Rényi entropies of the highly-excited states of multidimensional harmonic oscillators by use of strong Laguerre asymptotics

A. I. Aptekarev, D. N. Tulyakov, I. V. Toranzo +1

The Rényi entropies $R_p[\rho ]$, $p>0,\ne 1$ of the highly-excited quantum states of the $D$-dimensional isotropic harmonic oscillator are analytically determined by use of the str…