A D Alhaidari 2006 J. Phys. A: Math. Gen. 39 15391 doi:10.1088/0305-4470/39/50/007
A D Alhaidari
Show affiliationsThe super-algebraic structure of a generalized version of the Jaynes–Cummings model is investigated. We find that a Z2 graded extension of the so(2,1) Lie algebra is the underlying symmetry of this model. It is isomorphic to the four-dimensional super-algebra u(1/1) with two odd and two even elements. Differential matrix operators are taken as realization of the elements of the superalgebra to which the model Hamiltonian belongs. Several examples with various choices of superpotentials are presented. The energy spectrum and corresponding wavefunctions are obtained analytically.
Issue 50 (15 December 2006)
Received 3 October 2006, in final form 27 October 2006
Published 30 November 2006
A D Alhaidari 2006 J. Phys. A: Math. Gen. 39 15391
V Grecchi and A Sacchetti 2004 J. Phys. A: Math. Gen. 37 3527
P Jacquod and J -P Amiet 1995 J. Phys. A: Math. Gen. 28 4799
Carol J. Lonsdale et al. 2003 ApJ 592 804
J Grabowski et al 2004 J. Phys. A: Math. Gen. 37 5383
Michel Bauer and Denis Bernard 1999 J. Phys. A: Math. Gen. 32 5179
I D Feranchuk and A A Ivanov 2004 J. Phys. A: Math. Gen. 37 9841
Ann Merchant Boesgaard et al. 2004 ApJ 605 864
Norbert Van den Bergh 2003 Class. Quantum Grav. 20 L165
Zhao Peng-Wei et al 2009 Chinese Phys. Lett. 26 112102