Unbiased Estimators for Entropy and Class Number
We introduce unbiased estimators for the Shannon entropy and the class number, in the situation that we are able to take sequences of independent samples of arbitrary length.
math.ST↗
arXiv subjects
T. Schürmann
Publications and source records attributed to T. Schürmann.
Single-slit diffraction and the Heisenberg principle for position and momentum
Monochromatic light is prepared by a single slit of spatial width Δx. The diffraction pattern is considered to obtain the corresponding probability density of the momentum. Let P be the probability weight to measure a momentum in a finite window of width Δp. For small Δp the asymptotic law P ~ ΔxΔp/h is verified, while h is Planck's constant of action.
quant-ph↗