Quantum graphs with two-particle contact interactions

DOI10.1088/1751-8113/46/4/045207zbMath1267.81164arXiv1207.5648OpenAlexW2013381793MaRDI QIDQ4920403

Jens Bolte, Joachim Kerner

Publication date: 17 May 2013

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.5648

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Many-body theory; quantum Hall effect (81V70) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (14)

On pairs of interacting electrons in a quantum wire ⋮ A remark on the effect of random singular two-particle interactions ⋮ Scattering properties of two singularly interacting particles on the half-line ⋮ On bound electron pairs on the half-line ⋮ Exactly solvable interacting two-particle quantum graphs ⋮ Many-Particle Quantum Graphs: A Review ⋮ An Asymptotic Expansion of the Trace of the Heat Kernel of a Singular Two-particle Contact Interaction in One-dimension ⋮ On a two-particle bound system on the half-line ⋮ Many-particle quantum graphs and Bose-Einstein condensation ⋮ Non-abelian quantum statistics on graphs ⋮ Two interacting particles on the half-line ⋮ Instability of Bose-Einstein condensation into the one-particle ground state on quantum graphs under repulsive perturbations ⋮ On the number of isolated eigenvalues of a pair of particles on the half-line ⋮ Solvable models of interacting 𝑛-particle systems on quantum graphs

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