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The quantum free particle on spherical and hyperbolic spaces: A curvature dependent approach. II

The quantum free particle on spherical and hyperbolic spaces: A curvature dependent approach. II

This paper is the second part of a study of the quantum free particle on spherical and hyperbolic spaces by making use of a curvature-dependent formalism. Here we study the analogues, on the three-dimensional spherical and hyperbolic spaces, $S_\k^3$ ($κ>0$) and $H_\k^3$ ($κ<0$), to the standard {\itshape spherical waves} in …