Boson Expansion for Many-Fermion System as a Canonical Theory with Constraints. I
スポンサーリンク
概要
- 論文の詳細を見る
A classical theory for many-fermion system is presented in the canonical form by introducing the ordinary and the Grassmann variables, the number of which exceeds "apparently" the original one. The basic idea is a translation of a theory proposed by the present authors for the case of the particle-hole pairs to the case of the Hartree-Bogoliubov type pairs. Certain constraints governing the variables are introduced and the double counting in the number of the degrees of freedom concerning the extra variables can be avoided. The quantization is performed with the aid of the Dirac bracket to take account of the constraints. It is shown that final result is completely identical with the compact form of the boson expansion given by Marshalek.
- 理論物理学刊行会の論文
- 1981-12-25
著者
-
Kuriyama Atsushi
Department Of Physics Kyoto University
-
Yamamura Masatoshi
Department Of Physics Kyoto University
-
KURIYAMA Atsushi
Department of Physics, Kyushu University /Department of Physics, Kyoto University
関連論文
- First-Order Quark-Hadron Phase-Transition in a NJL-Type Model for Nuclear and Quark Matter : The Case of Symmetric Nuclear Matter(Nuclear Physics)
- Note on Many-Quark Model with su(4) Algebraic Structure(Nuclear Physics)
- Application of the Improper Hartree-Bogoliubov Formalism to the Schematic Model of Odd Nuclei
- A New Fermion Many-Body Theory Based on the SO(2N+1) Lie Algebra of the Fermion Operators
- On the Classical Interpretation of Schwinger Boson Representation for the Quantized Rotator
- On the Exact Eigenstates and the Ground States Based on the Boson Realization for Many-Quark Model with su(4) Algebraic Structure(Nuclear Physics)
- Many-Quark Model with su(4) Algebraic Structure : An Example of Analytically Soluble Many-Fermion System(Nuclear Physics)
- On Parametric Resonance in Quantum Many-Body System : Collective Motion and Quantum Fluctuation around It in Coupled Lipkin Model(Nuclear Physics)
- Deformed Boson Scheme Stressing Even-Odd Boson Number Difference. III : Parameter-Dependent Deformation
- Deformed Boson Scheme Stressing Even-Odd Boson Number Difference. II : Unified Forms of Boson-Pair Coherent States in Even- and Odd-Boson Systems(Nuclear Physics)
- A Microscopic Description of Nuclear Rotational Motion in Terms of Solid Harmonics Expansion of the Pair Operator. I : Classical Theory
- A Microscopic Description of Nuclear Rotational Motion in Terms of Solid Harmonics Evpansion of the Pair Operator. II : Quantization Procedure
- Time-Dependent Hartree-Fock and Functional Approaches. I : A Schematic Model
- Positive Definite Mass Parameter for Large Amplitude Monopole Motion and Non-Adiabatic Effect
- A Remark on Time-Dependent Hartree-Fock and Functional Approaches
- 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
- Theory of Collective Excitations in Spherical Odd-Mass Nuclei. II : Structure of the Anomalous Coupling States with Spin I = (j-1)
- Theory of Collective Excitations in Spherical Odd-Mass Nuclei. I : Basic Ideas and Concept of Dressed Three-Quasi-Particle Modes
- On the "Anharmonic Effects" on the Collective Oscillations in Spherical Even Nuclei. I
- Three Forms of Coherent States in the su(2)-Spin System and Related Classical Counterparts : Nuclear Physics
- On Applicability of the Random Phase Approximation to the Collective Excitation in Spherical Even Nuclei. II : Correction to the So-Called "Two-Phonon" States in Single Closed Shell Nuclei
- Self-Consistent Collective-Coordinate Method for the Large-Amplitude Nuclear Collective Motion
- Schwinger Boson Representation for the Quantized Rotator
- Deuteron Clustering in Nuclear Matter
- A Microscopic Theory of Collective and Independent-Particle Motions : Time-Dependent Hartree-Fock Method and Its Extension
- Four-Body Correlation in Nuclear Matter
- Utility of Dirac Quantization of Classical System Involving Both Collective and Independent-Particle Degrees of Freedom : A Schematic Model
- Collective Subspace and Canonical System with Constraints
- Binding Energy of Nuclear Matter by the Hole Line Expansion Method. I
- Imperfect Bose System and Its Mixed State Representation. II : Numerical Analysis with a Short-Range Replusive Force(Nuclear Physics)
- Deformed Boson Scheme Stressing Even-Odd Boson Number Difference. I : Various Forms of Boson-Pair Coherent State(Nuclear Physics)
- Note on the Orthogonal Set in Six Kinds of Boson Operators : In Relation to the su(1,1)- and Its Relevant Algebras
- A Possible Form of the Orthogonal Set in Six Kinds of Boson Operators : In Relation to the su(2)- and Its Relevant Algebras
- On the Boson Number Operator in the Deformed Boson Scheme
- The su(1,1)-Algebraic Boson Model in the Deformed Boson Scheme : The Second Holstein-Primakoff Representation as q-Deformed Boson Operator(Nuclear Physics)
- Number-Constrained Canonical Equation for Large Amplitude Pairing Motion and Time-Dependent Hartree-Fock Method
- On the Applicability of Generalized Schwinger Representation of the Fermion Pairs to the Anharmonicity. II
- A Note on Pairing Vibration in the Closed Shell Nuclei
- Derivation of Random Phase Approximation on the Basis of the Generalized Schwinger Representation of the Fermion-Pairs
- A Note on Pairing Vibrational Motion
- On the Color-Singlet States in Many-Quark Model with the su(4)-Algebraic Structure. III : Transition from the Quark-Triplet to the Quark-Pair Phase(Nuclear Physics)
- On the Color-Singlet States in Many-Quark Model with the su(4)-Algebraic Structure. II : Determination of Ground-State Energies(Nuclear Physics)
- On the Color-Singlet States in Many-Quark Model with the su(4)-Algebraic Structure. I : Color-Symmetric Form(Nuclear Physics)
- On the "Anharmonic Effects" on the Collective Oscillation in Spherical Even Nuclei. II
- A Microscopic Theory of Rotational Motion in Deformed Odd-Mass Nuclei. I : Basic Ideas in Terms of an Illustrative Model
- Effects of Correlation in the Core on the Motion of Outer Two Nucleons
- Chapter 6. Comparison between Results with the P+QQ Force and with More Complex Residual Force : Part III. Analysis of Low-Lying States in Spherical Odd-Mass Nuclei
- A Note on the Coupling of Angular Momenta in the Schwinger Representation
- An a priori Quantized Time-Dependent Hartree-Bogoliubov Theory : A Generalization of the Schwinger Representation of Quasi-Spin to the Fermion-Pair Algebra
- An Extension of TDHF and Boson-Fermion Expansion
- A Note on Microscopic Description of Rotational Motion
- On the Effect of the Pauli Principle on the Collective Oscillations in Spherical Even Nuclei
- Boson Expansion for Many-Fermion System as a Canonical Theory with Constraints. I
- A Semi-Microscopic Derivation of Coupling between Rotational and Intrinsic Motions. II
- An Extension of Time-Dependent Hartree-Fock Theory Including Grassmann Variables. I : Basic Formulation in the Framework of Dirac's Canonical Theory with Constraints : Nuclear Physics
- A Note on Specification of Collective Path
- A Microscopic Theory of Collective and Independent-Particle Motions
- An Extension of Time-Dependent Hartree-Fock Theory Including Grassmann Variables. II : Canonical Invariance and Specification of Coordinate System : Nuclear Physics
- A Description of the Rotator as an Example of Hamiltonian with Coordinate-Dependent Mass : Semi-Classical Theory
- A Classical Theory of Pairing Rotation and Intrinisic Degrees of Freedom : A Canonical Form with Constraints
- Note on the Minimum Weight States in the su(2)-Algebraic Many-Fermion Model : Extension of the Role of the Auxiliary su(2)-Algebra(Nuclear Physics)
- Background of the su(2)-Algebraic Many-Fermion Models in the Boson Realization : Construction of Minimum Weight States by Means of an Auxiliary su(2)-Algebra and Its Related Problems(Nuclear Physics)
- Rotational Motion in Deformed Even Nucleus and Magnetic Octupole-Moments and -Transitions
- Collective Rotational Motion in Non-Degenerate Nuclear System. I : General Theory
- A Canonical Coordinate System Suitable for Adiabatic Treatment of Collective Motion : An Illustrative Model
- A Possible Canonical Theory for Description of Pairing Correlation : Comparison with the BCS Plus RPA Approach
- A Quantal Theory of Pairing Rotation, Pairing Vibrations and Independent-Particle Motions
- Boson Expansion for Many-Fermion System as a Canonical Theory with Constraints. II
- A Semi-Microscopic Derivation of Coupling between Rotational and Intrinsic Motions. I
- Color-Singlet Three-Quark States in the su(4)-Algebraic Many-Quark Model : An Example of the su(4) ⨂ su(4)-Model(Nuclear Physics)
- Re-Formation of Many-Quark Model with the su(4)-Algebraic Structure in the Schwinger Boson Realization : Reconsideration in the Original Fermion Space(Nuclear Physics)
- On the New Kinematical Constraints of the Pair Operators in the Algebraic Approach to the Theory of Collective Motion
- Color-Singlet Three-Quark States in the su(4)-Algebraic Many-Quark Model : An Example of the su(4)⊗su(4)-Model
- Re-Formation of Many-Quark Model with the su(4)-Algebraic Structure in the Schwinger Boson Realization : Reconsideration in the Original Fermion Space
- Effective Potential Approach to Quark Ferromagnetization in High Density Quark Matter(Nuclear Physics)
- The BCS-Bogoliubov and the su(2)-Algebraic Approach to the Pairing Model in Many-Fermion System : The Quasiparticle in the Conservation of the Fermion Number(Nuclear Physics)
- A Role of the Quasiparticle in the Conservation of the Fermion Number : An Example Illustrative of the Deformation of the Cooper Pair(Nuclear Physics)
- Note on the Minimum Weight States in the su(2)-Algebraic Many-Fermion Model : Extension of the Role of the Auxiliary su(2)-Algebra
- On the Color-Singlet States in Many-Quark Model with the su(4)-Algebraic Structure. I : Color-Symmetric Form
- Background of the su(2)-Algebraic Many-Fermion Models in the Boson Realization : Construction of Minimum Weight States by Means of an Auxiliary su(2)-Algebra and Its Related Problems
- On the Color-Singlet States in Many-Quark Model with the su(4)-Algebraic Structure. III : Transition from the Quark-Triplet to the Quark-Pair Phase
- On the Color-Singlet States in Many-Quark Model with the su(4)-Algebraic Structure. II : Determination of Ground-State Energies
- First-Order Quark-Hadron Phase-Transition in a NJL-Type Model for Nuclear and Quark Matter : The Case of Symmetric Nuclear Matter
- On the Exact Eigenstates and the Ground States Based on the Boson Realization for Many-Quark Model with su(4) Algebraic Structure
- Note on Many-Quark Model with su(4) Algebraic Structure
- Many-Quark Model with su(4) Algebraic Structure : An Example of Analytically Soluble Many-Fermion System
- On the Phonon-Quasiparticle Interactions in Spherical Odd Nuclei
- A Microscopic Theory of Rotational Motion in Deformed Odd-Mass Nucleus : An Additional Term to the Cranking Moment of Inertia
- An Approximate Solution of Equation of Collective Path and Random Phase Approximation
- Effective Potential Approach to Quark Ferromagnetization in High Density Quark Matter
- The BCS-Bogoliubov and the su (2)-Algebraic Approach to the Pairing Model in Many-Fermion System : The Quasiparticle in the Conservation of the Fermion Number
- A Role of the Quasiparticle in the Conservation of the Fermion Number : An Example Illustrative of the Deformation of the Cooper Pair