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Russian Journal of Mathematical Physics

, Volume 15, Issue 4, pp 473–480 | Cite as

Two particles on a star graph, II

  • M. Harmer
Article

Abstract

We consider a two-particle system on a star graph with delta function interaction. A complete description of the eigensolutions with real momenta is given; specifically, it is shown that all eigensolutions can be represented as integrals on the momentum plane of sums of products of appropriate one-particle solutions.

Keywords

Basic Solution Inverse Image Dimensional Vector Space Attractive Potential Star Graph 
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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References

  1. 1.
    S. Albeverio and P. Kurasov, Singular Perturbations of Differential Operators, London Mathematical Society Lecture Note Series 271 (Cambridge University Press, Cambridge, 2000).Google Scholar
  2. 2.
    M. Harmer, “Two Particles on a Star Graph, I,” Russ. J. Math. Phys. 14(4), 435–439 (2007).CrossRefMathSciNetGoogle Scholar
  3. 3.
    C. N. Yang, “Some Exact Results for the Many-Body Problem in One Dimension with Repulsive Delta-Function Interaction,” Phys. Rev. Lett. 19, 1312–1315 (1967).zbMATHCrossRefADSMathSciNetGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2008

Authors and Affiliations

  1. 1.Czech Academy of SciencesŘežCzech Republic

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