Self-similar potentials in quantum mechanics and coherent states

Abstract

A brief description of the relations between the factorization method in quantum mechanics, self-similar potentials, integrable systems and the theory of special functions is given. New coherent states of the harmonic oscillator related to the Fourier transformation are constructed.

29 pages

References in corpus (3)

• Essays on the theory of elliptic hypergeometric functions
• A Critical Phenomenon in Solitonic Ising Chains
• Superconformal indices, Seiberg dualities and special functions

Cited by in corpus (1)

• Superpositions of coherent states determined by Gauss sums