Exact solutions of two coupled harmonic oscillators related to the Sp(4, R) Lie algebra

Authors
Pan, F Dai, LR
Citation
F. Pan et Lr. Dai, Exact solutions of two coupled harmonic oscillators related to the Sp(4, R) Lie algebra, COMM TH PHY, 35(6), 2001, pp. 661-664
Citations number
8
Categorie Soggetti
Physics
Journal title
COMMUNICATIONS IN THEORETICAL PHYSICS
ISSN journal
02536102 → ACNP
Volume
35
Issue
6
Year of publication
2001
Pages
661 - 664
Database
ISI
SICI code
0253-6102(20010615)35:6<661:ESOTCH>2.0.ZU;2-1
Abstract
Exact solutions of the eigenvalue problem of two coupled harmonic oscillato rs related to the Sp(4, R) Lie algebra are derived by using an algebraic me thod. It is found that the energy spectrum of the system is determined by o ne-boson excitation energies built on a vector coherent state of Sp(4, R) s uperset of U(2).