GENERALIZED COHERENT STATES APPROACH TO DEFORMATION QUANTIZATION

被引：2

作者：

Ghorashi, S. A. A. ^{[1
,2
]}

Roknizadeh, R. ^{[1
]}

Harouni, M. Bagheri ^{[1
]}

机构：

[1] Univ Isfahan, Quantum Opt Grp, Dept Phys, Esfahan 8174673441, Iran

[2] Univ Houston, Dept Phys, Houston, TX 77204 USA

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2012年 / 27卷 / 18期

关键词：

Deformation quantization; star product; nonlinear coherent state; HARMONIC-OSCILLATOR; F-OSCILLATORS; FIELD;

D O I：

10.1142/S0217751X12500959

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

Generalized (f)-coherent state approach in deformation quantization framework is investigated by using a *-eigenvalue equation. For this purpose we introduce a new Moyal star product called f-star product, so that by using this *(f)-eigenvalue equation one can obtain exactly the spectrum of a general Hamiltonian of a deformed system. Eventually the method is supported with some examples.

引用

页数：12

共 28 条

[1]

[Anonymous], 1992, GEOMETRIC QUANTIZATI

[2]

BARTLETT MS, 1949, P CAMB PHILOS SOC, V45, P545

[3] DEFORMATION THEORY AND QUANTIZATION .1. DEFORMATIONS OF SYMPLECTIC STRUCTURES [J].