Coupled N-dimensional harmonic oscillator systems

Authors
Burrows, BL Cohen, M
Citation
Bl. Burrows et M. Cohen, Coupled N-dimensional harmonic oscillator systems, MOLEC PHYS, 98(16), 2000, pp. 1083-1088
Citations number
5
Categorie Soggetti
Physical Chemistry/Chemical Physics
Journal title
MOLECULAR PHYSICS
ISSN journal
00268976 → ACNP
Volume
98
Issue
16
Year of publication
2000
Pages
1083 - 1088
Database
ISI
SICI code
0026-8976(200008)98:16<1083:CNHOS>2.0.ZU;2-W
Abstract
A general decoupling procedure is described for systems of N interacting ha rmonic oscillators coupled by some bilinear perturbing potentials, and expl icit conditions are derived which must be fulfilled in order to obtain phys ical bound states. Illustrative examples include a general treatment of the 2-oscillator system, some particular extensions to systems containing 3 os cillators, and a class of N-oscillator models.