Coulomb-Oscillator Duality and Scattering Problem in 5-Dimensional Coulomb Field

Details Coulomb-Oscillator Duality and Scattering Problem in 5-Dimensional Coulomb Field Coulomb-Oscillator Duality and Scattering Problem in 5-Dimensional Coulomb Field

2003-08-19

arxiv.org/abs/quant-ph/0308097v1

Physics

Quantum Physics

6 pages

Scientific paper

It is shown that the Hurwitz transformation connects the eight-dimensional
repulsive oscillator problem with the five-dimensional Coulomb problem for
continuous spectrum. The hyperspherical and parabolic bases for this system are
calculated. The quantum mechanical scattering problem of charged particles in
the 5-dimensional Coulomb field is solved.

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