Solvable models of interacting 𝑛-particle systems on quantum graphs

DOI10.1090/conm/717/14444zbMath1423.81080arXiv1704.00469OpenAlexW2963474624MaRDI QIDQ5234939

Jens Bolte, George Garforth

Publication date: 7 October 2019

Published in: Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.00469

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Many-body theory; quantum Hall effect (81V70) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Special quantum systems, such as solvable systems (81Q80)

Related Items (1)

Many-Particle Quantum Graphs: A Review

Cites Work

• The trace formula for quantum graphs with general self adjoint boundary conditions
• Periodic orbit theory and spectral statistics for quantum graphs
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• EXACT RESULTS FOR THE ONE-DIMENSIONAL MANY-BODY PROBLEM WITH CONTACT INTERACTION: INCLUDING A TUNABLE IMPURITY
• Level clustering in the regular spectrum
• Inverse spectral problem for quantum graphs
• Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State
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