21 citations · 34 across the 5 of their papers we have counts for
4 papers · 1 filter
Is the Universe a Quantum System?
Helmut Fink, Hajo Leschke
In order to relate the probabilistic predictions of quantum theory uniquely to measurement results, one has to conceive of an ensemble of identically prepared copies of the quantum…
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…
Rigorous results on Schroedinger operators with certain Gaussian random potentials in multi-dimensional continuous space
Werner Fischer, Thomas Hupfer, Hajo Leschke +1
Schroedinger operators with certain Gaussian random potentials in multi-dimensional Euclidean space possess almost surely an absolutely continuous integrated density of states and…
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…