Work

TRACE FORMULAS IN BOSON FOCK SPACES AND APPLICATIONS(Analysis of Operators on Gaussian Space and Quantum Probability Theory)

Year: 1995

Type: article

Abstract: Trace formulas for the heat semi-groups of second quantization operators and their perturbations in the abstract Boson Fock space are given in terms of path (functional) integral representations.As applications, an inequality of Golden-Thompson type and a classical limit are derived for the trace of the heat semi-group of a perturbed second quantization operator.The abstract results are applied to a model of $P(\emptyset)$ -type in quantum field theory.

Source: Institutional Repositories DataBase (IRDB)

Author: Asao Arai

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W412307536

FWCI:

Cites:

Cited by:

Related to: 10