A generating function for Hermite polynomials in connection with Euclidean Landau levels

Abstract

We have formulated a generating function for the Hermite polynomials by comparing two expressions of the same coherent states attached to planar Landau levels. A first expression is obtained by generalizing the canonical coherent states when written as series expansion in the basis of number states. While the second expression is established by following a construction based on group representation theory.

11 pages, submitted

References in corpus (2)

• Quasi-classical versus non-classical spectral asymptotics for magnetic Schroedinger operators with decreasing electric potentials
• Coherent states associated to the wavefunctions and the spectrum of the isotonic oscillator

Cited by in corpus (1)

• A Generalized Euler Probability Distribution