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Matrix Quantum Mechanics

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Asymptotic Combinatorics with Application to Mathematical Physics

Part of the book series: NATO Science Series ((NAII,volume 77))

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Abstract

We give an introduction into the basic features and applications of a quantum mechanical “particle” with the Hermitian matrix valued coordinate. The system enjoys certain integrability properties which allows exact analytical calculations of some interesting physical quantities and counting of planar graphs embedded into the one dimensional line or the circle.

Lectures at the European Summer School “Asymptotic combinatorics with applications to mathematical physics”, St.Petersburg (Russia), July 2001

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Author information

Authors and Affiliations

  1. Laboratoire de Physique Théorique, l’Ecole Normale Supérieure, 75231, Paris CEDEX, France

    Vladimir Kazakov

Authors
  1. Vladimir Kazakov
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Editor information

Editors and Affiliations

  1. I.N.R.I.A., Le Chesnay, France

    Vadim Malyshev

  2. Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia

    Anatoly Vershik

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© 2002 Springer Science+Business Media Dordrecht

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Kazakov, V. (2002). Matrix Quantum Mechanics. In: Malyshev, V., Vershik, A. (eds) Asymptotic Combinatorics with Application to Mathematical Physics. NATO Science Series, vol 77. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0575-3_1

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  • DOI: https://doi.org/10.1007/978-94-010-0575-3_1

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-0793-4

  • Online ISBN: 978-94-010-0575-3

  • eBook Packages: Springer Book Archive

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