Meromorphic Solutions to a Differential--Difference Equation Describing Certain Self-Similar Potentials

Abstract

In this paper we prove the existence of meromorphic solutions to a nonlinear differential difference equation that describe certain self-similar potentials for the Schroedinger operator.

10 pages, LaTeX, uses additional packages

References in corpus (3)

• Exactly Solvable Potentials and Quantum Algebras
• Self-Similar Potentials and the q-Oscillator Algebra at Roots of Unity
• Symmetries of the Self-Similar Potentials

Cited by in corpus (1)

• Self-similar potentials in quantum mechanics and coherent states