A NOTE ON QUANTUM BOHLIN TRANSFORMATION

Authors
NERSESSIAN A TERANTONYAN V TSULAIA M
Citation
A. Nersessian et al., A NOTE ON QUANTUM BOHLIN TRANSFORMATION, Modern physics letters A, 11(19), 1996, pp. 1605-1610
Citations number
6
Categorie Soggetti
Physics, Nuclear","Physics, Particles & Fields","Physycs, Mathematical
Journal title
Modern physics letters A → ACNP
ISSN journal
02177323
Volume
11
Issue
19
Year of publication
1996
Pages
1605 - 1610
Database
ISI
SICI code
0217-7323(1996)11:19<1605:ANOQBT>2.0.ZU;2-T
Abstract
is shown that the reduction of the circular quantum oscillator by the Z(2) group action results in the two systems: a two-dimensional hydrog en atom, and a ''charge-charged magnetic vortex'' one, with spin-1/2. Analogously, the Z(N) reduction of the two-dimensional system with the central potential r(2(N-1)) results into N bound ''charge-magneticver tex'' systems with the interaction potential r(2(1/N-1)) and spins sig ma = k/N, K = 0,1,...,N - 1.