On a Rigorous Proof of the Joos–Zeh Formula for Decoherence in a Two-body Problem

Conference paper
Part of the Trends in Mathematics book series (TM)


We consider a simple one-dimensional system consisting of two particles interacting with a δ-potential and we discuss a rigorous derivation of the asymptotic wave function of the system in the limit of small mass ratio. We apply the result for the explicit computation of the decoherence effect induced on the heavy particle in a concrete example of quantum evolution.


Wave Function Wave Packet Heavy Particle Light Particle Rigorous Proof 
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.


  1. [AGH-KH]
    Albeverio S., Gesztesy F., Hoegh-Krohn R., Holden H., Solvable Models in Quantum Mechanics, Springer-Verlag, 1988.CrossRefGoogle Scholar
  2. [BGJKS]
    Blanchard Ph., Giulini D., Joos E., Kiefer C., Stamatescu I.-O., De-coherence: Theoretical, Experimental and Conceptual Problems. Lect. Notes in Phys. Vol. 538, Springer, 2000.CrossRefGoogle Scholar
  3. [D]
    Dell’Antonio G., On Decoherence, Preprint, 2003.Google Scholar
  4. [DFT]
    Duerr D., Figari R., Teta A., Decoherence in a two-particle model.http://www.ma.utexas.edu02–442, submitted to J. Math. Phys.
  5. [GF]
    Gallis M.R., Fleming G.N., Environmental and spontaneous localiza-tion, Phys. Rev.A42 (1990), 38–48.Google Scholar
  6. [GJKKSZ]
    Giulini D, Joos E., Kiefer C., Kupsch J., Stamatescu 1.-O., Zeh H.D., Decoherence and the Appearance of a Classical World in Quantum Theory, Springer, 1996.CrossRefGoogle Scholar
  7. [JZ]
    Joos E., Zeh H.D., The emergence of classical properties through inter-action with the environment. Z. Phys. B59 (1985), 223–243.Google Scholar
  8. [S]
    Schulman L S, Application of the propagator for the delta function potential. In: Path Integrals from mev to Mev,Gutzwiller M.C., Ioumata A., Klauder J.K., Streit L., eds., World Scientific, 1986.Google Scholar
  9. [T]
    Tegmark M., Apparent wave function collapse caused by scattering. Found. Phys. Lett., 6 (1993), 571–590.Google Scholar

Copyright information

© Springer Basel AG 2004

Authors and Affiliations

  • A. Teta
    • 1
  1. 1.Dipartimento di Matematica Pura e ApplicataUniversità di l’Aquilal’AquilaItaly

Personalised recommendations