GENERAL DECOMPOSITION-THEORY OF ORDERED EXPONENTIALS

被引：158

作者：

SUZUKI, M

机构：

[1] Department of Physics, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku

来源：

PROCEEDINGS OF THE JAPAN ACADEMY SERIES B-PHYSICAL AND BIOLOGICAL SCIENCES | 1993年 / 69卷 / 07期

关键词：

EXPONENTIAL OPERATOR; ORDERED EXPONENTIAL; DECOMPOSITION; TIME-DEPENDENT HAMILTONIAN; TROTTER FORMULA;

D O I：

10.2183/pjab.69.161

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

A general decomposition theory of ordered exponentials is presented by reducing the problem to the decomposition of ordinary exponential operators in terms of the super-operator J defined by F(t)exp(DELTAtJ)G(t) = F(t+DELTAt)G(t). It is proved that T(exp integral-t+DELTAt/t H(s)ds) = exp[DELTAt(H(t)+J)]. Here T denotes the time ordering.

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页码：161 / 166

页数：6

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