Artur Ishkhanyan and Kalle-Antti Suominen 2003 J. Phys. A: Math. Gen. 36 7331 doi:10.1088/0305-4470/36/26/308
Artur Ishkhanyan1 and Kalle-Antti Suominen2,3
Show affiliationsThe problem of analytical integrability of the three-level problem by reduction of the time-dependent Schrödinger equations to the third-order linear differential equation satisfied by the generalized hypergeometric functions 3F2 is considered. A total of 12 infinite classes of models solvable in terms of these functions is found, most of which are new and others are generalizations of the previously known families.
02.40.-k Geometry, differential geometry, and topology
Issue 26 (4 July 2003)
Received 26 March 2003, in final form 13 May 2003
Published 18 June 2003
Artur Ishkhanyan and Kalle-Antti Suominen 2003 J. Phys. A: Math. Gen. 36 7331
John J Quinn and Arkadiusz Wójs 2000 J. Phys.: Condens. Matter 12 R265
Devendra Kumar et al 2009 J. Phys.: Condens. Matter 21 485402
Levon Tamaryan et al 2009 J. Phys. A: Math. Theor. 42 475303
Karun Thanjavur et al. 2009 ApJ 706 571
Zhang Ning et al 2009 Chinese Phys. Lett. 26 110501
A de Bernabé et al 1999 J. Phys.: Condens. Matter 11 L323
U. Kraus 2001 ApJ 563 289
Stephen Bosi et al 2007 Phys. Med. Biol. 52 2893
Z. G. Dai and X. F. Wu 2003 ApJ 591 L21