Quantum dynamics of two-dimensional vortex pairs with arbitrary total vorticity

Details Quantum dynamics of two-dimensional vortex pairs with arbitrary total vorticity Quantum dynamics of two-dimensional vortex pairs with arbitrary total vorticity

1999-09-22

arxiv.org/abs/cond-mat/9909320v1

Phys. Rev. B 59, 7127, (1999)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

15 pages

Scientific paper

10.1103/PhysRevB.59.7127

Quantum dynamics of a vortex pair is investigated by considering the pair Hamiltonian within various, unequivalent algebraic frameworks. First the vortex pair spectrum is constructed in the standard contest of the e(2)-like dynamical symmetry and its degeneracy is thoroughly examined. Then the Berry phase phenomenon is studied through an su(1,1) realization of the pair Hamiltonian when its parameters are assumed to be time-dependent, whereas the Feynman- Onsager quantization conditions are recovered by means of symmetry arguments within a third approach based on a magneticlike description of the vortex pair. Finally, it is shown how recasting the dynamical algebra in terms of two-particle realization of both su(2) and su(1,1) provides the correct approach for the quantization of the model Hamiltonian accounting for the pair scattering from a disklike obstacle.

Affiliated with

Also associated with

No associations

Rating

Quantum dynamics of two-dimensional vortex pairs with arbitrary total vorticity 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 Quantum dynamics of two-dimensional vortex pairs with arbitrary total vorticity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum dynamics of two-dimensional vortex pairs with arbitrary total vorticity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-153183