Bound state energies and phase shifts of a non-commutative well

Details Bound state energies and phase shifts of a non-commutative well Bound state energies and phase shifts of a non-commutative well

2010-12-03

arxiv.org/abs/1012.0699v1

J. Phys. A: Math. Theor. (42) 445301 (2009)

Physics

Quantum Physics

12 pages, 8 figures

Scientific paper

10.1088/1751-8113/42/44/445301

Non-commutative quantum mechanics can be viewed as a quantum system represented in the space of Hilbert-Schmidt operators acting on non-commutative configuration space. Within this framework an unambiguous definition can be given for the non-commutative well. Using this approach we compute the bound state energies, phase shifts and scattering cross sections of the non- commutative well. As expected the results are very close to the commutative results when the well is large or the non-commutative parameter is small. However, the convergence is not uniform and phase shifts at certain energies exhibit a much stronger then expected dependence on the non-commutative parameter even at small values.

Affiliated with

Also associated with

No associations

Rating

Bound state energies and phase shifts of a non-commutative well 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 Bound state energies and phase shifts of a non-commutative well, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bound state energies and phase shifts of a non-commutative well will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-514778