Two interacting particles in an external potential

  • Yu. N. Ovchinnikov
Solids Electronic Properties


The solution to the Schrödinger equation is analyzed for two particles interacting in an external potential. It is assumed that a shallow level exists for one of the particles in the external potential. It is shown that repulsion leads to a transfer of one of the particles to the continuous spectrum after attainment of the interaction threshold. For the shallow level, the threshold value of the interaction is independent of level depth.


Spectroscopy State Physics Field Theory Elementary Particle Quantum Field Theory 
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  1. 1.
    J. M. Ziman, Principles of the Theory of Solids (Cambridge Univ. Press, Cambridge, 1964; Mir, Moscow, 1966).Google Scholar
  2. 2.
    A. A. Abrikosov, L. P. Gor’kov, and I. E. Dzyaloshinskii, Methods of Quantum Field Theory in Statistical Physics (Fizmatgiz, Moscow, 1962; Prentice Hall, Englewood Cliffs, N.J., 1963).Google Scholar
  3. 3.
    A. A. Abrikosov, Fundamentals of the Theory of Metals (Nauka, Moscow, 1987; North-Holland, Amsterdam, 1988).Google Scholar
  4. 4.
    L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 3: Quantum Mechanics: Non-Relativistic Theory, 2nd ed. (Fizmatgiz, Moscow, 1963; Pergamon, New York, 1977).Google Scholar

Copyright information

© MAIK "Nauka/Interperiodica" 2004

Authors and Affiliations

  • Yu. N. Ovchinnikov
    • 1
    • 2
  1. 1.Max-Planck Institute für Physik Komplexer SystemeDresdenGermany
  2. 2.Landau Institute for Theoretical PhysicsRussian Academy of SciencesChernogolovka, Moscow oblastRussia

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