Concept of Dynamical Collective Submanifold for Large-Amplitude Collective Motion in the TDHF Theory : Nuclear Physics

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概要

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• A systematic microscopic theory of large-amplitude collective motion, which has been recently developed within the framework of the time-dependent Hartree-Fock (TDHF) theory under INS-TSUKUBA joint research project, is reformulated in terms of classical mechanics in the TDHF symplectic manifold. This reformulation clarifies an essential concept in the theory ,i.e., an approximate integral surface in the TDHF manifold, which is identified as a dynamical collective submanifold for the large-amplitude collective motion. It is shown that the approximate integral surface must satisfy three dynamical conditions; (a) a stationary condition (i.e., a maximal-decoupling condition), (b) a stability condition and (c) a separability condition between collective and "local" non-collective modes of motion. These three dynamical conditions make clear the concept of "local"intrinsic modes of motion and guarantee that the TDHF-trajectory representing the large-amplitude collective motion under consideration is successfully reproduced on the approximate integral surface.

• 理論物理学刊行会の論文
• 1986-08-25

著者

• HASHIMOTO Yukio

  Institute of Physics, University of Tsukuba

• Muramatsu Kazuhiro

  Institute For Nuclear Study University Of Tokyo

• 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

• OGURA Masanori

  Institute of Physics, University of Tsukuba

• Ogura M

  Institute Of Physics University Of Tsukuba

• OGURA Mazanori

  Institute of Physics, University of Tsukuba

• 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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