Gao-Feng Wei et al 2007 Phys. Scr. 76 442 doi:10.1088/0031-8949/76/5/006
Gao-Feng Wei1,2, Chao-Yun Long1,2, Zhi He1,2, Shui-Jie Qin1 and Jing Zhao1,2
Show affiliationsIt is shown that the Dirac equation for a new equal scalar and vector anharmonic oscillator potentials could be separated into a solvable angular equation and a radial equation. Corresponding exact solutions of bound states for the Dirac equation have been obtained. The angular solutions are the associated-Legendre polynomial and the radial solutions are expressed in terms of the confluent hypergeometric functions. Finally, the energy equation is found from the boundary condition satisfied by the radial wavefunction.
03.65.Ge Solutions of wave equations: bound states
Issue 5 (November 2007)
Received 29 January 2007, accepted for publication 29 August 2007
Published 21 September 2007
Gao-Feng Wei et al 2007 Phys. Scr. 76 442
Masataka Oko et al 2009 J. Phys.: Conf. Ser. 190 012016
Yoshimasa Nonaka 1996 Fluid Dyn. Res. 17 329
Wu Wei-Dong et al 2008 Chinese Phys. Lett. 25 1465
N Abd el All et al 2009 J. Phys.: Conf. Ser. 190 012066
He Kai-Fen and Zhang Hai-Yun 2001 Chinese Phys. Lett. 18 178
Xinshu Xiao et al 2005 Physiol. Meas. 26 R41
Zhifa Pu et al 2006 Nanotechnology 17 799
Somnath Bharadwaj and Biswajit Pandey 2004 ApJ 615 1
Sebastian Guttenberg et al JHEP06(2004)030