Exact Solution of Dirac Equation with Charged Harmonic Oscillator in Electric Field: Bound States

Abstract

In some quantum chemical applications, the potential models are linear combination of single exactly solvable potentials. This is the case equivalent of the Stark effect for a charged harmonic oscillator (HO) in a uniform electric field of specific strength (HO in an external dipole field). We obtain the exact s-wave solutions of the Dirac equation for some potential models which are linear combination of single exactly solvable potentials (ESPs). In the framework of the spin and pseudospin symmetric concept, we calculate the analytic energy spectrum and the corresponding two-component upper- and lower-spinors of the two Dirac particles by the Nikiforov-Uvarov (NU) method, in a closed form. The nonrelativistic limit of the solution is also studied and compared with the other works.

13 pages, 2 figures

References in corpus (4)

• Relating pseudospin and spin symmetries through charge conjugation and chiral transformations: the case of the relativistic harmonic oscillator
• An improved approximation scheme for the centrifugal term and the Hulthen potential
• Exact Klein-Gordon equation with spatially-dependent masses for unequal scalar-vector Coulomb-like potentials
• Approximate analytic solutions of the diatomic molecules in the Schrodinger equation with hyperbolical potentials

Cited by in corpus (2)

• Effects of external fields on two-dimensional Klein-Gordon particle under pseudoharmonic oscillator interaction
• Quantum Pseudodots Under the External Vector and Scalar Fields