A New Tamm-Dancoff Method Based on the SO(2N+1) Regular Representation of Fermion Many-Body Systems

スポンサーリンク

概要

• 論文の詳細を見る

• A new Tamm-Dancoff method is developed on the basis of the SO(2N+1) regular representation formalism of Fermiion many-body systems. The Schrodinger equation in the SO(2N+1) generator coordinate representation is decomposed into symmetry subspaces by means of a Peierls-Yoccoz projection procedure. The decomposed Schrodinger equation is transformed to a quasi-particle frame by a transformation of the generator coordinate and expanded by the symmetry projected Tamm-Dancoff bases. The Tamm-Dancoff equation and wave function thus obtained satisfy all symmetry requirements at every order of the expansion. The first order Tamm-Dancoff wave function is neither an independent particle nor quasi-particle approximation but represents Bose condensed Fermion pairs (and an unpaired particle) performing a coherent motion. The higher order terms represent fluctuations of Fermion pairs (and the unpaired particle) from the Bose condensate.

• 理論物理学刊行会の論文
• 1978-12-25

著者

• FUKUTOME Hideo

  Department of Physics, Kyoto University

• Fukutome Hideo

  Department Of Physics Faculty Of Science Kyoto University

• FUKUTOME Hideo

  Department of Physics, Faculty of Science, Kyoto University

関連論文

• Unrestricted Hartree-Fock Studies on the Electronic Structures of the Carbenes CH_2, CHF and CF_2
• The Unrestricted Hartree-Fock Theory of Chemical Reactions. IV : Singlet Radical States with "Antiferromagnetic" Spin Orderings in Four-Center Exchange Reaction of Hydrogen Molecules
• Group Theoretical Classification of Solutions of the Unrestricted Hartree-Fock Equation in Molecular Systems with a Spatial Point Symmetry
• Electronic and Lattice Structures of Isolated Se Chains and Defects in Them.II
• Resonating Hartree-Bogoliubov Theory--Application to a Description of Multiple Shapes Coexistence in Nuclei (原子核集団ダイナミックスの新動向)
• Degeneracy in the Crystal Structure of As_2S_3
• The SDW-CDW Phase Transition in the One Dimensional Extended Hubbard Model
• Resonating Hartree-Fock Studies on Electronic Structures of Excited States in the One Dimensional Bond Alternated Hubbard Model
• Resonating Hartree-Fock Studies on Electron Correlation and Bond Alternation in the One Dimensional Half Filled Hubbard Model
• Application of the Improper Hartree-Bogoliubov Formalism to the Schematic Model of Odd Nuclei
• A Variational Foundation of the Improper Hartree-Bogoliubov Formalism
• A New Fermion Many-Body Theory Based on the SO(2N+1) Lie Algebra of the Fermion Operators
• Resonating Hartree-Fock Theory of the One Dimensional Hubbard Model. : II. Breather Fluctuations in the Strong Correlation Regime
• THEORY OF EXCITATIONS IN A FERMION SYSTEM WITH LARGE QUNANTUM FLUCTUATIIONS : RESONATING HB APPROXIMATION AND RESONATING HB RPA
• Time-dependent Resonating Hartree Bogoliubov理論(基研研究会「有限多体系(原子核、原子・分子、超微粒子)の集団運動-その共通性と異質性-」報告,研究会報告)
• Electronic and Lattice Structures of Isolated Se Chains and Defects in Them.I. A Semi-Empirical Model and Properties of Regular Se Helix
• ESR g-Tensors of Defects in a Se Chain
• Toward a Microscopic Theory of Large Amplitude Collective Motions Based on the SO(2N+1) Lie Algebra of the Fermion Operators (「時間依存自己無撞着場の方法と量子化」研究会報告)
• Superpolaron Model for Metallic Polyacetylene
• Resonating Hartree-Fock Theory of the One Dimensional Hubbard Model.I.Quantum Fluctuations by SDW Solitons and Breathers
• Energy Band and Lattice Structures of Trigonal Se and Te in the Vector Charge Density Wave Model : Condensed Matter and Statistical Physics
• MOMENTS OF INERTIA OF ROTATIONAL BANDS BUILT ON RESONATING HARTREE-BOGOLIUBOV LEVELS
• Orbital Optimization in the Resonating Hartree-Fock Approximation and Its Application to the One Dimensional Hubbard Model
• On the Electronic State of Macromolecules. II
• Elementary Defects, Halfons, Connecting the SDW and CDW in the One Dimensional Extended Hubbard Model
• A Conduction Mechanism in the Non-Magnetic Regime of Doped Polyacetylene
• A Mechanism of Charged Soliton Conduction in a Doped Polyacetylene Chain : Condensed Matter and Statistical Physics
• Solitonic Generation of Valence Alternation Pairs in As_2S_3
• A New Tamm-Dancoff Method Based on the SO(2N+1) Regular Representation of Fermion Many-Body Systems
• Hartree-Fock Equation in Restricted Hilbert Space
• The Group Theoretical Structure of Fermion Many-Body Systems Arising from the Canonical Anticommutation Relation I : Lie Algebras of Fermion Operators and Exact Generator Coordinate Representations of State Vectors
• Unrestricted Hartree-Fock Description of the Ground and the Lowest Singlet States of Oxygen Molecule
• Non-Adiabatic Hartree-Fock and Configuration Interaction Theory
• Bond Alternation in Halogen Substituted Polyacetylene : Possibility of C-F Bond Length Alternation in (CF)x : Condensed Matter and Statistical Physics
• Theory of the Unrestricted Hartree-Fock Equation and Its Solutions. III : Classification of Instabilities and Interconnection Relation between the Eight Classes of UHF Solutions
• Resonating Hartree-Bogoliubov Theory for a Superconducting Fermion System with Large Quantum Fluctuations : Condensed Matter and Statistical Physics
• Spin Density Wave and Charge Transfer Wave in Long Conjugated Molecules
• Charge Transfer Interaction and Hydrogen Bonding between Vitamine K_1 and Dihydrovitamine K_1
• Time Dependent SO(2N+1) Theory for Unified Description of Bose and Fermi Type Collective Excitations : Nuclear Physics
• Application of the Transfer Matrix Method to the Huckel Molecular Orbital Analysis of Complex Conjugated Molecules
• Continuum Version for the PPP Model of Polyacetylene and Other Half-Filled Peierls Systems : Condensed Matter and Statistical Physics
• Electronic and Lattice Structures of a Se-Te Alloyed Chain
• Zwitterionic and Diradical Breathers in Trans-Polyacetylene
• Resonating Random Phase Approximation for Excitations in a Superconducting Fermion System with Large Quantum Fluctuations : Condensed Matter and Statistical Physics
• Theory of Electronic Structures and Lattice Distortion in Polyacetylene and Itinerant Peierls Systems. III : Coulomb Effects on Solitons and Effective Coulomb Potential in Trans-Polyacetylene
• Mechanism of Bond Alternation and Solitons in Polydihalogenoacetylene : Condensed Matter and Statistical Physics
• Theory of Electronic Structures and Lattice Distortions in Polyacetylene and Itinerant Peierls Systems.I : UHF Transfer Matrix Method Adapted to the Long Range Coulomb Interaction and UHF States in Regular Bond Alternated Lattice
• Theory of Electronic Structures and Lattice Distortions in Polyacetylene and Itinerant Peierls Systems. IV : Coulomb Effects on Polarons
• Theory of Electronic Structures and Lattice Distortions in Polyacetylene and Itinerant Peierls Systems. II
• The Unrestricted Hartree-Fock Theory of Chemical Reactions. V : The Reaction of Three Hydrogens in Isosceles Triangular Conformations
• Unrestricted Hartree-Fock Studies on the Dimerization Reactions of the Carbenes CH_2, CHF and CF_2
• Low's Scattering Equation and S-Matrix
• Vector Charge Density Wave Model of Metallic and Trigonal Te : Condensed Matter and Statistical Physics
• Equivalence of a Peierls System to a Hartree-Fock System in a Virtual Equidistant Lattice
• Resonating Hartree-Fock Ground State in Carbon Mono-Oxide : Condensed Matter and Statistical Physics
• Spin Density Wave and Charge Transfer Wave in Long Conjugated Molecules
• Bond Alternation in Polydicyanoacetylene : Condensed Matter and Statistical Physics
• A New Direct Minimization Algorism for Hartree-Fock Calculation
• Theory of the Unrestricted Hartree-Fock Equation and Its Solutions. I
• Theory of the Unrestricted Hartree-Fock Equation and Its Solutions. IV : Behavior of UHF Solutions in the Vicinity of Interconnecting Instability Threshold
• The Unrestricted Hartree-Fock Theory of Chemical Reactions. I : The Electronic Instabilities in the Chemical Reactions and the Solutions of the Unrestricted SCF LCAO MO Equation for the Homopolar Two-Center Two-Electron System
• Unrestricted Hartree-Fock Description of the Ground State of N_2
• The Unrestricted Hartree-Fock Theory of Chemical Reactions. III : Instability Conditions for Paramagnetic and Spin Density Wave States and Application to Internal Rotation of Ethylene
• Theory of the Unrestricted Hartree-Fock Equation and Its Solutions. II : Classification and Characterization of UHF Solutions by Their Behavior for Spin Rotation and Time Reversal
• Low's Theory for Electron Scattering and Photoelectron Production of Atoms, Molecules and Solids
• The SDW-CDW Phase Transition in the One Dimensional Extended Hubbard Model
• On the SO(2N+1) Regular Representation of Operators and Wave Functions of Fermion Many-Body Systems
• Charge Density Wave-Soliton Model for Se and Te : Condensed Matter and Statistical Physics
• Theory of Excitations in a Fermion System with Large Quantum Fluctuations : Resonating Random Phase Approximation : Condensed Matter and Statistical Physics
• Theory of Resonating Quantum Fluctuations in a Fermion System : Resonating Hartree-Fock Approximation : Condensed Matter and Statistical Physics
• Studies on the electronic structures of hydrocarbon diradicals by the unrestricted Hartree-Fock theory.

もっと見る 閉じる

スポンサーリンク