Two- and Many-Dimensional Quasi-Exactly Solvable Models With An Inhomogeneous Magnetic Field

Details Two- and Many-Dimensional Quasi-Exactly Solvable Models With An Inhomogeneous Magnetic Field Two- and Many-Dimensional Quasi-Exactly Solvable Models With An Inhomogeneous Magnetic Field

1998-12-29

arxiv.org/abs/solv-int/9812031v1

`Group22: Proceedings of the XXII International Colloquium on Group Theoretical Methods in Physics', Eds S P Corney, R Delbour

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, ReVTeX. Talk given at the 22nd International Colloqium for Group Theoretical Methods in Physics

Scientific paper

Let group generators having finite-dimensional representation be realized as Hermitian linear differential operators without nhomogeneous terms as takes place, for example, for the SO(n) group. Then orresponding group Hamiltonians containing terms linear in generators (along with quadratic ones) give rise to quasi-exactly solvable models with a magnetic field in a curved space. In particular, in the two-dimensional case such models are generated by quantum tops. In the three-dimensional one for the SO(4) Hamiltonian with an isotropic quadratic part the manifold within which a quantum particle moves has the geometry of the Einstein universe.

Affiliated with

Also associated with

No associations

Rating

Two- and Many-Dimensional Quasi-Exactly Solvable Models With An Inhomogeneous Magnetic Field 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 Two- and Many-Dimensional Quasi-Exactly Solvable Models With An Inhomogeneous Magnetic Field, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Two- and Many-Dimensional Quasi-Exactly Solvable Models With An Inhomogeneous Magnetic Field will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-407420