Factorization method on time scales

Abstract

We present an approach to the factorization method for second order difference equations on time scales. We construct Hilbert spaces of functions on the time scale and show how to construct a chain of intertwined first order $\Delta$-difference operators ${\mathcal{A}}_k$ in the sense that ${\mathcal{A}}_k$ and ${\mathcal{A}}_k^{\ast }$ act as ladder operators generating new solutions of eigenproblem of ${\mathcal{A}}_k{\mathcal{A}}_k^{\ast }$.

10 pages

References in corpus (1)

• Factorization method for difference equations of hypergeometric type on nonuniform lattices

Cited by in corpus (1)

• Valley-dependent time evolution of coherent electron states in tilted anisotropic Dirac materials