Asymptotics of $L_p$-norms of Hermite polynomials and Rényi entropy of Rydberg oscillator states

Alexander I. Aptekarev, Jesús S. Dehesa, Pablo Sánchez-Moreno +1

The asymptotics of the weighted $L_p$-norms of Hermite polynomials, which describes the Rényi entropy of order $p$ of the associated quantum oscillator probability density, is de…