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Abstract: In this paper we discuss the path integral representations for the coordinatesystems on the complex sphere S3C. The Schroedinger equation, respectively thepath integral, separates in exactly 21 orthogonal coordinate systems. Weenumerate these coordinate systems and we are able to present the path integralrepresentations explicitly in the majority of the cases. In each solution theexpansion into the wave-functions is stated. Also, the kernel and thecorresponding Green function can be stated in closed form in terms of theinvariant distance on the sphere, respectively on the hyperboloid.



Autor: Christian Grosche

Fuente: https://arxiv.org/







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