An-Najah University Journal for Research - A (Natural Sciences)

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Keywords

• thermal states
• Mittag-Leffler function
• operator ordering
• coherent states
• energy spectra

Abstract

In order to examine the generalized coherent states, defined in the Barut-Girardello manner, whose normalization unction is just the four-parameter generalized Mittag-Leffler function, we used a special pair of non-linear perators which generate these states. Some characteristic properties for pure, as well as mixed (thermal) oherent states are also examined. All calculations are made using the rules of the diagonal ordering of perators (DOOT). Finally, the integral counterpart of the Mittag-Leffler coherent states are examined which is onnected with nu-function. The paper is an example of the application of a mathematical entities (Mittag-Leffler function and nu-function) in quantum mechanics (coherent states formalism)

معلومات المقال

قيد النشر

الكلمات الإفتتاحية

• thermal states
• Mittag-Leffler function
• operator ordering
• coherent states
• energy spectra

الملخص

In order to examine the generalized coherent states, defined in the Barut-Girardello manner, whose normalization unction is just the four-parameter generalized Mittag-Leffler function, we used a special pair of non-linear perators which generate these states. Some characteristic properties for pure, as well as mixed (thermal) oherent states are also examined. All calculations are made using the rules of the diagonal ordering of perators (DOOT). Finally, the integral counterpart of the Mittag-Leffler coherent states are examined which is onnected with nu-function. The paper is an example of the application of a mathematical entities (Mittag-Leffler function and nu-function) in quantum mechanics (coherent states formalism)