On the Origin and the Nature of Quantum Chaos : Part II. Quantal Aspects : New Trends in Chaotic Dynamics of Hamiltonian Systems
スポンサーリンク
概要
- 論文の詳細を見る
The chaos exhibited by a quantum mechanical system is revealed in various aspects such as level spacing, avoiding of level crossing on changing a parameter value, irregular nodal lines of wave function, random matrix and so on. On the other hand since the wave function, the propagator or any physical quantity represented by the average of a phase function is usually quasi-periodic in time development, no exponential divergence of its value takes place between the neighboring two initial values. Furthermore the energy of a kicked oscillator ceases to increase after a certain period of time. These observations lead one to suspect the existence of chaos in quantal systems. It is shown that the nature of quasi-periodicity in quantum system is shared with the distribution function of classical hamiltonian system. The action integral which appears in the formulation of the propagator is the key quantity which can connect the classical and quantal systems, and is considered as serving to search for the origin of quantum chaos. The roles of the action integral in the determination of the energy levels and the behavior of the wave function are discussed.
- 理論物理学刊行会の論文
- 1989-10-31
著者
-
SAITO Norio
Tohoku National Industrial Research Institute
-
SAITO NOBUHIKO
Department of Internal Medicine, Mita Hospital of International University of Health and Welfare
-
Saito N
Physics Department Tohoku University:r & D Division Magnetic Products Group Sony Corporation
-
Saito N
Waseda Univ. Tokyo
-
Saito Nobuhiko
Department Of Applied Physics Waseda University
-
Saito Nobuhiko
Department Of Applied Physics School Of Science And Engineering Waseda University
-
Saito Nobuhiko
Department Of Applied Physics Faculty Of Sciencc And Engineering Waseda University
-
Saito Nobuhiko
Department Of Applied Physics And Science And Engineering Research Institute Waseda University
-
SAITO Nobuhiko
Department of Applied Physics, Waseda University
-
Saito Nobuhiko
Tohoku National Industrial Research Institute
関連論文
- Domain-Shifting Algorithm : A New Domain-Decomposition Scheme for Molecular Dynamics Simulations on Parallel Computers
- Asymmetric Dimethylarginine (ADMA) in the Aqueous Humor of Diabetic Patients
- The Cold-loaded Pain Sensation Test in the Diagnosis of Diabetic Neuropathy
- Finger Analogue Pain Scale : FAS : Algesthesia Evaluation Method Based on Sense of Touch for Visually Impaired Patients
- Determination of Urinary and Serum Pentosidine and Its Application to Elder Patients
- Quantum Chaos and Randomness(General)
- A New Oxide Spin Glass System of(1-x) FeTiO_Fe_2O_3.II.Neutron Scattering Studies of a Cluster Type Spin Glass of 90FeTiO_3-10Fe_2O_3
- A New Oxide Spin Glass System of(1-x) FeTiO_3-xFe_2O_3.I.Magnetic Properties
- Successful Long-term Treatment with Once-daily Injection of Low-dose Octreotide in an Aged Patient with Insulinoma
- Hormone Profiles after Intramuscular Injection of Testosterone Enanthate in Patients with Hypogonadism
- Statistical Mechanical Theory of the Protein Conformation.II.Folding Pathway for Protein
- Statistical Mechanical Theory of the Protein Conformation.I.General Considerations and the Application to Homopolymers
- Ergodicity, Irreversibility and Approach to Equilibrium
- On the Origin and the Nature of Quantum Chaos : Part II. Quantal Aspects : New Trends in Chaotic Dynamics of Hamiltonian Systems
- Helical Conformation in Some Copolymers of D, L-Amino Acids
- Existence of Low-Dimensional Chaos in Paramecium Membrane Potential Suggested by the Correlation Integral Method
- Conformation of Polypeptide in Helix-Coil Transition Region
- Statistical Mechanical Theory of Protein Conformation and Its Transition(Cross-disciplinary physics and related areas of science and technology)
- Computer Experiments on Ergodic Problems in Anharmonic Lattice Vibrations
- On the Bifurcation of the Periodic Orbits in Certain Hamiltonian Systems
- Spectral Distribution of the Light Scattered from Rodlike Macromolecules in Solution
- Theory of Quantum Measurement in Terms of Quantum Chaos(General)
- Effect of the Angular Velocity on the Sedimentation Constant of Rodlike Macromolecules, II.
- Computer Studies of Ergodicity in Coupled Oscillators with Anharmonic Interaction
- Quantal Logic vs Classical Logic(Condensed Matter and Statistical Physics)
- Linear Response Theory Reformulated from the Chaotic Dynamics
- Long-Time Behavior of the Vibration in One-Dimensional Harmonic Lattice
- Tertiary Structure of Proteins. I. : Representation and Computation of the Conformations
- The Synchronized Periodic Phenomenon in a Nonlinear Lattice Vibration
- External Disturbance to Non-Integrable Hamiltonian System
- On the Stability of Isolating Integrals.II.Ergodic Components in the Stochastic Region
- Electrical Conductivity of Hydrogen-Bonded Polymers
- The Induction Phenomenon and Ergodicity in the Anharmonic Lattice Vibration
- Frictional Properties of Helical Flagella
- Computer Studies on the Approach to Thermal Equilibrium in Coupled Anharmonic Oscillators. : II. One-Dimensional Case
- Level Spacing Distribution and Avoided Crossing in Quantum Chaos
- How to Extract Regularity from Disguised Irregular Levels of Integrable Hamiltonian System
- On the Stability of Lattice Solitons
- The Statistical Mechanical Theory of Stiff Chains
- Chaos around Hyperbolic Fixed Points
- Baker's Transformation and Invariant Measure
- A Note on Thermodynamics of the Harmonic Oscillator with Radiation Damping
- Quasi-Elastic Light Scattering by a Spherical Particle Immersed in a Viscoelastic Medium
- On the Theory of Adiabatic and Isolated Susceptibilities
- The Ising Model on the Cayley Trees
- Rayleigh Linewidth of the Light Scattered from Flexible Polymers in Solution
- Statistical Mechanics of Flexible Linear Polymers I. Moments of End-to-End Distance of a Polymer
- Conformation of Polypeptides in the Helix-Coil Transition Region. : II. Revised Calculation and Discussion
- Computer Studies on the Approach to Thermal Equilibrium in Coupled Anharmonic Oscillators. : I. Two Dimensional Case
- On the Quantum Mechanics-like Description of the Theories of the Brownian Motion and Quantum Statistical Mechanics
- On the Viscoelasticity and Complex Dielectric Constant in the Presence of an Electric Field and a Shearing Laminar Flow in Solution of Macromolecules
- A One-Dimensional System Undergoing First-Order Diffuse Phase Transition
- On the Stability of Isolating Integrals. I. : Effect of the Perturbation in the Potential Function