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

DOI10.1007/BF01048841zbMath0925.58096OpenAlexW1966966435MaRDI QIDQ1379404

Géza Györgyi, R. E. Prange, Robert Graham

Publication date: 22 March 1998

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01048841

zbMATH Keywords

dynamical phase transitionHamiltoniancritical exponentsrenormalization groupperiod doublinglast KAM torusPlanck's constant scaling

Mathematics Subject Classification ID

Quantum chaos (81Q50) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Applications of dynamical systems (37N99) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Cites Work

• Renormalization group analysis of some dynamical systems with noise
• Quantitative universality for a class of nonlinear transformations
• Evolution of semiclassical quantum states in phase space

This page was built for publication: Renormalization group study of quantum fluctuations near classical critical points of Hamiltonian systems