On the Non-Linear Schrödinger Equation

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


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.


Schrodinger Equation Hartree Equation Crucial Experiment Diffraction Picture Coulomb Potential Energy 
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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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