FRACTAL PATH-INTEGRALS WITH APPLICATIONS TO QUANTUM MANY-BODY SYSTEMS

被引：25

作者：

SUZUKI, M

机构：

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

来源：

PHYSICA A | 1992年 / 191卷 / 1-4期

关键词：

D O I：

10.1016/0378-4371(92)90574-A

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A general formulation of the fractal decomposition of exponential operators is reviewed briefly and its mathematical structure is discussed together with some applications to quantum many-body systems. More explicitly, the operator e(x(A + B) is decomposed into a product of the form e(x(A + B)) = f(m)(x) + O(x(m+1)) with f(m)(x) = e(t1xA) e(t2xB) e(t3xA) e(t4xB) ... e(tMxB). The parameters {t(j)} show a fractal structure as shown in the text.

引用

页码：501 / 515

页数：15

共 23 条

[1] IMPROVED EXPONENTIAL SPLIT OPERATOR METHOD FOR SOLVING THE TIME-DEPENDENT SCHRODINGER-EQUATION [J].