Quantum Chaos in Mixed Phase Space and the Julia Set
スポンサーリンク
概要
- 論文の詳細を見る
Recent studies on complex dynamical systems in more than one dimension have revealed that even if the real phase space is a mixture of KAM tori and chaotic seas there exists a unique ergodic measure in the complex phase space which is (weakly) hyperbolic and gives maximal entropy of the dynamics. We present several pieces of numerical evidence and speculations on the existence of rotational domains in the complex space, implying that the measure thus obtained satisfies desired properties of the support of semiclassical wave functions in the mixed phase space.
- 理論物理学刊行会の論文
- 2003-09-30
著者
-
Shudo A
Tokyo Metropolitan Univ. Tokyo
-
Shudo Akira
Department Of Applied Physics Waseda University
-
Shudo Akira
Institute Of Molecular Science
-
Ikeda K
Faculty Of Science And Engineering Ritsumeikan University
-
IKEDA Kensuke
Faculty of Science and Engineering, Ritsumeikan University
-
Ikeda Kensuke
Faculty Of Science And Engineering Ritsumeikan University
-
SHUDO Akira
Department of Physics, Tokyo Metropolitan University
関連論文
- On a Random System Which Reveals Anomalous Localization of Wave Functions : Progress Letters
- A New Class of Disordered Systems : A Modified Bernoulli System with Long-Range Structural Correlation
- Stokes geometry for the quantized Henon map(6) Approaches from mathematical science and quantum information, Chaos and Nonlinear Dynamics in Quantum-Mechanical and Macroscopic Systems)
- Whispering Gallery Mode Lasers
- Nambu-Hamiltonian Flows Associated with Discrete Maps (General)
- Relationship between Level Spacing Property and Matrix Element Distribution in Quantum Nonintegrable Systems : Part II. Quantal Aspects : New Trends in Chaotic Dynamics of Hamiltonian Systems
- Quantum Chaos in Mixed Phase Space and the Julia Set
- Semiclassical Quantization and Periodic Orbits of Dispersing Billiards
- Statistical Properties of Eigenfunctions for Quantum Billiards with and without Positive Lyapunov Exponent
- Can One Determine the Shape of a Quantum Billiard Table through the Eigenenergies and Resonances?
- A Functional Equation for Semiclassical Fredholm Determinant for Strongly Chaotic Billiards
- Quantum Chaos in Mixed Phase Space and the Julia Set
- Toward the Classical Understanding of Quantum Chaological Phenomena : Dynamical Localization and Chaotic Tunneling
- Complex Trajectory Description for Chaotic Tunneling
- Level Spacing Distribution and Avoided Crossing in Quantum Chaos
- Boundary element method and isospectrality in quantum billiards(Perspectives of Nonequilibrium Statistical Physics-The Memory of Professor Shuichi Tasaki-)
- Dynamical Fluctuations of Observables and the Ensemble of Classical Trajectories