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

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概要

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• The applicability of the concept of "optimal" collective submanifold determined by the self-consistent collective-coordinate (SCC) method is investigated by using a simple model Hamiltonian. Long-time behavior of the SCC-method trajectories on the optimal collective submanifold is analyzed, by comparing the geometrical structure of the SCC-method trajectories with that of the time-dependent Hartree-Fock (TDHF) trajectories in terms of the Poincare-mapping method. The concept of the optimal collective submanifold determined by the SCC method turns out to be applicable for a fairly large domain of the TDHF manifold where the separatrix is not included, in the sense that it can represent an approximate time-averaged trajectory of the complicated TDHF trajectories.

• 理論物理学刊行会の論文
• 1985-02-25

著者

• HASHIMOTO Yukio

  Institute of Physics, University of Tsukuba

• SAKATA Fumihiko

  Institute for Nuclear Study, University of Tokyo

• MARUMORI Toshio

  Institute of Physics, University of Tsukuba

• Marumori T

  Department Of Physics Science University Of Tokyo

• Marumori Toshio

  Institute For Nuclear Study University Of Tokyo

• Sakata Fumihiko

  Department Of Mathematical Sciences Ibaraki University

• Sakata Fumihiko

  Institute For Nuclear Study The University Of Tokyo

• Hashimoto Yukio

  Institute Of Physics University Of Tsukuba

• Sakata F

  Ibaraki Univ. Mito Jpn

• HASHIMOTO Yukio

  Institute for Nuclear Study, University of Tokyo

• HASHIMOTO Yukio

  Institute of Physics,Uniersity of Tsukuba

関連論文

• 実空間におけるRPA方程式の解法(有限量子多体系の励起構造と相関効果-原子核・量子ドット・ボース凝縮・クラスターを中心として-,研究会報告)
• 実空間における RPA 方程式の解法(「有限量子多体系の励起構造と相関効果」-原子核・量子ドット・ボース凝縮・クラスターを中心として-,研究会報告)
• Solving the RPA Eigenvalue Equation in Real-Space(Nuclear Physics)
• Solving the RPA Eigenvalue Equation in Real-Space
• Breaking of Separability Condition for Dynamical Collective Subspace : Onset of Quantum Chaos in Large-Amplitude Collective Motion : Nuclear Phusics
• A Role of the Two-body Collision in the Nuclear Shape Evolution (原子核動力学における散逸と減衰)
• Concept of a Collective Subspace Associated with the Invariance Principle of the Schrodinger Equation:A Microscopic Theory of the Large Amplitude Collective Motion of Soft Nuclei
• Preface
• Chapter 7. Coupling between Collective and Intrinsic Modes of Excitation : Part IV. A Next Subject
• Chapter 5. Microscopic Structure of Breaking and Persistency of "Phonon-plus-Odd-Quasi-Particle Picture" : Part III. Analysis of Low-Lying States in Spherical Odd-Mass Nuclei
• Chapter 4. Persistency of AC State-Like Structure in Collective Excitations : Odd-Mass Mo, Ru, I, Cs and La Isotopes : Part III. Analysis of Low-Lying States in Spherical Odd-Mass Nuclei
• Chapter 3. Structure of the Anomalous Coupling States with Spin I=(j-1) : Part III. Analysis of Low-Lying States in Spherical Odd-Mass Nuclei
• Chapter 2. Theory of Intrinsic Modes of Excitation in Odd-Mass Nuclei : Part II. General Formulation of Theory
• Chapter 1. Intrinsic and Collective Degrees of Freedom in Quasi-Spin Space : Part II. General Formulation of Theory
• Part I. Introduction
• Microscopic Structure of a New Type of Collective Excitation in Odd-Mass Mo, Ru, I, Cs and La Isotopes
• Theory of Collective Excitations in Spherical Odd-Mass Nuclei. IV : Formulation in the General Many-j-Shell Model
• Equations of Motion for the System of Interest under Time-Dependent Environment(Nuclear Physics)
• The Influence of the Pairing Degrees of Freedom on the Collective Excited States : Schematic Analysis
• Projection Operator Method for Collective Tunneling Transitions
• A Possible Microscopic Description of Nuclear Collective Rotation in Band-Crossing Region:Occurrence Mechanism of s-Band
• Work with Maskawa on Microscopic Theory of Nuclear Collective Motion(Commemorating the Nobel Prize Awarded to M. Kobayashi and T. Maskawa)
• Chapter I Formation of the Viewpoint, Alpha-Like Four-Body Correlations and Molecular Aspects in Nuclei
• 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
• The Theory of the Structure of Elementary Particles
• 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 VI Many-Body Theoretical Description of Alpha-Like Four-Body Correlations
• Chapter 5 Dynamical Interplay between Pairing and Quadrupole Correlations in Odd-Mass Nuclei
• Chapter 4 Dynamical Interplay between Pairing and Quadrupole Correlations : Anharmonicity in the So-Called Two-Phonon Triplet States in Medium-Heavy 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
• Correlation Analysis of Quantum Fluctuations and Repulsion Effects of Classical Dynamics in SU(3) model(Nuclear Physics)
• Dissipation Mechanism of the Large-Amplitude Collective Motion : Dynamical Evolution of a Collective Bundle of Trajectories in the TDHF Phase Space for a Simple Soluble Model : Nuclear Physics
• On the Foundation of the Unified Nuclear Model, I
• On the Universal Fermi Interaction
• On the Conservation of Heavy Particles
• On the Nuclear Saturation
• Quantum Theory of Dynamical Collective Subspace for Large-Amplitude Collective Motion : Nuclear Physics
• A Microscopic Theory of Large Amplitude Nuclear Collective Motion
• On the Relation between Hill-Wheeler's and Bohr-Mottelson's Descriptions of the Nuclear Collective Model
• On the "Optical Method" for the Scattering of High Energy Particles by Complex Nuclei
• 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)
• Bifurcation Structure of Eigenstates and Periodic Trajectories in TDHF Phase Space : Weak Nonlinearity Case in SU(3) Model : Nuclear Physics
• A Microscopic Theory of Large Amplitude Nuclear Collective Motion

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