https://doi.org/10.1140/epjd/e2007-00053-5
The quantum mechanical two-Coulomb-centre problem in the Dirac equation framework in 2+1 dimensions
Department of Theoretical Physics, Uzhgorod National University, Voloshina Street 54, Uzhgorod, 88000, Ukraine
Corresponding author: a igor_shvab@yahoo.com
Received:
16
August
2006
Revised:
18
October
2006
Published online:
9
March
2007
With the help of perturbation theory the asymptotic expansions (at small and large internuclear distances R) of the eigenvalues (potential curves) E(R) of the two-Coulomb-centre problem in 2+1 dimensions are obtained. We compare the results obtained with the data from similar approximation for two-Coulomb-centre problem in 3+1 dimensions.
PACS: 31.15.Md – Perturbation theory / 31.30.Jv – Relativistic and quantum electrodynamic effects in atoms and molecules / 34.50.-s – Scattering of atoms and molecules
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2007