1 citations · 1 across the 2 of their papers we have counts for
5 papers
Frames, Graphs and Erasures
Bernhard G. Bodmann, Vern I. Paulsen
Two-uniform frames and their use for the coding of vectors are the main subject of this paper. These frames are known to be optimal for handling up to two erasures, in the sense th…
A transformation formula relating resolvents of Berezin-Toeplitz operators by an invariance property of Brownian motion
Bernhard G. Bodmann
Using a stochastic representation provided by Wiener-regularized path integrals for the semigroups generated by certain Berezin-Toeplitz operators, a transformation formula for the…
Path Integral Quantization for a Toroidal Phase Space
Bernhard G. Bodmann, John R. Klauder
A Wiener-regularized path integral is presented as an alternative way to formulate Berezin-Toeplitz quantization on a toroidal phase space. Essential to the result is that this qua…
A rigorous path-integral formula for quantum-spin dynamics via planar Brownian motion
Bernhard Bodmann, Hajo Leschke, Simone Warzel
Adapting ideas of Daubechies and Klauder we derive a continuum path-integral formula for the time evolution generated by a spin Hamiltonian. For this purpose we identify the finite…
Wiener Integration for Quantum Systems: A Unified Approach to the Feynman-Kac formula
B. Bodmann, H. Leschke, S. Warzel
A generalized Feynman-Kac formula based on the Wiener measure is presented. Within the setting of a quantum particle in an electromagnetic field it yields the standard Feynman-Kac…