Orthogonal Polynomials and Generalized Oscillator Algebras

Details Orthogonal Polynomials and Generalized Oscillator Algebras Orthogonal Polynomials and Generalized Oscillator Algebras

2000-02-26

arxiv.org/abs/math/0002226v1

Mathematics

Classical Analysis and ODEs

23 pages, no figures, submitted to Integral Transforms and Special Functions

Scientific paper

For any orthogonal polynomials system on real line we construct an appropriate oscillator algebra such that the polynomials make up the eigenfunctions system of the oscillator hamiltonian. The general scheme is divided into two types: a symmetric scheme and a non-symmetric scheme. The general approach is illustrated by the examples of the classical orthogonal polynomials: Hermite, Jacobi and Laguerre polynomials. For these polynomials we obtain the explicit form of the hamiltonians, the energy levels and the explicit form of the impulse operators.

Affiliated with

Also associated with

No associations

Rating

Orthogonal Polynomials and Generalized Oscillator Algebras 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 Orthogonal Polynomials and Generalized Oscillator Algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Orthogonal Polynomials and Generalized Oscillator Algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-145025