Yunnan Daxue xuebao. Shehui kexue ban

Generalized coherent states and exact solutions of parameter q non-harmonic oscillator

Changrong Wang

Published Jan 1, 2005• 0 citations

Abstract

Using the fundamental model which contains square-inverse potential function,the generalized coherent states and their relevant commutation relations of parameter q non-harmonic oscillator are studied.The energy level and wave function under two-dimensional degeneracy are calculated exactly.Especially,the case of A=0 is calculated and discussed.

Related papers

An Eigen-Solution of Inverse Square Potential Non-Harmonic Oscillator Equation and the Parameter Analyzes

Changrong Wang

Based on the model inducing the inverse square potential function non-harmonics oscillator,in the coordinates representation,precisely solved the energy eigen equation which this kind of harmonic oscillator complies with,did to the non-resonant parameter and the energy level formula discussed quite thoroughly.

Journal of Yunnan Normal UniversityJan 1, 20080 citations

COHERENT STATES AND GEOMETRIC PHASES IN THE CALOGERO–SUTHERLAND MODEL

Dae-Yup Song, JeongHyeong Park

Exact coherent states in the Calogero–Sutherland models (of time-dependent parameters) which describe identical harmonic oscillators interacting through inverse-square potentials are constructed, in terms of the classical solutions of a harmonic oscillator. For quasi-periodic coherent states of the time-periodic systems, geometric phases are evaluated. For the AN-1 Calogero–Sutherland model, the phase is calculated for a general coherent state. The phases for other models are also considered.

arXiv:quant-ph/0109108International Journal of Modern Physics AJan 20, 20024 citations

Amplitude-Squared Squeezing of Generalized q -Deformation Coherent States of a Non-harmonic Oscillator in a Finite-Dimensional Hilbert Space

Lu Dao

Generalized q-deformation coherent states of a non-harmonic oscillator in a finite-dimensional Hilbert Space are constructed. Their amplitude-squared squeezing are discussed. The result shows that there are squeezing effects in these quantum states. The relationship between condition of squeezing and parameters S, r, q is found.

Chinese Physics CJan 1, 20030 citations

Generalized Coherent States of 2+1 Dimensional Harmonic Non Harmonic Oscillator

Hai Yan Zhao

Generalized Coherent States of Non Harmonic Oscillator and Generalized Coherent States of two Dimensional Harmonic Oscillator are investigated.As a result,the generalized Coherent States of 2+1 Dimensional Harmonic Non Harmonic Oscillator is discussed.

Acta Scientiarum Naturalium Universitatis NeimongolJan 1, 19990 citations

The Approximate Solution and the Exact Solution of Three Dimensional Harmonic Oscillator in Potential V=λxy

Zhao Su-qin

The Approximate Solution and the Exact Solution of three dimensional harmonic oscillator in Potential V=λxy is derived.The energy level and degeneracy of three dimensional harmonic oscillatorin in Potential V=λxy is discussed.

Journal of Qinghai Junior Teachers' CollegeJan 1, 20090 citations

The Solution of Two Dimensional Harmonic Oscillator in Potential H′=(λμω_0~2)/2(x~2+y~2)

Zhao Su-qin

The Approximate Solution and the Exact Solution of Two dimensional harmonic oscillator in Potential H′=(λμω_0~2)/2(x~2+y~2) is derived.The energy level and degeneracy of Two dimensional harmonic oscillatorin in Potential H′=(λμω_0~2)/2(x~2+y~2) is discussed.

Journal of Qinghai Nationalities UniversityJan 1, 20100 citations