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Title: Coherent states for the nonlinear harmonic oscillator

Abstract

Wave packets for the quantum nonlinear oscillator are considered in the generalized coherent state framework. To first order in the nonlinearity parameter the coherent state behaves very similar to its classical counterpart. The position expectation value oscillates in a simple harmonic manner. The energy-momentum uncertainty relation is time independent as in a harmonic oscillator. Various features (such as the squeezed state nature) of the coherent state have been discussed.

Authors:
 [1]
  1. Physics and Applied Mathematics Unit, Indian Statistical Institute, 203 B. T. Road, Kolkata 700108 (India)
Publication Date:
OSTI Identifier:
22093611
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 53; Journal Issue: 6; Other Information: (c) 2012 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANNIHILATION OPERATORS; EIGENSTATES; EXCITED STATES; EXPECTATION VALUE; HARMONIC OSCILLATORS; NONLINEAR PROBLEMS; OSCILLATORS; WAVE PACKETS

Citation Formats

Ghosh, Subir. Coherent states for the nonlinear harmonic oscillator. United States: N. p., 2012. Web. doi:10.1063/1.4729757.
Ghosh, Subir. Coherent states for the nonlinear harmonic oscillator. United States. doi:10.1063/1.4729757.
Ghosh, Subir. Fri . "Coherent states for the nonlinear harmonic oscillator". United States. doi:10.1063/1.4729757.
@article{osti_22093611,
title = {Coherent states for the nonlinear harmonic oscillator},
author = {Ghosh, Subir},
abstractNote = {Wave packets for the quantum nonlinear oscillator are considered in the generalized coherent state framework. To first order in the nonlinearity parameter the coherent state behaves very similar to its classical counterpart. The position expectation value oscillates in a simple harmonic manner. The energy-momentum uncertainty relation is time independent as in a harmonic oscillator. Various features (such as the squeezed state nature) of the coherent state have been discussed.},
doi = {10.1063/1.4729757},
journal = {Journal of Mathematical Physics},
number = 6,
volume = 53,
place = {United States},
year = {Fri Jun 15 00:00:00 EDT 2012},
month = {Fri Jun 15 00:00:00 EDT 2012}
}
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