Non-Hermitian oscillator-like Hamiltonians and lambda-coherent states revisited

Authors
Beckers, J Debergh, N Carinena, JF Marmo, G
Citation
J. Beckers et al., Non-Hermitian oscillator-like Hamiltonians and lambda-coherent states revisited, MOD PHY L A, 16(2), 2001, pp. 91-98
Citations number
15
Categorie Soggetti
Physics
Journal title
MODERN PHYSICS LETTERS A
ISSN journal
02177323 → ACNP
Volume
16
Issue
2
Year of publication
2001
Pages
91 - 98
Database
ISI
SICI code
0217-7323(20010120)16:2<91:NOHALS>2.0.ZU;2-6
Abstract
Previous X-deformed non-Hermitian Hamiltonians with respect to the usual sc alar product of Hilbert spaces dealing with harmonic oscillator-like develo pments are (re)considered with respect to a new scalar product in order to take into account their property of self-adjointness. The corresponding def ormed X-states lead to new families of coherent states according to the DOG S, AOCS and MUGS points of view.