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Renormalization group study of quantum fluctuations near classical critical points of Hamiltonian systems |
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| Authors: | Géza Györgyi Robert Graham R. E. Prange |
| Affiliation: | (1) Institute for Theoretical Physics, Eötvös University, 1088 Budapest, Hungary;(2) Fachbereich Physik, Universität Gesamthochschule Essen, D4300 Essen 1, Germany;(3) Department of Physics and Center for Theoretical Physics, University of Maryland, 20742 College Park, Maryland |
| 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. |
| Keywords: | Renormalization group Hamiltonian dynamical phase transition Planck's constant scaling period doubling last KAM torus critical exponents |
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