Quadratic algebras and position-dependent mass Schrödinger equations

Details Quadratic algebras and position-dependent mass Schrödinger equations Quadratic algebras and position-dependent mass Schrödinger equations

2007-12-12

arxiv.org/abs/0712.1971v1

Physics

Mathematical Physics

6 pages, no figure, communication at the 5th Int. Symp. on Quantum Theory and Symmetries (QTS5), Valladolid, Spain, July 22-28

Scientific paper

During recent years, exact solutions of position-dependent mass Schr\"odinger equations have inspired intense research activities, based on the use of point canonical transformations, Lie algebraic methods or supersymmetric quantum mechanical techniques. Here we highlight the interest of another approach to such problems, relying on quadratic algebras. We illustrate this point by constructing spectrum generating algebras for a class of $d$-dimensional radial harmonic oscillators with $d\ge2$ (including the one-dimensional oscillator on the line via some minor changes) and a specific mass choice. This provides us with a counterpart of the well-known su(1,1) Lie algebraic approach to the constant-mass oscillators.

Affiliated with

Also associated with

No associations

Rating

Quadratic algebras and position-dependent mass Schrödinger equations 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 Quadratic algebras and position-dependent mass Schrödinger equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quadratic algebras and position-dependent mass Schrödinger equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-661687