Representations of the Schrödinger group and matrix orthogonal polynomials

Details Representations of the Schrödinger group and matrix orthogonal polynomials Representations of the Schrödinger group and matrix orthogonal polynomials

2011-05-03

arxiv.org/abs/1105.0701v1

Physics

Mathematical Physics

33 pages

Scientific paper

The representations of the Schr\"odinger group in one space dimension are explicitly constructed in the basis of the harmonic oscillator states. These representations are seen to involve matrix orthogonal polynomials in a discrete variable that have Charlier and Meixner polynomials as building blocks. The underlying Lie-theoretic framework allows for a systematic derivation of the structural formulas (recurrence relations, difference equations, Rodrigues' formula etc.) that these matrix orthogonal polynomials satisfy.

Affiliated with

Also associated with

No associations

Rating

Representations of the Schrödinger group and matrix orthogonal polynomials 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 Representations of the Schrödinger group and matrix orthogonal polynomials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Representations of the Schrödinger group and matrix orthogonal polynomials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-688361