Squeezed coherent states and the Morse quantum system

Details Squeezed coherent states and the Morse quantum system Squeezed coherent states and the Morse quantum system

2010-10-15

arxiv.org/abs/1010.3277v1

Physics

Mathematical Physics

23 pages, 8 figures, 2 tables

Scientific paper

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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