Russian Journal of Mathematical Physics

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

Two particles on a star graph, II

  • M. Harmer


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.


Basic Solution Inverse Image Dimensional Vector Space Attractive Potential Star Graph 
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    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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