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Limit Cycles in Quantum Mechanics

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Mathematical Physics of Quantum Mechanics

Part of the book series: Lecture Notes in Physics ((LNP,volume 690))

Abstract

This lecture concerns limit cycles in renormalization group (RG) behavior of quantum Hamiltonians. Cyclic behavior is perhaps more common in quantum mechanics than the fixed-point behavior which is well-known from critical phenomena in classical statistical mechanics. We discuss a simple Hamiltonian model that exhibits limit cycle behavior.

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Author information

Authors and Affiliations

  1. Institute of Theoretical Physics, Warsaw University, Poland

    Stanisław D. Głazek

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  1. Stanisław D. Głazek
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Editors and Affiliations

  1. Département de Mathématiques, Université du Sud Toulon Var Centre de physique théorique, F-83957 La Garde Cedex, 20132, France

    Joachim Asch

  2. Institut Fourier Université Grenoble 1, 38402 Saint-Martin-d’Hères Cedex, 74, France

    Alain Joye

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Głazek, S.D. (2006). Limit Cycles in Quantum Mechanics. In: Asch, J., Joye, A. (eds) Mathematical Physics of Quantum Mechanics. Lecture Notes in Physics, vol 690. Springer, Berlin, Heidelberg . https://doi.org/10.1007/3-540-34273-7_8

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