NONORTHOGONAL BASIS-SETS IN QUANTUM-MECHANICS - REPRESENTATIONS AND 2ND QUANTIZATION

被引：57

作者：

ARTACHO, E ^{[1
]}

DELBOSCH, LM ^{[1
]}

机构：

[1] UNIV AUTONOMA MADRID, DEPT FIS MAT CONDENSADA, E-28049 MADRID, SPAIN

来源：

PHYSICAL REVIEW A | 1991年 / 43卷 / 11期

关键词：

D O I：

10.1103/PhysRevA.43.5770

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

A tensorial formalism is presented for the general use of nonorthogonal basis sets in quantum mechanics, both in representation theory and in second quantization. The natural formulation of second quantization for nonorthogonal basis sets defined here is shown to be formally very similar to the usual formulation for orthogonal basis sets. The formalism is used to study orthogonality effects in a Hubbard model defined on a semi-infinite lattice.

引用

页码：5770 / 5777

页数：8

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