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Renormalization group study of quantum fluctuations near classical critical points of Hamiltonian systems

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Abstract

A general framework is considered for treating quantum corrections to the classical limit in the Wigner function formalism. We discuss the quantal effect on the classical phenomena such as period doubling and the breakup of KAM tori. By using an exact renormalization group method, the scaling factor for Planck's constant is derived as an eigenvalue of the linearized renormalization transformation.

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Authors and Affiliations

  1. Institute for Theoretical Physics, Eötvös University, 1088, Budapest, Hungary

    Géza Györgyi

  2. Fachbereich Physik, Universität Gesamthochschule Essen, D4300, Essen 1, Germany

    Robert Graham

  3. Department of Physics and Center for Theoretical Physics, University of Maryland, 20742, College Park, Maryland

    R. E. Prange

Authors
  1. Géza Györgyi
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  2. Robert Graham
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  3. R. E. Prange
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Györgyi, G., Graham, R. & Prange, R.E. Renormalization group study of quantum fluctuations near classical critical points of Hamiltonian systems. J Stat Phys 68, 175–188 (1992). https://doi.org/10.1007/BF01048841

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  • DOI: https://doi.org/10.1007/BF01048841

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