Radial Coulomb and Oscillator Systems in Arbitrary Dimensions

Details Radial Coulomb and Oscillator Systems in Arbitrary Dimensions Radial Coulomb and Oscillator Systems in Arbitrary Dimensions

1996-02-10

arxiv.org/abs/quant-ph/9602007v1

J.Math.Phys.37:2166-2181,1996

Physics

Quantum Physics

accepted for publication in J. Math. Phys

Scientific paper

10.1063/1.531504

A mapping is obtained relating analytical radial Coulomb systems in any dimension greater than one to analytical radial oscillators in any dimension. This mapping, involving supersymmetry-based quantum-defect theory, is possible for dimensions unavailable to conventional mappings. Among the special cases is an injection from bound states of the three-dimensional radial Coulomb system into a three-dimensional radial isotropic oscillator where one of the two systems has an analytical quantum defect. The issue of mapping the continuum states is briefly considered.

Affiliated with

Also associated with

No associations

Rating

Radial Coulomb and Oscillator Systems in Arbitrary Dimensions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Radial Coulomb and Oscillator Systems in Arbitrary Dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Radial Coulomb and Oscillator Systems in Arbitrary Dimensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-575716