Skip to main content

Energy-dependent interactions and the extension theory

  • 1. General Considerations
  • Conference paper
  • First Online:
Applications of Self-Adjoint Extensions in Quantum Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 324))

  • 164 Accesses

Abstract

The aim of this lecture is to present a short summary of some aspects a mathematical construction developed at Leningrad University for two-body exactly solvable models with point interactions [1–3, 5–9].

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. V.M.Adamjan, B.S.Pavlov, Zap.Nauch.Sem.LOMI 149 (1986), 7.

    Google Scholar 

  2. B.S.Pavlov, Uspekchi Matem.Nauk 42 (1987), 99.

    Google Scholar 

  3. B.S.Pavlov, Tecr.Mat.Fiz. 59 (1984), 345.

    Google Scholar 

  4. M.G.Krein, Dokl.Akad.Nauk SSSR, (1946), 657.

    Google Scholar 

  5. B.S.Pavlov, Matem.Sbornik, 1988 (to appear).

    Google Scholar 

  6. Yu.A.Kuperin, Yu.B.Makarov, B.S.Pavlov, Teor.Mat.Fiz. 69 (1986), 100.

    Google Scholar 

  7. Yu.A.Kuperin, K.A.Makarov, Yu.B.Melnikov, Teor.Mat.Fiz. 74 (1988), 103.

    Google Scholar 

  8. Yu.A.Kuperin, K.A.Makarov, S.P.Merkuriev et al., ITP-Budapest Report N441, Budapest, 1986.

    Google Scholar 

  9. Yu.A.Kuperin, K.A.Makarov, Yu.B.Melnikov: in “Theory of Quantum Systems with Strong Interactions”, Kalinin, 1987, P.63.

    Google Scholar 

  10. Yu.G.Shondin, Teor.Mat.Fiz. 64 (1985), 432.

    Google Scholar 

  11. S.P.Merkuriev, L.D.Faddeev: Quantum Scatter Theory in Few-Body Systems, Moscow, Nauka, 1985 (in Russian). *** DIRECT SUPPORT *** A3418253 00002

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Pavel Exner Petr Šeba

Rights and permissions

Reprints and permissions

Copyright information

© 1989 Springer-Verlag

About this paper

Cite this paper

Makarov, K. (1989). Energy-dependent interactions and the extension theory. In: Exner, P., Šeba, P. (eds) Applications of Self-Adjoint Extensions in Quantum Physics. Lecture Notes in Physics, vol 324. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0022956

Download citation

  • DOI: https://doi.org/10.1007/BFb0022956

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50883-0

  • Online ISBN: 978-3-540-46104-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics