Squeezed coherent states and the one-dimensional Morse quantum system

Maia Angelova; Anaelle Hertz; Veronique Hussin

doi:10.1088/1751-8113/45/24/244007

Squeezed coherent states and the one-dimensional Morse quantum system

Maia Angelova, Anaelle Hertz, Veronique Hussin

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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.

Original language	English
Pages (from-to)	244007
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	45
Issue number	24
DOIs	https://doi.org/10.1088/1751-8113/45/24/244007
Publication status	Published - 2012

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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.",

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AU - Hertz, Anaelle

AU - Hussin, Veronique

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AB - 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.

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DO - 10.1088/1751-8113/45/24/244007

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VL - 45

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JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

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Squeezed coherent states and the one-dimensional Morse quantum system

Abstract

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