Squeezed coherent states and the one-dimensional Morse quantum system

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 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.

15 pages, 10 figures. $\bullet$Revised section 4, results unchanged. Correction of formulas 35 and 37. Results unchanged because all variables are real numbers. arXiv admin note: substantial text overlap with arXiv:1010.3277

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