Published August 30, 2025
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Barut–Girardello coherent states for the isotonic oscillator

Creators

  • 1. Laboratoire de Physique des Matériaux et des Composants à Semi-Conducteurs, Faculté Des Sciences (FDS), Département de Physique, Université de Lomé (UL), 01 B.P. 1515 Lomé 01 Togo, Lomé, TOGO
  • 2. International Chair of Mathematical Physics and Applications, ICMPA-UNESCO Chair University of Abomey-Calavi, 072 B.P. 50 Cotonou, Republic of Benin Cotonou, BENIN

Description

In this work, we study the physical and mathematical characteristics of Barut–Giradello coherent states for the isotonic oscillator. Some relevant optical and statistical properties are analyzed and discussed. Furthermore, the thermodynamic and temporal stabilities are obtained, respectively, from [Formula: see text]-representation of the density operator, and probability density approaches. In addition, a comparative analysis of non-classical behaviors is made between these states and those of the Gazeau–Klauder type constructed for this quantum system.
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