Squeezed coherent states and the Morse quantum system

2010/10/15 by M. Angelova, Angelova, M., V. Hussin +1 · 1 citation
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1010.3277

23 pages, 8 figures, 2 tables

arxiv created 2010/10/15 · arxiv updated 2010/10/19

Abstract

The Morse potential 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 harmonic oscillator using ladder operators. 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.

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• Squeezed coherent states and the one-dimensional Morse quantum system

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