The search for a quantum KAM theorem

This publication has 28 references indexed in Scilit:

• Theory of the Liapunov exponents of Hamiltonian systems and a numerical study on the transition from regular to irregular classical motion
  The Journal of Chemical Physics, 1986
• Chaos and nonunitary evolution in nonintegrable Hamiltonian systems
  Physical Review A, 1985
• Stochasticity in classical Hamiltonian systems: Universal aspects
  Physics Reports, 1985
• Renormalization method for computing the threshold of the large-scale stochastic instability in two degrees of freedom Hamiltonian systems
  Journal of Statistical Physics, 1981
• A universal instability of many-dimensional oscillator systems
  Physics Reports, 1979
• On the relation of dynamics to statistical mechanics
  Celestial Mechanics and Dynamical Astronomy, 1977
• Level clustering in the regular spectrum
  Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1977
• Amplitude Instability and Ergodic Behavior for Conservative Nonlinear Oscillator Systems
  Physical Review B, 1969
• The applicability of the third integral of motion: Some numerical experiments
  The Astronomical Journal, 1964
• PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN
  Russian Mathematical Surveys, 1963