Squeezed coherent states and the one-dimensional Morse quantum system

Angelova, Maia, Hertz, Anaelle and Hussin, Veronique (2012) Squeezed coherent states and the one-dimensional Morse quantum system. Journal of Physics A: Mathematical and Theoretical, 45 (24). p. 244007. ISSN 1751-8113

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Official URL: http://dx.doi.org/10.1088/1751-8113/45/24/244007

Abstract

The Morse potential one-dimensional quantum system is a realistic model for studying vibrations of atoms in a diatomic molecule. This system is very close to the harmonic oscillator one. We thus propose a construction of squeezed coherent states similar to the one of the harmonic oscillator using ladder operators. The properties of these states are analysed with respect to the localization in position, minimal Heisenberg uncertainty relation, the statistical properties and illustrated with examples using the finite number of states in a well-known diatomic molecule.

Item Type: Article
Additional Information: This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical devoted to 'Coherent states: mathematical and physical aspects'.
Subjects: F300 Physics
G100 Mathematics
Department: Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User: Sarah Howells
Date Deposited: 20 Apr 2012 15:00
Last Modified: 09 May 2017 08:37
URI: http://nrl.northumbria.ac.uk/id/eprint/6372

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