, integro-differential, and pseudodifferential operators
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