Statistical Aspects of Coherent States of the Higgs Algebra
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.
KeywordsHiggs algebra Coherent states Statistical properties
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.
- 11.Sunilkumar, V.: Aspects of polynomial algebras and their physical applications, Thesis in University of Hyderabad. arXiv:math-ph/0203047