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Basic Principles of the Zero-Range Potential Method

  • Yu. N. Demkov
  • V. N. Ostrovskii
Part of the Physics of Atoms and Molecules book series (PAMO)

Abstract

It is known that the Schrödinger equation admits solutions expressible in a closed analytic form in only a few cases. The stationary Schrödinger equation is solvable analytically for a harmonic oscillator, for a particle moving in a Coulomb field or in a rectangular potential well, and in some other cases. Even the one-particle Schrödinger equation cannot be solved exactly for the great majority of potentials. In the case of the many-particle and non-stationary problems the situation becomes even more intractable.

Keywords

Wave Function Atomic Physic Schrodinger Equation Separable Potential Coulomb Field 
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

© Plenum Press, New York 1988

Authors and Affiliations

  • Yu. N. Demkov
    • 1
  • V. N. Ostrovskii
    • 1
  1. 1.Leningrad State UniversityLeningradUSSR

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