Stochastic Quantum Mechanics And Quantum Spacetime

  title={Stochastic Quantum Mechanics And Quantum Spacetime},
  author={Eduard Prugovec̆ki},


relation properties complex in a France The dressing field method of gauge symmetry reduction: presentation and examples This talk is a presentation of a recent method of gauge symmetry reduction,

Geometro-stochastically quantized fields with internal spin variables

The use of internal variables for the description of relativistic particles with arbitrary mass and spin in terms of scalar functions is reviewed and applied to the stochastic phase space formulation

On quantum and parallel transport in a Hilbert bundle over spacetime

We study the Hilbert bundle description of stochastic quantum mechanics in curved spacetime developed by Prugovecki, which gives a powerful new framework for exploring the quantum mechanical

Ju l 2 01 3 Uniform continuity of POVMs

Recently a characterization of uniformly continuous POVMs and a necessary condition for a uniformly continuous POVM F to have the norm-1 property have been provided. Moreover it was proved that in

Probability in the formalism of quantum mechanics on phase space

The methods of Born and Einstein are used to obtain the probability density in the formalism of quantum mechanics on phase space. The resulting probability leads to a contextual measurement scheme.

Semispectral Measures and Feller markov Kernels

We give a characterization of commutative semispectral measures by means of Feller and Strong Feller Markov kernels. In particular: {itemize} we show that a semispectral measure $F$ is commutative

Classical Representations of Quantum Mechanics Related to Statistically Complete Observables

We present a reformulation of quantum mechanics in terms of probability measures and functions on a general classical sample space and in particular in terms of probability densities and functions on