Coherent states in the fermionic Fock space

被引：2

作者：

Oeckl, Robert ^{[1
,2
]}

机构：

[1] Univ Erlangen Nurnberg, Inst Quantum Grav, D-91058 Erlangen, Germany

[2] Univ Nacl Autonoma Mexico, Ctr Ciencias Matemat, Morelia 58190, Michoacan, Mexico

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2015年 / 48卷 / 03期

关键词：

coherent states; Fock space; fermions; reproducing kernel Hilbert space; quantum field theory; OPERATORS;

D O I：

10.1088/1751-8113/48/3/035203

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We construct the coherent states in the sense of Gilmore and Perelomov for the fermionic Fock space. Our treatment is from the outset adapted to the infinite-dimensional case. The fermionic Fock space becomes in this way a reproducing kernel Hilbert space of continuous holomorphic functions.

引用

页数：22

共 14 条

[1] NONUNITARY BOGOLIUBOV TRANSFORMATIONS AND EXTENSION OF WICKS THEOREM [J].