A Free Particle on a Circle with Point Interaction

Details A Free Particle on a Circle with Point Interaction A Free Particle on a Circle with Point Interaction

1999-10-14

arxiv.org/abs/quant-ph/9910062v1

Physics

Quantum Physics

Plain TeX, 14 pages

Scientific paper

The quantum dynamics of a free particle on a circle with point interaction is described by a U(2) family of self-adjoint Hamiltonians. We provide a classification of the family by introducing a number of subfamilies and thereby analyze the spectral structure in detail. We find that the spectrum depends on a subset of U(2) parameters rather than the entire U(2) needed for the Hamiltonians, and that in particular there exists a subfamily in U(2) where the spectrum becomes parameter-independent. We also show that, in some specific cases, the WKB semiclassical approximation becomes exact (modulo phases) for the system.

Affiliated with

Also associated with

No associations

Rating

A Free Particle on a Circle with Point Interaction 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 A Free Particle on a Circle with Point Interaction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Free Particle on a Circle with Point Interaction will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-106027