Correlation Analysis of Quantum Fluctuations and Repulsion Effects of Classical Dynamics in SU(3) model(Nuclear Physics)
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概要
- 論文の詳細を見る
In many quantum systems, random matrix theory has been used to characterize quantum level fluctuations, which is known to be a quantum correspondent to a regular-to-chaos transition in classical systems. We present a new qualitative analysis of quantum and classical fluctuation properties by exploiting correlation coefficients and variances. It is shown that the correlation coefficient of the quantum level density is roughly inversely proportional relation to the variance of consecutive phase-space point spacings on the Poincare section plane.
- 理論物理学刊行会の論文
- 2003-09-25
著者
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Sakata F
Department Of Mathematical Sciences Ibaraki University
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Sakata Fumihiko
Department Of Mathematical Sciences Ibaraki University
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Sakata F
Ibaraki Univ. Mito Jpn
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Fujiwara Shigeyasu
Department Of Mathematical Sciences Ibaraki University
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- Preface
- Chapter 7. Coupling between Collective and Intrinsic Modes of Excitation : Part IV. A Next Subject
- Chapter 1. Intrinsic and Collective Degrees of Freedom in Quasi-Spin Space : Part II. General Formulation of Theory
- The Influence of the Pairing Degrees of Freedom on the Collective Excited States : Schematic Analysis
- A Possible Microscopic Description of Nuclear Collective Rotation in Band-Crossing Region:Occurrence Mechanism of s-Band
- Bifurcation Structure of Eigenstates and Periodic Trajectories in TDHF Phase Space : Weak Nonlinearity Case in SU(3) Model : Nuclear Physics
- A Numerical Study on the Structure Change of Collective Motions
- New Algorithm for Hartree-Fock Variational Equation : Nuclear Physics
- Quantum Nonlinear Resonance : Nuclear Physics
- Microscopic Description of Nuclear Collective Rotation by Means of the Self-Consistent Collective Coordinate Method : Occurrence Mechanism of Collective Rotation : Nuclear Physics
- Extraction of Dynamical Collective Subspace for Large-Amplitude Collective Motion : Application to Simple Solvable Model : Nuclear Physics
- Optimum Collective Submanifold in Resonant Cases by the Self-Consistent Collective-Coordinate Method for Large-Amplitude Collective Motion
- Collective, Dissipative and Stochastic Motions in the TDHF Theory : Nuclear Physics
- Concept of Dynamical Collective Submanifold for Large-Amplitude Collective Motion in the TDHF Theory : Nuclear Physics
- Intrinsic Excitation Modes Compatible with Large-Amplitude Collective Motion in the TDHF Theory : Nuclear Physics
- Applicability of the Concept of "Optimal" Collective Submanifold Determined by the Self-Consistent Collective-Coordinate Method : Long-Time Behavior of Trajectories on "Optimal" Collective Submanifold : Nuclear Physics
- Geometry of the Self-Consistent Collective-Coordinate Method for the Large-Amplitude Collective Motion : Stability Condition of Maximally-Decoupled Collective Submanifold
- Maximally-Decoupled Collective Submanifold in a Simple Solvable Model
- An Attempt toward Quantum Theory of "Maximally-Decoupled"Collective Motion
- Quantum Theory of Collective Motion : Quantized Self-Consistent Collective-Coordinate Method for the Large-Amplitude Nuclear Collective Motion
- Self-Consistent Collective-Coordinate Method for the Large-Amplitude Nuclear Collective Motion
- Investigation on Microscopic Dynamics of Dissipation in Nuclear Collective Motion (原子核動力学における散逸と減衰)
- Nonlinear Dynamics of Nuclear Collective Motion
- Correlation Analysis of Quantum Fluctuations and Repulsion Effects of Classical Dynamics in SU (3) model
- A Microscopic Theory of the So-Called "Two-Phonon" States in Even-Even Nuclei. II : Formulation
- Chapter 2 Outline of the Mode-Mode Coupling Theory
- Chapter 1 Present Status of the Microscopic Study of Low-Lying Collective States in Spherical and Transitional Nuclei
- A New Method for Microscopic Description of the So-Called "Many-Phonon" States in Spherical Even-Even Nuclei. I
- Structure of the Anomalous 0^ Excited States in Spherical Even-Even Nuclei with N or Z≈ 40
- In What Sense Does the Phonon Picture Persist in Spherical Even-Even Nuclei?
- Chapter 3 A New Microscopic Method for Describing the Elementary Modes of Excitation in the Intrinsic Subspace : Dressed n-Quasiparticle Modes and Multi-Phonon Excitation
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- Quantum Theory of Dynamical Collective Subspace for Large-Amplitude Collective Motion : Nuclear Physics
- Present Status of the Microscopic Study of Low-Lying Collective States in Spherical and Transitional Nuclei (Microscopic Study of Low-Lying Collective States in Spherical and Transitional Nuclei--Dynamical Interplay between Pairing and Quadrupole Modes)
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