Theoretical and Mathematical Physics

, Volume 136, Issue 2, pp 1119–1130

Point Interaction Between Two Fermions and One Particle of a Different Nature

  • M. Kh. Shermatov

DOI: 10.1023/A:1025065921676

Cite this article as:
Shermatov, M.K. Theoretical and Mathematical Physics (2003) 136: 1119. doi:10.1023/A:1025065921676


We consider a model of point interaction between two fermions and one particle of a different nature. The model is analogous to the Skornyakov–Ter-Martirosyan model. It is interpreted based on the self-adjoint extension theory for symmetric operators. We show that if the mass of the third particle is sufficiently smaller than the fermion mass, the corresponding energy operator has an infinite set of bound states with the energy values tending to −∞.

Hamiltonian point interaction symmetric operator Skornyakov–Ter-Martirosyan extension self-adjoint solution 

Copyright information

© Plenum Publishing Corporation 2003

Authors and Affiliations

  • M. Kh. Shermatov
    • 1
  1. 1.Samarkand BranchUzbekistan Academy of SciencesSamarkandUzbekistan

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