Quantum graphs with singular two-particle interactions
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Publication:4920402
DOI10.1088/1751-8113/46/4/045206zbMath1267.81163arXiv1112.4751OpenAlexW1993121865MaRDI QIDQ4920402
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/1112.4751
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) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)
Related Items (17)
Homology groups for particles on one-connected graphs ⋮ 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 ⋮ On a two-particle bound system on the half-line ⋮ ANDERSON LOCALIZATION FOR A MULTI-PARTICLE QUANTUM GRAPH ⋮ Many-particle quantum graphs and Bose-Einstein condensation ⋮ Non-abelian quantum statistics on graphs ⋮ Geometric presentations of braid groups for particles on a graph ⋮ Two interacting particles on the half-line ⋮ \(n\)-particle quantum statistics on graphs ⋮ 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 ⋮ Optimization of the lowest eigenvalue for leaky star graphs
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