Authors: Shahram Dehdashti Rasoul Roknizadeh Ali Mahdifar Hongsheng Chen
Publish Date: 2015/04/21
Volume: 55, Issue: 1, Pages: 124-136
Abstract
In this paper we study the quantum free particle on the spherical space by applying da costa approach for quantum particle on the curved space We obtain the discrete energy eigenvalues and associated normalized eigenfunctions of the free particle on the sphere In addition we introduce the GazeauKlauder coherent states of free particle on the sphere Then the Gaussian coherent states is defined which is used to describe the localized particle on the spherical space Finally we study the relation between the fdeformed coherent states and GazeauKlauder ones for this systemThis work was sponsored by the National Natural Science Foundation of China under Grants No 61322501 and No 61275183 the National Program for Special Support of TopNotch Young Professionals the Program for New Century Excellent Talents NCET120489 in University and the Fundamental Research Funds for the Central Universities 2014XZZX00324 Also The authors wish to thank The Office of Graduate Studies of The University of Isfahan and Shahrekord University for their support
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