Unique translation between Hamiltonian operators and functional integrals

被引：10

作者：

Gollisch, T ^{[1
]}

Wetterich, C ^{[1
]}

机构：

[1] Univ Heidelberg, Inst Theoret Phys, D-69120 Heidelberg, Germany

来源：

PHYSICAL REVIEW LETTERS | 2001年 / 86卷 / 01期

关键词：

D O I：

10.1103/PhysRevLett.86.1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A careful treatment of the discretization errors in the path integral formulation of quantum mechanics leads to a unique prescription for the translation from the Hamiltonian to the action in the functional integral. An example is given by an interaction quadratic in the: occupation number. characteristic for many body bosonic systems. As a result, the term linear in the occupation number (chemical potential) receives a correction as compared to the usual formulation based on coherent states. A perturbative calculation supports the relevance of this correction.

引用

页码：1 / 5

页数：5

共 24 条

[1] The transition temperature of the dilute interacting Bose gas for N internal states [J].