Construction of photon-added spin coherent states and their statistical properties

doi:10.1063/1.4926355

Title: Construction of photon-added spin coherent states and their statistical properties

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Abstract

In the present work, we construct and investigate some properties of the photon-added spin coherent states (PA-SCSs). The Klauder’s minimal set of conditions required to obtain coherent states are discussed. We give the analytical form for the positive weight function in the resolution of unity. Finally, we examine the statistical properties of the PA-SCSs in terms of different parameters using the Mandel’s Q-parameter. All these quantities are expressed in terms of hypergeometric and Meijer G-functions, and so, the PA-SCSs are a new field of application for these functions.

Authors:

Berrada, K., E-mail: kberrada@ictp.it ^[1]; The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, Miramare-Trieste ^[2]

Al Imam Mohammad Ibn Saud Islamic University (IMSIU), College of Science, Department of Physics, Riyadh (Saudi Arabia)
(Italy)

Publication Date:: Wed Jul 15 00:00:00 EDT 2015

OSTI Identifier:: 22479697

Resource Type:: Journal Article

Journal Name:: Journal of Mathematical Physics

Additional Journal Information:: Journal Volume: 56; Journal Issue: 7; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0022-2488

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANNIHILATION OPERATORS; EIGENSTATES; FUNCTIONS; PHOTONS; SPIN

Citation Formats


                    Berrada, K., E-mail: kberrada@ictp.it, and The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, Miramare-Trieste. Construction of photon-added spin coherent states and their statistical properties.  United States: N. p., 2015. 
        Web.  doi:10.1063/1.4926355.

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                    Berrada, K., E-mail: kberrada@ictp.it, & The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, Miramare-Trieste. Construction of photon-added spin coherent states and their statistical properties.  United States.  https://doi.org/10.1063/1.4926355

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                    Berrada, K., E-mail: kberrada@ictp.it, and The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, Miramare-Trieste. 2015.  
        "Construction of photon-added spin coherent states and their statistical properties".  United States.  https://doi.org/10.1063/1.4926355.

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@article{osti_22479697,

  title        = {Construction of photon-added spin coherent states and their statistical properties},

  author       = {Berrada, K., E-mail: kberrada@ictp.it and The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, Miramare-Trieste},

  abstractNote = {In the present work, we construct and investigate some properties of the photon-added spin coherent states (PA-SCSs). The Klauder’s minimal set of conditions required to obtain coherent states are discussed. We give the analytical form for the positive weight function in the resolution of unity. Finally, we examine the statistical properties of the PA-SCSs in terms of different parameters using the Mandel’s Q-parameter. All these quantities are expressed in terms of hypergeometric and Meijer G-functions, and so, the PA-SCSs are a new field of application for these functions.},

  doi          = {10.1063/1.4926355},

  url          = {https://www.osti.gov/biblio/22479697},
  journal      = {Journal of Mathematical Physics},

  issn         = {0022-2488},

  number       = 7,

  volume       = 56,

  place        = {United States},

  year         = {Wed Jul 15 00:00:00 EDT 2015},

  month        = {Wed Jul 15 00:00:00 EDT 2015}

}

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