CORRECTION-TERM THEOREM CONCERNING DECOMPOSITIONS OF EXPONENTIAL OPERATORS

被引：9

作者：

HATANO, N

SUZUKI, M

机构：

[1] Department of Physics, Faculty of Science, University of Tokyo, Tokyo

来源：

PHYSICS LETTERS A | 1991年 / 153卷 / 4-5期

关键词：

D O I：

10.1016/0375-9601(91)90792-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is proved that the traces of such correction terms to approximants of exponential operators as are defined in the exponent of exp (xH) vanish. When the approximants are applied to the generalised Trotter decomposition of partition functions, the beta-dependence of the correction becomes of higher order by one.

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页码：191 / 194

页数：4

相关论文

共 8 条

[1] NEW RESULTS ON TROTTER-LIKE APPROXIMATIONS [J].

FYE, RM .

PHYSICAL REVIEW B, 1986, 33 (09) :6271-6280

[2]

HATANO N, UNPUB PROG THEOR PHY

[3] QUANTUM STATISTICAL MONTE-CARLO METHODS AND APPLICATIONS TO SPIN SYSTEMS [J].

SUZUKI, M .

JOURNAL OF STATISTICAL PHYSICS, 1986, 43 (5-6) :883-909

[4] FRACTAL DECOMPOSITION OF EXPONENTIAL OPERATORS WITH APPLICATIONS TO MANY-BODY THEORIES AND MONTE-CARLO SIMULATIONS [J].

SUZUKI, M .

PHYSICS LETTERS A, 1990, 146 (06) :319-323

[5] GENERALIZED TROTTERS FORMULA AND SYSTEMATIC APPROXIMANTS OF EXPONENTIAL OPERATORS AND INNER DERIVATIONS WITH APPLICATIONS TO MANY-BODY PROBLEMS [J].

SUZUKI, M .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1976, 51 (02) :183-190

[6]

SUZUKI M, 1991, IN PRESS J MATH PHYS

[7] BAKER-HAUSDORFF FORMULA AND A PROBLEM IN CRYSTAL PHYSICS [J].

WEISS, GH ;

MARADUDIN, AA .

JOURNAL OF MATHEMATICAL PHYSICS, 1962, 3 (04) :771-&

[8] EXPONENTIAL OPERATORS AND PARAMETER DIFFERENTIATION IN QUANTUM PHYSICS [J].

WILCOX, RM .

JOURNAL OF MATHEMATICAL PHYSICS, 1967, 8 (04) :962-&