Two particles on a star graph I

Abstract

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.

2 figures. New version has only notational changes

References in corpus (1)

• Gauge fields, point interactions and few-body problems in one dimension

Cited by in corpus (7)

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• Quantum graphs with two-particle contact interactions
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• Two interacting particles on the half-line
• On pairs of interacting electrons in a quantum wire
• Two particles on a star graph II
• Many-particle quantum graphs: A review