GENERALIZED COMMUTATION RELATIONS FOR A SINGLE-MODE OSCILLATOR

被引：52

作者：

CHATURVEDI, S

KAPOOR, AK

SANDHYA, R

SRINIVASAN, V

SIMON, R

机构：

[1] UNIV HYDERABAD, SCH PHYS, HYDERABAD 500134, ANDHRA PRADESH, INDIA

[2] INST MATH SCI, MADRAS 600113, INDIA

来源：

PHYSICAL REVIEW A | 1991年 / 43卷 / 08期

关键词：

D O I：

10.1103/PhysRevA.43.4555

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

A generalized commutation relation of a single-mode oscillator is proposed. Bose-Einstein, Fermi-Dirac, and Greenberg's infinite statistics are shown to be special cases of this commutation relation. The Fock states, coherent states, and analogs of squeezed coherent states for this commutation relation are constructed. Finally, the quantization of a free infinite-statistics field is discussed using the Umezawa-Takahashi procedure [H. Umezawa and Y. Takahashi, Prog. Theor. Phys. 9, 14 (1953); Nucl. Phys. 51, 193 (1964)].

引用

页码：4555 / 4557

页数：3

共 15 条

[1] THERMAL COUNTERPARTS OF NONCLASSICAL STATES IN QUANTUM OPTICS [J].