Factorization procedure and new generalized Hermite functions

Details Factorization procedure and new generalized Hermite functions Factorization procedure and new generalized Hermite functions

2010-02-06

arxiv.org/abs/1002.1344v1

Physics

Mathematical Physics

Scientific paper

We propose an alternative factorization for the simple harmonic oscillator hamiltonian which includes Mielnik's isospectral factorization as a particular case. This factorization is realized in two non-mutually adjoint operators whose inverse product, in the simplest case, lead to a new Sturm-Liouville eigenvalue equation which includes Schrodinger's equation for the oscillator and Hermite's equation as particular cases for limiting values of the factorization's parameter, and whose eigenfunctions allow us to define new generalized Hermite functions.

Affiliated with

Also associated with

No associations

Rating

Factorization procedure and new generalized Hermite functions 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 Factorization procedure and new generalized Hermite functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Factorization procedure and new generalized Hermite functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-636131