FRACTAL DECOMPOSITION OF EXPONENTIAL OPERATORS WITH APPLICATIONS TO MANY-BODY THEORIES AND MONTE-CARLO SIMULATIONS

被引：662

作者：

SUZUKI, M

机构：

[1] Department of Physics, Faculty of Science, University of Tokyo, Bunkyo-ku, Tokyo

来源：

PHYSICS LETTERS A | 1990年 / 146卷 / 06期

关键词：

D O I：

10.1016/0375-9601(90)90962-N

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A new systematic scheme of decomposition of exponential operators is presented, namely exp [x(A+B)]=Sm(x)+O(xm+1) for any positive integer m, where Sm(x)=et1Aet2Bet3Aet4B...etMA. A general scheme of construction of {tj} is given explicitly. The decomposition exp[x(A+B)]=[Sm(x/n)]n+O(xm+1/nm) yields a new efficient approach to quantum Monte Carlo simulations. © 1990.

引用

页码：319 / 323

页数：5