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Many-Particle Quantum Graphs: A Review

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Discrete and Continuous Models in the Theory of Networks

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 281))

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Abstract

In this paper we review recent work that has been done on quantum many-particle systems on metric graphs. Topics include the implementation of singular interactions, Bose-Einstein condensation, solvable models and spectral properties of some simple models in connection with superconductivity in quantum wires.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Royal Holloway, University of London, Egham, UK

    Jens Bolte

  2. Department of Mathematics and Computer Science, FernUniversität in Hagen, Hagen, Germany

    Joachim Kerner

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  1. Jens Bolte
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  2. Joachim Kerner
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Correspondence to Jens Bolte .

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Editors and Affiliations

  1. Department of Mathematics, Bilkent University, Ankara, Turkey

    Fatihcan M. Atay

  2. Department of Mathematics, Stockholm University, Stockholm, Sweden

    Pavel B. Kurasov

  3. Mathematik und Informatik, FernUniversität in Hagen, Hagen, Germany

    Delio Mugnolo

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Bolte, J., Kerner, J. (2020). Many-Particle Quantum Graphs: A Review. In: Atay, F., Kurasov, P., Mugnolo, D. (eds) Discrete and Continuous Models in the Theory of Networks. Operator Theory: Advances and Applications, vol 281. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-44097-8_2

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