A N F Aleixo and A B Balantekin 2007 J. Phys. A: Math. Theor. 40 3463 doi:10.1088/1751-8113/40/13/012
A N F Aleixo1 and A B Balantekin2
Show affiliationsGeneralized coherent states for primary shape invariant potential systems quantum deformed by different models are constructed using an algebraic approach based on supersymmetric quantum mechanics. We show that this generalized formalism is able (a) to supply the essential requirements necessary to establish a connection between classical and quantum formulations of a given system, (b) to reproduce, as particular cases, results already known for shape-invariant systems (such as standard harmonic oscillator and Pöschl–Teller potentials as well as quantum deformed harmonic oscillator models) and (c) point to a formalism that provides a unified description of the different kind of coherent states for quantum systems, deformed or not deformed.
81Q60 Supersymmetric quantum mechanics
81R30 Coherent states (See also 22E45); squeezed states (See also 81V80)
Issue 13 (30 March 2007)
Received 13 November 2006, in final form 24 January 2007
Published 14 March 2007
A N F Aleixo and A B Balantekin 2007 J. Phys. A: Math. Theor. 40 3463
A B Balantekin and Y Pehlivan 2007 J. Phys. G: Nucl. Part. Phys. 34 47
A B Balantekin and Y Pehlivan 2007 J. Phys. G: Nucl. Part. Phys. 34 1783
Andreas Källberg et al 2006 Class. Quantum Grav. 23 L7
Gilad Gour and A J M Medved 2003 Class. Quantum Grav. 20 1661
David A Williams 2005 J. Phys.: Conf. Ser. 6 1
Maria Elisabetta Palumbo 2005 J. Phys.: Conf. Ser. 6 211
S Cazaux et al 2005 J. Phys.: Conf. Ser. 6 155
Giuliano Malloci et al 2005 J. Phys.: Conf. Ser. 6 178
Aigen Li 2005 J. Phys.: Conf. Ser. 6 229