Trace Formulas, a Golden-Thompson Inequality and Classicallimit in Boson Fock Space
Trace Formulas, a Golden-Thompson Inequality and Classicallimit in Boson Fock Space
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玻色子福克空间中的迹公式、Golden-Thompson 不等式和经典极限
DOI：
10.1006/jfan.1996.0036
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发表时间：
1994
期刊：
影响因子：
--
通讯作者：
A. Arai
中科院分区：
文献类型：
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作者：
A. Arai
本文给出了抽象玻色子-Fock空间中二次量子化算符及其扰动的热半群的迹公式。作为应用，得到了扰动二次量子化算子的热半群迹的GoldenThompson型不等式和经典极限.抽象结果应用于量子场论中的P（，）-型模型。出版社：Academic Press，Inc.
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(,)-type in quantum field theory. 1996 Academic Press, Inc.