Arbitrary-order parasupersymmetric coherent states of quantum harmonic oscillator

Authors
Fakhri, H Bahadori, ME
Citation
H. Fakhri et Me. Bahadori, Arbitrary-order parasupersymmetric coherent states of quantum harmonic oscillator, J PHYS A, 33(40), 2000, pp. 7143-7148
Citations number
15
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
33
Issue
40
Year of publication
2000
Pages
7143 - 7148
Database
ISI
SICI code
0305-4470(20001013)33:40<7143:APCSOQ>2.0.ZU;2-N
Abstract
The eigenstates of arbitrary-order parasupersymmetric Hamiltonian p corresp onding to a particle with spin p/2 in the presence of a harmonic oscillator potential and constant magnetic held directed along the z-axis are constru cted in terms of eigenstates of a one-dimensional harmonic oscillator. Also , parasupersymmetric coherent states with degenerate multiplicity of an ad hoc bosonic annihilation operator of parasupersymmetric eigenstates of the Hamiltonian mentioned above are calculated.