Report

PUBDB-2023-05661

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Quantum motion on the three-dimensional sphere: The Ellipsocylindrical bases

Grosche, C. ; Karaian, K. G. ; Pogosian, G. S. ; Sisakian, A. N.

1995

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Please use a persistent id in citations: doi:10.3204/PUBDB-2023-05661

Report No.: DESY-95-218

Abstract: We study the free quantum motion on the three-dimensional sphere in ellipso-cylindrical coordinates, where we distinguish between prolate elliptic and oblate elliptic coordinates. The oblate and prolate elliptic wavefunctions are constructed in terms of the hyper-spherical and cylindrical wavefunctions. A perturbation theory for the elliptic wavefunctions in powers of the elliptic parameter is established. Finally, the interbasis expansions are used to set up path integral identities for the two ellipso-cylindrical coordinate systems on .

Keyword(s): quantum mechanics ; space-time: S(3) ; wave function ; perturbation theory ; path integral

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Contributing Institute(s):

1. DESY Retrocat (DESY(-2012))

Research Program(s):

1. 899 - ohne Topic (POF4-899) (POF4-899)

Experiment(s):

1. No specific instrument

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article Grosche, C. ; Karaian, K. G. ; Pogosian, G. S. ; Sisakian, A. N.
Quantum motion on the three-dimensional sphere: The Ellipsocylindrical bases
Journal of physics / A 30(5), 1629 - 1657 (1997) [10.1088/0305-4470/30/5/025]1997     Files BibTeX | EndNote: XML, Text | RIS

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