Probing the structure of quantum mechanics : new probability models for new experiments on quantum particles.

Project Details

Description

This project is centered on an intensive collaboration between theoreticians working on the structures of quantum mechanics and experimentators.A) Radiation emitted bv a delocalised single atom : Theoreticians will collaborate in order to understand the phenomenon of light radiation by a single delocalised atom. Although experimental data are already available, their complete theoretical description is not achieved yet. More concretely, the experiment was realised by J. Robert who is a partner in a four years long NFWO project introduced by D. Aerts (Brussels), on which T. Durt will work full time from 1997 to 2000. M. Czachor obtained already fundamental results on this phenomenon, in the formalism of quantum electrodynamics and we want to compare these results with the results obtained in the Brussels-Paris collaboration.B) Non-linear quantum mechanics and new experimental proposals : The group of Brussels proposes two new experiments to realise in order to test a hidden variable model. the epsilon model, that was developed in Brussels. One of these experiments (the second one, which involves the measurement of temporal correlations) will be realised in the laboratory of the Antwerp-group (E. Goovaerts) with photons as test particles.The interaction with the local theoretical group (J. Naudts) and the expertise of M. Zukowski in quantum optics will be of great value for the realisation of the experiment and the interpretation of the statistical data. It is planned to use the results of M. Czachor in order to improve the theoretical background of the first proposed experiment, which combines non-linear quantum dynamics and non-locality.C) New models of probability calculus : The problem of the (non) classical nature of the quantum probability has been the object of intensive research in our group of Brussels. M. Czachor published an article where he discusses in detail the implications of the Aerts model [MC11], while J. Pykacz [P1-P6] investigated a generalization of classical probability towards non-standard structures (fuzzy sets, non-Boolean probability ). We applied to our model the framework of Pykacz on fuzzy quantum logics in an article of 1992 (Liptowsky, Aerts, Durt. Van Bogaert [B4]). In this project we want to elaborate the already obtained results of both the Brussels and the Gdansk team, and construct probability models for more complicated physical laboratory situations.
AcronymVLW12
StatusFinished
Effective start/end date20/12/9619/06/00

Keywords

  • delocalised single atom
  • probability models
  • non-linear quantum machanics

Flemish discipline codes

  • Mathematical sciences
  • Scientific Stay

    Bart D'Hooghe (Member)
    25 Jan 19981 Feb 1998

    Activity: OtherResearch and Teaching at External Organisation