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Path integral treatment of a family of super-integrable systems in n-dimensional Euclidean space

Title: Path integral treatment of a family of super-integrable systems in n-dimensional Euclidean space
Authors: Chefrour, M. T.; Benamira, F.; Guechi, L.; Mameri, S.
Source: Chin. J. Phys., Vol. 41, N 6 (2003) 582-594
Publication Year: 2003
Collection: Quantum Physics
Subject Terms: Quantum Physics
Description: The exact path integration for a family of maximally super-integrable systems generalizing the hydrogen atom in the $n$-dimensional Euclidean space is presented. The Green's function is calculated in parabolic rotational and spherical coordinate systems. The energy spectrum and the correctly normalized wave functions of the bound states are obtained from the poles of the Green's function and their residues, respectively.; Comment: 16 pages, no figures
Document Type: Working Paper
Access URL: http://arxiv.org/abs/quant-ph/0303044
Accession Number: edsarx.quant-ph/0303044
Database: arXiv