42 citations · 75 across the 6 of their papers we have counts for
6 papers
On the experimental verification of the uncertainty principle of position and momentum
Thomas Schürmann, Ingo Hoffmann, Winfrid Görlich
Historically, Kennard was the first to choose the standard deviation as a quantitative measure of uncertainty, and neither he nor Heisenberg explicitly explained why this choice sh…
On Biased Correlation Estimation
Thomas Schürmann, Ingo Hoffmann
In general, underestimation of risk is something which should be avoided as far as possible. Especially in financial asset management, equity risk is typically characterized by the…
Single-slit diffraction and the Heisenberg principle for position and momentum
W. Görlich, I. Hoffmann, T. Schürmann
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 b…
A closer look at the uncertainty relation of position and momentum
Thomas Schürmann, Ingo Hoffmann
We consider particles prepared by the von Neumann-Lüders projection. For those particles the standard deviation of the momentum is discussed. We show that infinite standard deviati…
The entropy of 'strange' billiards inside n-simplexes
Thomas Schürmann, Ingo Hoffmann
In the present work we investigate a new type of billiards defined inside n-simplex regions. We determine an invariant ergodic (SRB) measure of the dynamics for any dimension. In u…
The entropy of ``strange'' billiards inside n-simplexes
Thomas Schürmann, Ingo Hoffmann
In the present work we investigate a new type of billiards defined inside of --simplex regions. We determine an invariant ergodic (SRB) measure of the dynamics for any dimension…