A Possible Boson Realization of Generalized Lipkin Model for Many-Fermion System : The su(M+1)-Algebraic Model in Non-Symmetric Boson Representation
スポンサーリンク
概要
- 論文の詳細を見る
On the basis of the formalism proposed by three of the present authors (A. K., J. P. & M. Y.). the generalized Lipkin model consisting of (M + 1) single-particle levels is investigated. This model is essentially a kind of the su(M + 1)-algebraic model and, in contrast to the conventional treatment, the case in which fermions are partially occupied in each level is discussed. The scheme for obtaining the orthogonal set for the irreducible representation is presented.
- 理論物理学刊行会の論文
- 2001-06-25
著者
-
Providencia Joao
Departamento De Fisica Universidade De Coimbra
-
Constanca Providencia
Departamento De Fisica Universidade De Coimbra
-
Providencia Constanca
Departamento De Fisica Universidade De Coimbra
-
Kuriyama Atsushi
Faculty Of Engineering Kansai University
-
Yamamura Masatoshi
Department Of Pure And Applied Physics Faculty Of Engineering Science Kansai University
-
Tsue Yasuhiko
Department Of Physics Kyoto University
-
Kuriyama A
Faculty Of Engineering Kansai University
-
Yamamura Masatoshi
Faculty Of Engineering Kansai University
-
Da Providencia
Departamento De Fisica Centro De Fisica Computacional Faculdade De Ciencias E Tecnologia Universidade De Coimbra
-
YAMAMURA Masatoshi
Faculty of Engineering ,Kansai University
-
TSUE Yasuhiko
Department of Material Science, Kochi University
-
TSUE Yasuhiko
Departamento de Fisica,Universidade de Coimbra
-
PROVIDENCIA Constanca
Departament de Fisica, Universidade de Coimbra
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)
- Approach to a Fermionic SO(2N+2) Rotator Based on the SO(2N+1) Lie Algebra of the Fermion Operators (arXiv:1010.1642v1)
- A Refined Numerical Result on the First Excitation Energy in the Two-Level Pairing Model(Nuclear Physics)
- Classical and Quantal Descriptions of Small Amplitude Fluctuations around Equilibriums in the Two-Level Pairing Model(Nuclear Physics)
- The Lipkin Model in Many-Fermion System as an Example of the su(1, 1) ⊗ su(1, 1)-Algebraic Model(Nuclear Physics)
- A Note on the Two-Level Pairing Model Obeying the su (2) ⊗ su (2)-Algebra : Re-formation in Terms of the su (1, 1) ⊗ su (1, 1)-Algebra(Nuclear Physics)
- A New Boson Realization of the Two-Level Pairing Model in a Many-Fermion System and Its Classical Counterpart : The Role of the su (2) ⊗ su (1, 1)-Coherent State in the Schwinger Boson Representation for the su (2) ⊗ su (2)-Algebra(Nuclear P
- Note on Many-Quark Model with su(4) Algebraic Structure(Nuclear Physics)
- 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)
- Semi-Classical Approach to the Two-Level Pairing Model : Various Aspects of Phase Change(Nuclear Physics)
- Boson Realization of the su (3)-Algebra. IV : Holstein-Primakoff Representation for the Elliott Model (Nuclear Physics)
- Boson Realization of the su (3)-Algebra. III : Schwinger Representation for the Elliott Model (Nuclear Physics)
- Boson Realization of the su(3)-Algebra. II : Holstein-Primakoff Representation for the Lipkin Model(Nuclear Physics)
- Boson Realization of the su(3)-Algebra. I : Schwinger Representation for the Lipkin Model(Nuclear Physics)
- The Lipkin Model in the su(M+1)-Algebra for Many-Fermion System and Its Counterpart in the Schwinger Boson Representation(Nuclear Physics)
- A Possible Boson Realization of the so(4)-and the so(3, 1)-Algebra : In Relation to the Runge-Lenz-Pauli Vector(Nuclear Physics)
- A Note on the Eigenvalue Problem in the su(1, 1)-Algebra(Nuclear Physics)
- On the Eigenvalue Problem of the su(1,1)-Algebra and the Coupling Scheme of Two su(1,1)-Spins(Nuclear Physics)
- Coupling Schemes for an n su(2) Spin System(Nuclear Physics)
- The Heisenberg Antiferromagnet : An Explicitly Rotational Invariant Formulation(Condensed Matter and Statistical Physics)
- A Note on a Boson Realization in Many-Boson System
- On the Coupling of Two su(1, 1)Spins in the Holstein-Primakoff Type Boson Representation
- 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)
- On the color-singlet states in many-quark model with the su(4)-algebraic structure (1) Color-symmetric form
- A Boson System Interacting with an External Harmonic Oscillator : The su(1,1)-Spin Like Behavior in the su(2)-Spin System : Nuclear Physics
- Imperfect Bose System and Its Mixed State Representation. II : Numerical Analysis with a Short-Range Replusive Force(Nuclear Physics)
- Imperfect Bose System and Its Mixed State Representation. II : Numerical Analysis with a Short-Range Replusive Force
- Deformed Boson Scheme Stressing Even-Odd Boson Number Difference. I : Various Forms of Boson-Pair Coherent State(Nuclear Physics)
- Deformed Boson Scheme Stressing Even-Odd Boson Number Difference. I : Various Forms of Boson-Pair Coherent State
- 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)
- The su (1, 1)-Algebraic Boson Model in the Deformed Boson Scheme : The Second Holstein-Primakoff Representation as q-Deformed Boson Operator
- Note on the Deformed Boson Scheme in Four Kinds of Boson Operators
- Even-Odd Effect on the Thermal Equilibrium State of the Pairing Model. II : Mean Field Approximation and Renormalized Distribution
- Even-Odd Effect on the Thermal Equilibrium State of the Pairing Model. I : Comparison between Canonical and Grand Canonical Ensembles
- Deformed Boson Scheme including Conventional q-Deformation in Time-Dependent Variational Method. IV : The su(2)_q-and the su(1, 1)_q-Algebras in Four Kinds of Boson Operators
- Two Contrastive Boson-Pair Coherent States in Deformed Boson Scheme
- On the Multiboson Coherent State in Deformed Boson Scheme
- Note on the Deformed Boson Scheme in Time-Dependent Variational Method
- Deformed Boson Scheme including Conventional q-Deformation in Time-Dependent Variational Method. III : Deformation of the su(2,1)-Algebra in Terms of Three Kinds of Boson Operators
- On the color-singlet states in many-quark model with the su(4)-algebraic structure (3) 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 (2) Determination of ground-state energies
- Utility of su(1,1)-Algebra in a Schematic Nuclear su(2)-Model
- 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)
- Deformed Boson Scheme including Conventional q-Deformation in Time-Dependent Variational Method.II : Deformation of the su(2)- and the su(1, 1)-Algebras in the Schwinger Boson Representation
- Deformed Boson Scheme including Conventional q-Deformation in Time-Dependent Variational Method.I : The Case of Many-Body Systems Consisting of One Kind of Boson Operator
- A Possible Boson Realization of Generalized Lipkin Model for Many-Fermion System : The su(M+1)-Algebraic Model in Non-Symmetric Boson Representation
- Pairing Model and Mixed State Representation. II : Grand Partition Function and Its Mean Field Approximation
- Pairing Model and Mixed State Representation. I : Thermal Equilibrium State
- Canonical Formulation of Mixed State and Irreducible Representation of u(M) Algebra
- Time-Evolution of the Cohererut and the Squeezed States of Many-Body Systems Based on the Basic Idea of the Boson Mapping and the TDHF Method
- Imperfect Bose System and Its Mixed State Representation. I : Thermal Equilibrium State of Imperfect Bose System
- The Lipkin Model in a New Boson Realization : Basic Idea
- A Possible Description of Many-Body System Composed of Four Kinds of Boson Operators : In Relation to the su(2)- and the su(1,1)-Algebraic Model
- On the Schwinger Boson Representation of an Extended (M+1)(N+1)-Dimensional Algebra Containing the su(M+1)- and the su(N,1)-Algebra
- Description of Mixed States Based on the Time-Dependent Hartree-Fock Theory. I : Formalism of Thermo Field Dynamics in Canonical Theory with Constraints : 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(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)
- 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
- 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)
- Instability of Thermal Equilibrium State of the Lipkin Model : Nuclear Physics
- On the q-Boson Realization of the su_q(2) and su_q(1,1) Algebras : The Marumori-Yamamura-Tokunaga Method : Nuclear Physics
- A Boson System Interacting with an External Harmonic Oscillator : A Possible Description of Statistically Mixed State
- A Possible Description of Many-Body System Composed of Three Kinds of Boson Operators : The su(2,1)-Boson Model : Neuclear Physics
- Modification of the Conventional Holstein-Primakoff Boson Representation for the su(1,1)-Algebra and Its Classical Counterpart
- Three Forms of Boson Expansions for the su(2)-Spin System and Their c-Number Counterparts : Nuclear Physics
- Thermal Effect in the Lipkin Model. III : Dynamical Fluctuation of Thermal Equilibrium State
- Thermal Effect in Lipkin Model. II : Grand Partition Function and Mean Field Approximation
- Thermal Effect in Lipkin Model. I : Thermal Equilibrium State and Phase Transition : Nuclear Physics
- On the Canonical Equivalence of Classical Boson Expansions for Mixed States : Nuclear Physics
- Application of the Canonical Theory of Mixed State to the Description of Bound State of the Nucleus. II : Schematic Model and Physical Ingredients of Constraints : Nuclear Physics
- Description of Mixed States Based on the Time-Dependent Hartree-Fock Theory. III : Random Phase Approximation and Its First Order Corrections : Nuclear Physics
- Application of the Canonical Theory of Mixed State to the Description of Bound States of the Nucleus. I : Reformulation of the Theory of Mixed State : Nuclear Physics
- Two Types of Schrodinger Time Evolution in the Formalism of Thermo Field Dynamics and Their Equivalence to the Liouville-von Neumann Equation
- 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
- A Boson System Interacting with an External Harmonic Oscillator : A Possible Description of Statistically Mixed State
- A Possible Description of Many-Body System Composed of Three Kinds of Boson Operators : The su(2,1)-Boson Model : Neuclear Physics
- A Note on the Eigenvalue Problem in the su(1, 1)-Algebra(Nuclear Physics)