Two particles on a star graph I

Physics – Mathematical Physics

Scientific paper

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2 figures. New version has only notational changes

Scientific paper

10.1134/S1061920807040097

We consider a two particle system on a star graph with $\delta$-function
interaction. A class of eigensolutions is described which are constructed from
appropriate one particle solutions, and hence are parametrised by two momenta.
These solutions include a family of solutions with discontinuous derivative on
the diagonal.

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