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Shape Invariant Potential Formalism for Photon-Added Coherent State Construction

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Mathematical Structures and Applications

Abstract

An algebro-operator approach, called shape invariant potential method, of constructing generalized coherent states for photon-added particle system is presented. Illustration is given on Pöschl–Teller potentials.

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Acknowledgements

This work is supported by TWAS Research Grant RGA No. 17-542 RG/MATHS/AF/AC_G -FR3240300147. The ICMPA-UNESCO Chair is in partnership with the Association pour la Promotion Scientifique de l’Afrique (APSA), France, and Daniel Iagolnitzer Foundation (DIF), France, supporting the development of mathematical physics in Africa.

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Authors and Affiliations

  1. Département de Physique, Laboratoire de Physique des Matériaux et de Mécanique Appliquée, Université de Lomé, Faculté des Sciences, Lomé, Togo

    Komi Sodoga & Isiaka Aremua

  2. University of Abomey-Calavi, International Chair in Mathematical Physics and Applications (ICMPA), Cotonou, Benin

    Komi Sodoga, Isiaka Aremua & Mahouton Norbert Hounkonnou

Authors
  1. Komi Sodoga
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  2. Isiaka Aremua
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  3. Mahouton Norbert Hounkonnou
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Correspondence to Komi Sodoga .

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Editors and Affiliations

  1. Mathematical Sciences Department, The University of Alabama in Huntsville, Hunstville, AL, USA

    Toka Diagana

  2. Department of Mathematics, Howard University, Washington, DC, USA

    Bourama Toni

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Sodoga, K., Aremua, I., Hounkonnou, M.N. (2018). Shape Invariant Potential Formalism for Photon-Added Coherent State Construction. In: Diagana, T., Toni, B. (eds) Mathematical Structures and Applications. STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health. Springer, Cham. https://doi.org/10.1007/978-3-319-97175-9_17

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