Solving the RPA Eigenvalue Equation in Real-Space(Nuclear Physics)

スポンサーリンク

概要

• 論文の詳細を見る

• We present a computational method to solve the RPA eigenvalue equation employing a uniform grid representation in three-dimensional Cartesian coordinates. The conjugate gradient method is used for this purpose as an iterative method for a generalized eigenvalue problem. No construction of unoccupied orbitals is required in the procedure. We expect this method to be useful for systems lacking spatial symmetry to calculate accurate eigenvalues and transition matrix elements of a few low-lying excitations. Some applications are presented to demonstrate the feasibility of the method, considering the simplified mean-field model as an example of a nuclear physics system and the electronic excitations in molecules with time-dependent density functional theory as an example of an electronic system.

• 理論物理学刊行会の論文
• 2002-12-25

著者

• YABANA Kazuhiro

  Department of Physics, Kyoto University

• Iwata Jun-ichi

  Nanotechnology Research Institute National Institute Of Advanced Industrial Science And Technology (

• Yabana K

  Univ. Tsukuba Tsukuba Jpn

• Yabana Kazuhiro

  Research Institute For Fundamental Physics Kyoto University

• Yabana Kazuhiro

  Institute Of Physics University Of Tsukuba

• Yabana Kazuhiro

  Institute Of Physics & Center For Computational Sciences University Of Tsukuba

• HASHIMOTO Yukio

  Institute of Physics, University of Tsukuba

• MUTA Atsushi

  Tokyo Institute of Polytechnics, Faculty of Women College

• Muta A

  Tokyo Institute Of Polytechnics Faculty Of Women College

• Muta Atsushi

  Tokyo Institute Of Polytechnics Faculty Of Women College

• Hashimoto Yukio

  Institute Of Physics University Of Tsukuba

• YABANA Kazuhiro

  Institute of Physics, University of Tsukuba

• IWATA Jun-Ichi

  Nanotechnology Research Institute, National Institute of Advanced Industrial Science and Technology (AIST)

• HASHIMOTO Yukio

  Institute for Nuclear Study, University of Tokyo

• HASHIMOTO Yukio

  Institute of Physics, University of Tsukaba

関連論文

• Semi-Classical Quantization for Multi-Dimensional Coupled-Channel Equation : General and Mathematical Physics
• 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)
• Skyrme GCM calculation with parity and angular momentum projection for Mg isotopes(Poster presentation,YITP Workshop on New Developments in Nuclear Self-Consistent Mean-Field Theories (MF05))
• Linear response calculations in the time-dependent Skyrme density functional(International Workshop on Nuclear Structure-New Pictures in the Extended Isospin Space(NS07)-)
• Microscopic Theories for the Reactions of Halo Nuclei
• 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)
• Absorbing Kernels to Study Resonances in the Generator Coordinate Method(Nuclear Physics)
• Microscopic Derivation of the Nucleus-Nucleus Potential by the Use of the Density-Dependent Effective Interaction
• Cranked Cluster Wave Function for Molecular States : Nuclear Physics
• WKB Treatment of Boson Hamiltonian of Inter-Nucleus Interaction
• Solving the RPA Eigenvalue Equation in Real-Space(Nuclear Physics)
• Solving the RPA Eigenvalue Equation in Real-Space
• Fusion Reaction of Halo Nuclei : Proton Halo versus Neutron Halo
• Absorbing Boundary Condition Approach for Breakup Reactions of Halo Nuclei
• Low Energy Reactions of Halo Nuclei in a Three-Body Model : Nuclear Physics
• Alpha Clustering of Light Nuclei in the Parity Projected Mean Field Method : Nuclear Physics
• Deformations of Be Isotopes Studied with Skyrme Hartree-Fock Method : Nuclear Physics
• A Semi-Classical Treatment of the Coupled Channel Equation with Non-Local Interaction. IV : Higher Order Corrections to the Equivalent Local Potentials : Progress Letters
• Microscopic Study of the α-^O Interaction on the Basis of the Realistic Effective Interaction
• Microscopic Study of the Nucleus-Nucleus Interaction on the Basis of the Realistic Effective Interaction. II : Physical Consideration on the Effective Interaction and Comparison with Experiments in the α-α System : Nuclear Physics
• Microscopic Study of the Nucleus-Nucleus Interaction on the Basis of the Realistic Effective Interaction. I : Formulation : Nuclear Physics
• WKB Method in Boson Representation : Progress Letters
• A Semi-Classical Treatment of the Coupled Channel Equation with Non-Local Interaction. II : Equivalent Local Potentials to Be Used in the Coupled Channel Treatment : Nuclear Physics
• A Semi-Classical Treatment of the Coupled Channel Equation with Non-Local Interaction. III : Perey Effect and Flux Conservation : Nuclear Physics
• 3D Real-Space Calculation of the Continuum Response
• Microscopic Analysis of the Nucleus-Nucleus Optical Potential Based on the Feshbach Projection Operator Formalism. I : Formulation and Analysis of α^-^O System : Nuclear Physics
• On the Corner-of-Mass Free Density Matrix : Nuclear Physics
• Adiabatic Viewpoint for the WKB Treatment of Coupled Channel System : Appearance of the Berry Phase and Another Extra Phase Accompanying the Adiabatic Motion : Nuclear Physics
• 3D Real-Space Calculation of the Continuum Response
• Effect of the Nucleus-Nucleus Potential on the High Energy Photon Production in the Intermediate Energy Heavy Ion Collision : Nuclear Physics
• On Singularities and Asymptotic Behaviors in Kaluza-Klein Cosmology : Particles and Fields
• Microscopic Analysis of Inelastic Coupling Potential Based on the Coupled Channel Resonating Group Method. I : Formulation and Study of ^6Li-α System : Nuclear Physics
• Pauli-Forbiddenn Region in the Phase-Space of Coupled-Channel System in the Framework of the Time-Dependent Variational Theory
• A Semi-Classical Treatment of the Coupled Channel Equation with Non-Local Interaction. I : Nuclear Physics
• Projection Operator Method for Collective Tunneling Transitions
• 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
• Optimum Collective Submanifold in Resonant Cases by the Self-Consistent Collective-Coordinate Method for Large-Amplitude Collective Motion
• 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
• Nonlinear Dynamics of Nuclear Collective Motion
• Single Particle Properties of Nuclei on and beyond the Drip Line
• Bifurcation Structure of Eigenstates and Periodic Trajectories in TDHF Phase Space : Weak Nonlinearity Case in SU(3) Model : Nuclear Physics

もっと見る 閉じる

スポンサーリンク