Planar Two-particle Coulomb Interaction: Classical and Quantum Aspects

Details Planar Two-particle Coulomb Interaction: Classical and Quantum Aspects Planar Two-particle Coulomb Interaction: Classical and Quantum Aspects

1997-08-08

arxiv.org/abs/hep-th/9708045v1

Phys.Rev. D57 (1998) 6342-6349

Physics

High Energy Physics

High Energy Physics - Theory

LaTex, Figures on request, e-mail:<guest@bose.ernet.in>

Scientific paper

10.1103/PhysRevD.57.6342

The classical and quantum aspects of planar Coulomb interactions have been studied in detail. In the classical scenario, Action Angle Variables are introduced to handle relativistic corrections, in the scheme of time-independent perturbation theory. Complications arising due to the logarithmic nature of the potential are pointed out. In the quantum case, harmonic oscillator approximations are considered and effects of the perturbations on the excited (oscillator) states have been analysed. In both the above cases, the known 3+1-dimensional analysis is carried through side by side, for a comparison with the 2+1-dimensional (planar) results.

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