Gaussian Klauder coherent states of general time-dependent harmonic oscillator

被引：7

作者：

Choi, JR ^{[1
]}

机构：

[1] Sunmoon Univ, Div Nat Sci, Dept New Mat Sci, Asan 336708, South Korea

来源：

PHYSICS LETTERS A | 2004年 / 325卷 / 01期

关键词：

Gaussian Klauder coherent states; time-dependent harmonic oscillator; uncertainty product; Paul trap;

D O I：

10.1016/j.physleta.2004.03.025

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigated the Gaussian Klauder coherent states for general time-dependent harmonic oscillator. We confirmed that the uncertainty product of general time-dependent harmonic oscillator in Gaussian Klauder coherent state is same as the minimum uncertainty product in number state. This is exactly agree with the theory for the standard harmonic oscillator developed by Fox et al. We applied our study to a damped harmonic oscillator and a harmonic oscillator with time-variable frequency that. can be applied to a motion of an ion in a Paul trap. The uncertainty product in Gaussian Klauder coherent state fluctuated more or less as time goes by. (C) 2004 Elsevier B.V All rights reserved.

引用

页码：1 / 8

页数：8

共 30 条

[1] QUANTUM MOTION IN A PAUL TRAP [J].

BROWN, LS .

PHYSICAL REVIEW LETTERS, 1991, 66 (05) :527-529

[2] Thermal state of the general time-dependent harmonic oscillator [J].

Choi, JR .

PRAMANA-JOURNAL OF PHYSICS, 2003, 61 (01) :7-20

[3] HARMONIC-OSCILLATOR WITH TIME-DEPENDENT MASS AND FREQUENCY AND A PERTURBATIVE POTENTIAL [J].

DANTAS, CMA ;

PEDROSA, IA ;

BASEIA, B .

PHYSICAL REVIEW A, 1992, 45 (03) :1320-1324

[4] COHERENT STATES OF A CHARGED-PARTICLE IN A TIME-DEPENDENT UNIFORM ELECTROMAGNETIC FIELD OF A PLANE CURRENT [J].

DODONOV, VV ;

MANKO, VI ;

MALKIN, IA .

PHYSICA, 1972, 59 (02) :241-&

[5] Generalized coherent states [J].

Fox, RF .

PHYSICAL REVIEW A, 1999, 59 (05) :3241-3255

[6] Generalized coherent states and quantum-classical correspondence [J].

Fox, RF ;

Choi, MH .

PHYSICAL REVIEW A, 2000, 61 (03) :11

[7]

GLAUBER R, 1973, J MATH PHYS, V14, P576

[8]

GLAUBER RJ, 1968, FUNDAMENTAL PROBLEMS, V2, P140

[9]

Holz A., 1970, NUOVO CIMENTO A, V4, P1319

[10] Coherent states for the hydrogen atom [J].

Klauder, JR .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1996, 29 (12) :L293-L298

← 1 2 3 →