Justification of c-number substitutions in bosonic Hamiltonians -: art. no. 080401

被引：62

作者：

Lieb, EH

Seiringer, R

Yngvason, J

机构：

[1] Princeton Univ, Dept Phys, Princeton, NJ 08544 USA

[2] Univ Vienna, Inst Theoret Phys, A-1090 Vienna, Austria

来源：

PHYSICAL REVIEW LETTERS | 2005年 / 94卷 / 08期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1103/PhysRevLett.94.080401

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The validity of substituting a c-number z for the k=0 mode operator a(0) is established rigorously in full generality, thereby verifying one aspect of Bogoliubov's 1947 theory. This substitution not only yields the correct value of thermodynamic quantities such as the pressure or ground state energy, but also the value of \z\(2) that maximizes the partition function equals the true amount of condensation in the presence of a gauge-symmetry-breaking term. This point had previously been elusive.

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页数：4

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