PROPERTIES OF HIGHER-ORDER TROTTER FORMULAS

被引：23

作者：

JANKE, W

SAUER, T

机构：

[1] Institut für Theoretische Physik, Freie Universität Berlin, W-1000 Berlin 33

来源：

PHYSICS LETTERS A | 1992年 / 165卷 / 03期

关键词：

D O I：

10.1016/0375-9601(92)90035-K

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate higher-order Trotter formulas which converge more rapidly towards the continuum than the usual version. We derive a formula which is convergent up to fourth order in the discretization parameter. We test this formulation by applying it to the path integral treatment of the quantum mechanical harmonic oscillator and to a quantum statistical toy model. Some problems inherent in this approach are pointed out.

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页码：199 / 205

页数：7

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