Quantum Super-Integrable Systems as Exactly Solvable Models

Details Quantum Super-Integrable Systems as Exactly Solvable Models Quantum Super-Integrable Systems as Exactly Solvable Models

2007-02-14

arxiv.org/abs/math-ph/0702048v1

SIGMA 3 (2007), 025, 10 pages

Physics

Mathematical Physics

This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Sym

Scientific paper

10.3842/SIGMA.2007.025

We consider some examples of quantum super-integrable systems and the associated nonlinear extensions of Lie algebras. The intimate relationship between super-integrability and exact solvability is illustrated. Eigenfunctions are constructed through the action of the commuting operators. Finite dimensional representations of the quadratic algebras are thus constructed in a way analogous to that of the highest weight representations of Lie algebras.

Affiliated with

Also associated with

No associations

Rating

Quantum Super-Integrable Systems as Exactly Solvable Models 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 Super-Integrable Systems as Exactly Solvable Models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum Super-Integrable Systems as Exactly Solvable Models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-210031