A Possible Classical Description for su(1, 1)-Spin Systems : Nuclear Physics

スポンサーリンク

概要

• 論文の詳細を見る

• With the aim of investigating dynamics of systems governed by su(1, 1)-algebra, a possible state which can give us a classical counterpart for the su(1, 1)-spin system properly is examined and constructed explicitly. By the use of canonicity conditions developed in the time-dependent Hartree-Fock theory, the c-number analogue of the Holstein-Primakoff boson representation is obtained for the su(1, 1)-algebra. It is noted that it is important to introduce a character of two-mode coherent state in order to present a suitable classical counterpart for the su(1, 1)-spin. Furthermore, it is shown that the spreading of uncertainty relations appears inevitably, which suggests that a certain fluctuation can be introduced.

• 理論物理学刊行会の論文
• 1994-01-25

著者

• 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

• 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)
• 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)
• 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)
• 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 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
• 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
• Generalization of Equation of Collective Submanifold : A Theory of Large Amplitude Collective Motion and Its Coupling with Intrinsic Degrees of Freedom : Nuclear Physics
• Canonical Coordinate System Suitable for Adiabatic Treatment of Collective Motion : General Case : Nuclear Physics
• Minimal Uncertainty in Quantal System Obeying the su(2)-Algebra : 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
• Canonicity Condition and Its Favourite Form of Collective Hamiltonian
• A Possible Description of Classical Motion in Quantal Systems
• Description of Mixed States Based on the Time-Dependent Hartree-Fock Theory. II : Classical Boson Expansion : Nuclear Physics
• 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
• Equations of Collective Submanifold for Large Amplitude Collective Motion and Its Coupling with Intrinsic Degrees of Freedom. III : 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
• Note on Boson Expansion and Boson Coherent State for the su(2)-Spin System
• Thermal Effect in Lipkin Model. I : Thermal Equilibrium State and Phase Transition : Nuclear Physics
• Description of Thermal Effects in su(1, 1)-Algebraic Model Derived from Nuclear su(2) -Model
• On the Hamiltonians Expressed in Terms of su (1, 1)-Generators for Describing Thermal Effects in Nuclear su(2) -Models
• Investigation of the Minimal Uncertainty Appearing in the Quasi-Spin Coherent and the Quasi-Spin Squeezed State of Many-Fermion System : The Case of Many-Nucleon System in Pairing Correlation : Nuclear Physics
• Thermal Effects and Dissipation in su(1, 1)-Algebraic Model by Means of Time-Dependent Variational Approach : Nuclear Physics
• A Possible Classical Description for su(1, 1)-Spin Systems : Nuclear Physics
• On the Coherent and the Squeezed State in the su(2)-Boson Model : 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
• 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) 【cross product】 su(2) Algebra
• 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

もっと見る 閉じる

スポンサーリンク