Statistical Aspects of Coherent States of the Higgs Algebra

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Abstract

We construct and study various aspects of coherent states of a polynomial angular momentum algebra. The coherent states are constructed using a new unitary representation of the nonlinear algebra. The new representation involves a parameter γ that shifts the eigenvalues of the diagonal operator J0.

Keywords

Higgs algebra Coherent states Statistical properties 

Notes

Acknowledgements

M.N.K. thanks CSIR-UGC, India for financial support through their SRF scheme. TS thanks SERB, India for financial support via Grant: ECR/2015/000081. We thank Prof. Bindu A. Bambah for her helpful discussions and insightful comments. We thank the referee for a careful reading of the manuscript and asking questions that have improved not only the manuscript but also our understanding of the results presented here.

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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Physics, Faculty of Science and TechnologyThe ICFAI Foundation for Higher EducationHyderabadIndia
  2. 2.School of PhysicsUniversity of HyderabadHyderabadIndia

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