Foundations of Physics

, Volume 18, Issue 11, pp 1077–1091 | Cite as

Trajectories of two-particle states for the harmonic oscillator

  • A. Kyprianidis
Part V. Invited Papers Dedicated To David Bohm


Using the example of a harmonic oscillator and nondispersive wave packets, we derive, in the frame of the causal interpretation, the equations of motion and particle trajectories in one- and two-particle systems. The role of the symmetry or antisymmetry of the wave function is analyzed as it manifests itself in the specific types of corelated trajectories. This simple example shows that the concepts of the quantum potential and the quantum forces prove to be essential for the specification of the dynamics of a microsystem and the resulting statistical behavior.


Wave Function Wave Packet Harmonic Oscillator Particle Trajectory Statistical Behavior 
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  1. 1.
    D. Bohm,Phys. Rev. 85 166, 180 (1952).Google Scholar
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    See also C. Dewdneyet al.,J. Phys. A 17, L741 (1984); and C. Dewdney and P. R. Holland, “Particle trajectories and quantum correlations,” inQuantum Mechanics versus Local Realism, F. Selleri, ed. (Plenum, New York, 1988), and references quoted therein.Google Scholar
  3. 3.
    D. Bohm,Quantum Theory (Prentice-Hall, Englewood Cliffs, 1951).Google Scholar

Copyright information

© Plenum Publishing Corporation 1988

Authors and Affiliations

  • A. Kyprianidis
    • 1
  1. 1.Institut Henri PoincaréUnité Associée au C.N.R.S. No. 769, Université Pierre et Marie CurieParis cedex 05France

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