Skip to main content
profile image
Faculty Works of Ruben Hayrapetyan
Article
Quantum motion on the three-dimensional sphere. Ellipsoidal basis
Communications of Joint Institute for Nuclear Research (1996)
  • Ruben G. Hayrapetyan, Kettering University
  • Kh. H. Karayan
  • G. S. Pogosyan
  • A. N. Sissakyan
  • D. I. Zaslavsky
Link Find in your library
Abstract
The generalized Lame's equation is derived as expansion around one of the singularities of the equation and the coefficients of this expansion are shown to obey the four-term recurrence relations. The problem of quantization of ellipsoidal separation constants is solved and the ellipsoidal basis is constructed for the Helmholtz equation or the Schroedinger equation for free motion on the three-dimensional sphere.
Disciplines
Publication Date
January 1, 1996
Publisher Statement
International Nuclear Information System (INIS)
Citation Information
Ruben G. Hayrapetyan, Kh. H. Karayan, G. S. Pogosyan, A. N. Sissakyan, et al.. "Quantum motion on the three-dimensional sphere. Ellipsoidal basis" Communications of Joint Institute for Nuclear Research Vol. 28 Iss. 1 (1996) p. 1 - 12 ISSN: 1819-9186
Available at: http://works.bepress.com/ruben-hayrapetyan/48/