Collapse of the wave packet without mixture

Letters in Mathematical Physics September 1981, Volume 5, Issue 5, pp 379–385 | Cite as Collapse of the wave packet without mixture AuthorsAuthors and affiliations N. GisinC. Piron Article 55 Downloads 9 Citations Abstract An explicit model of the quantum measurement process with determinstic dissipative dynamics is presented. The usual results of quantum mechanics are recovered, in complete compatibility with the realistic interpretation. The model exhibits the famous reduction of the wave packet and the occurrence of probability is explained as being due to a random correlation variable whose value is fixed at the very beginning of each of the individual processes. The way that the experimentalist observes the result has no effect on the final state of the system and, consequently, paradoxes like Schrödinger's cat or Wigner's friend are avoided. KeywordsStatistical Physic Quantum Mechanic Group Theory Wave Packet Measurement Process  These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves. Partially supported by the Swiss National Science Foundation. This is a preview of subscription content, log in to check access. Preview Unable to display preview. Download preview PDF. Unable to display preview. Download preview PDF. References 1. Piron, C.,Foundation of Quantum Physics, Benjamin, Reading Mass., 1976.Google Scholar 2. Piron, C., ‘New Quantum Mechanics’, to be published inEssays in Honor of Wolfgang Yourgran Plenum Press, N.Y.Google Scholar 3. Einstein, A., Podolsky, B., and Rosen, N.,Phys. Rev. 47, 777 (1935).Google Scholar 4. Pauli, W.,Die Allgemeinen Prinzipien der Wellenmechanik, Handbuch der Physik, Vol. V, Part I, Springer-Verlag, Berlin, 1958, p. 73.Google Scholar 5. Gisin, N., ‘A Simple Nonlinear Dissipative Quantum Evolution Equation, UGVA-DPT 1979/11-224.Google Scholar 6. Messer, J.,Phys. Austriaca 50, 75 (1979). Hasse, R.W.,J. Math. Phys. 16, 2005 (1975).Google Scholar 7. Gisin, N., ‘Spin Relaxation and Dissipative Schrödinger-like Evolution Equations, UGVA-DPT 1980/07-256.Google Scholar 8. Aerts, D., ‘The One and the Many’, Thèse de doctorat, Université Libre de Bruxelles, 1981.Google Scholar 9. Schrödinger, E.,Naturwiss.23, 807 (1935).Google Scholar 10. Wigner, E.P., ‘Remarks on the Mind-body Problem’, T.J. Good (ed.)The Scientist Speculates, 1962, p. 284.Google Scholar 11. Gudder, S.P.,Stochastic Methods in Quantum Mechanics, North Holland, New York, 1979, p. 59.Google Scholar Copyright information © D. Reidel Publishing Company 1981 Authors and Affiliations N. Gisin1C. Piron11.Departement de Physique ThéoriqueUniversité de GenèveGenève 4Switzerland (...truncated)