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Comment on “Coherent states on spheres” [J. Math. Phys.43, 1211 (2002)]
4.W. Magnus, F. Oberhettinger, and R. F. Soni, Formulas and Theorems for the Special Functions of Mathematical Physics (Springer, Berlin, 1966).
5.I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Academic, San Diego/London, 2000).
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Hall and Mitchell described a family of heat kernels (or equivalently coherent states) and an associated resolution of the identity for a quantum particle whose classical configuration space is the d-dimensional sphere S d J. Math. Phys.43(3), 1211 (2002). These heat kernels were chosen intelligently but in the case of d = 2, “one” of the formulas for the heat kernel must be corrected.
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