A Boson System Interacting with an External Harmonic Oscillator : The su(1,1)-Spin Like Behavior in the su(2)-Spin System : Nuclear Physics
スポンサーリンク
概要
- 論文の詳細を見る
In order to avoid the introduction of a fictitious degree of freedom in the it su(1,1)-algebraic approach for describing thermal effects in a boson system, the su(2)-algebraic approach is proposed in terms of a boson system interacting with an external harmonic oscillator. The relation between the two approaches is investigated from two points of view. One is a quantal point of view based on the MYT boson expansion. The other is a classical point of view based on one of three forms of coherent states for the it su(2)-spin system proposed recently by the present authors. Solution of Hamilton's equation of motion is discussed in relation to that in the su(1,1)-algebraic approach.
- 理論物理学刊行会の論文
- 1997-10-25
著者
-
Providencia Joao
Departamento De Fisica Universidade De Coimbra
-
YAMAMURA Masatoshi
Faculty of Engineering, Kansai University
-
KURIYAMA Atsushi
Faculty of Engineering, Kansai University
-
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
-
Providencia da
Departamento de Fisica,Unzversidade de Coimbra
-
Yamamura Masatoshi
Faculty Of Engineering Kansai University
-
YAMAMURA Masatoshi
Faculty of Engineering ,Kansai 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)
- 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)
- An Orthogonal Set Constituted by Eight Kinds of Boson Operators
- 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)
- Note on the Orthogonal Set in Six Kinds of Boson Operators : In Relation to the su (1,1)-and Its Relevant Algebras
- On the Random Phase Approximation Based on the Thermo Field Dynamics Formalism : Nuclear Physics
- A Note on Classical Orbits, Collective Submanifold and Quantal Collective Subspace : Progress Letters
- Specification of Collective Submanifold by Adiabatic Time-Dependent Hartree-Fock Method : Coupled Lipkin Model
- Generalized Center of Mass and Relative Motions in Classical Many-Body System : An Example of Solutions of Equations of Collective Submanifold : Nuclear Physics
- Unique Specification of Collective Submanifold : Nuclear Physics
- Quasi-Spin Squeezed State for Lipkin Model : Nuclear Physics
- Time-Dependent Hartree-Fock Method and Its Extension
- Equation of Collective Submanifold for Mixed States : Condensed Matter and Statistical Physics
- A Boson System Interacting with an External Harmonic Oscillator : The su(1,1)-Spin Like Behavior in the su(2)-Spin System : Nuclear Physics
- Three Forms of Coherent States in the su(2)-Spin System and Related Classical Counterparts : Nuclear Physics
- Coherent State Combined with Mixed State for an Imperfect Boson System II : Static Solution and Elementary Excitation(Nuclear Physics)
- Coherent State Combined with Mixed State for an Imperfect Boson System I : Thermalization of Pure Squeezed Coherent State(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
- Schwinger-Type Boson Realization for the su(4) Algebra : In Relation to the Description of Many-Fermion Systems in Pairing Correlation
- Schwinger-Type Boson Realization for Three Sub-Algebras of the su(4) Algebra : The so(5), the so(4) and the su(2)⊗su(2) Algebra
- 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. 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
- A Note on Collective Variables Determined by Equations of Collective Submanifold : In Relation to Tomonaga Theory of Collective Motion : Nuclear Physics
- Canonical Formulation of Time-Dependent Hartree-Fock Method : Nuclear Physics
- 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)
- A Canonical Coordinate System Suitable for Adiabatic Treatment of Collective Motion : An Illustrative Model
- 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
- Effective Potential Approach to Quark Ferromagnetization in High Density Quark Matter(Nuclear Physics)
- On the Color-Singlet States in Many-Quark Model with the su(4)-Algebraic Structure. I : Color-Symmetric Form
- First-Order Quark-Hadron Phase-Transition in a NJL-Type Model for Nuclear and Quark Matter : The Case of Symmetric Nuclear Matter
- 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)