Systems of orthogonal polynomials defined by hypergeometric type equations with application to quantum mechanics

Details Systems of orthogonal polynomials defined by hypergeometric type equations with application to quantum mechanics Systems of orthogonal polynomials defined by hypergeometric type equations with application to quantum mechanics

2006-02-14

arxiv.org/abs/math-ph/0602037v1

Central European Journal of Physics 2 (2004) 456-466

Physics

Mathematical Physics

Additional results available at http://fpcm5.fizica.unibuc.ro/~ncotfas

Scientific paper

A hypergeometric type equation satisfying certain conditions defines either a finite or an infinite system of orthogonal polynomials. We present in a unified and explicit way all these systems of orthogonal polynomials, the associated special functions and the corresponding raising/lowering operators. The considered equations are directly related to some Schrodinger type equations (Poschl-Teller, Scarf, Morse, etc), and the defined special functions are related to the corresponding bound-state eigenfunctions.

Affiliated with

Also associated with

No associations

Rating

Systems of orthogonal polynomials defined by hypergeometric type equations with application to quantum mechanics 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 Systems of orthogonal polynomials defined by hypergeometric type equations with application to quantum mechanics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Systems of orthogonal polynomials defined by hypergeometric type equations with application to quantum mechanics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-568394