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On the Non-Linear Schrödinger Equation

  • A. B. Datzeff
Part of the Fundamental Theories of Physics book series (FTPH, volume 10)

Abstract

When a homogeneous electron beam passes through a small hole, a well-known diffraction picture is obtained according to quantum mechanics. This picture does not depend on the density of the electrons, since the Schrödinger equation is linear. Experiment contradicts however this deduction, because in reality the beam dilates. Accordingly, a generalized nonlinear Schrödinger equation is here proposed which gives both a diffraction picture and the dilatation phenomenon. Attempts to check these effects may turn into a crucial experiment.

Keywords

Schrodinger Equation Hartree Equation Crucial Experiment Diffraction Picture Coulomb Potential Energy 
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.

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Copyright information

© D. Reidel Publishing Company 1985

Authors and Affiliations

  • A. B. Datzeff
    • 1
  1. 1.Faculty of PhysicsUniversity of SofiaSofiaBulgaria

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