Two particles on a star graph II

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 written as integrals in the momentum plane of sums of products of appropriate one particle solutions.

typos corrected, minor changes, journal ref added

References in corpus (2)

• Gauge fields, point interactions and few-body problems in one dimension
• Two particles on a star graph I

Cited by in corpus (6)

• Quantum graphs with singular two-particle interactions
• Quantum graphs with two-particle contact interactions
• Particle creation and annihilation at interior boundaries: One-dimensional models
• Two interacting particles on the half-line
• On pairs of interacting electrons in a quantum wire
• Many-particle quantum graphs: A review