Maximally-Decoupled Collective Submanifold in a Simple Solvable Model
スポンサーリンク
概要
- 論文の詳細を見る
The self-consistent collective-coordinate method formulated within the framework of the time-dependent Hartree-Fock theory is illustrated by using a simple solvable model. A concept of "maximally-decoupled" collective submanifold obtained by this method turns out to be a so-called hypersurface in the 1p-1h phase space, on which the TDHF trajectory corresponding to the "classical" large-amplitude collective motion travels. Various roles of dynamical and kinematical anharmonicity effects neglected under the random phase approximation are also clarified.
- 理論物理学刊行会の論文
- 1983-07-25
著者
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HASHIMOTO Yukio
Institute of Physics, University of Tsukuba
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SAKATA Fumihiko
Institute for Nuclear Study, University of Tokyo
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MARUMORI Toshio
Institute of Physics, University of Tsukuba
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Marumori T
Department Of Physics Science University Of Tokyo
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Marumori Toshio
Institute For Nuclear Study University Of Tokyo
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Sakata Fumihiko
Department Of Mathematical Sciences Ibaraki University
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Sakata Fumihiko
Institute For Nuclear Study The University Of Tokyo
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Hashimoto Yukio
Institute Of Physics University Of Tsukuba
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UNE Tsutomu
Institute of Physics, University of Tsukuba
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Une T
Univ. Tsukuba Ibaraki Jpn
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Une Tsutomu
Institute Of Physics University Of Tsukuba
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Sakata F
Ibaraki Univ. Mito Jpn
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UNE Tsutom
Institute of Physics, University of Tsukuba
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UNE Tsutomu
Institute of Physics, University of Tsukaba
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HASHIMOTO Yukio
Institute for Nuclear Study, University of Tokyo
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HASHIMOTO Yukio
Institute of Physics, University of Tsukaba
関連論文
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- 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
- On Singularities and Asymptotic Behaviors in Kaluza-Klein Cosmology : Particles and Fields
- 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
- Local Gaussian Approximation in the Generator Coordinate Method
- A Step toward Large-Amplitude Description of the Ground Band around Band Crossing
- On the Extended Siegert Theorem
- Quantization of the Adiabatic TDHF Theory of Large Amplitude Collective Motion
- Collective Hamiltonian in the Generator Coordinate Method with Local Gaussian Approximation
- Finite-Range DWBA Analysis of Anomalous Analyzing Powers in (p,α) Reactions
- 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
- Dynamical Properties of the GCM Rotational Hamiltonian : Dynamics of the Transition from Collective to Noncollective Rotation : Nuclear Physics
- Study of Tilted Rotation Based on the Method of Variation after Projection
- 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