Eigenvalue Distribution of Random Matrices at the Spectrum Edge
スポンサーリンク
概要
- 論文の詳細を見る
Local eigenvalue correlations are exactly evaluated at the edge region for random matrix ensembles related to orthogonal polynomials on a finite real interval. We define a determinant of a quaternion matrix and utilize it for the evaluation. It is shown that there is an exact equivalence between the local correlations for Jacobi and Laguerre ensembles of random matrices.
- 社団法人日本物理学会の論文
- 1993-11-15
著者
-
Wadati Miki
Department Of Physics Faculty Of Science Tokyo University Of Science
-
Nagao Taro
Department Of Physics Faculty Of Science Osaka University
-
Nagao Taro
Department Of Physics Faculty Of Science University Of Tokyo
関連論文
- 1/r^2相互作用系の代数的構造(低次元系の物性と場の理論,研究会報告)
- Statistical Mechanics of a One-Dimensional δ-function Bose Gas
- Bethe Ansatz Cluster Expansion Method for Quantum Integrable Particle Systems (General)
- Multicomponent Bright Solitons in F=2 Spinor Bose-Einstein Condensates(General)
- Supersymmetric Extension of the Reflection Equation Algebra and Integrable Boundary Conditions in Doped Spin-1 Model(General)
- Dark Solitons in F=1 Spinor Bose-Einstein Condensate(General)
- Wave Propagations in the F=1 Spinor Bose-Einstein Condensates(Atomic and Molecular Physics)
- Matter-Wave Solitons in an F = 1 Spinor Bose-Einstein Condensate(General)
- Phase Separation and Collective Excitations of Two-Component Bose-Einstein Condensates in Traps : General Physics
- Dynamics of Magnetically Trapped Boson-Fermion Mixtures : General Physics
- Ground State of a Bose-Einstein Condensate under Axially Symmetric Magnetic Trap
- Fermionic R-Operator Approach for the Small-Polaron Model with Open Boundary Condition
- Correlation Functions of the Asymmetric XXZ Chain and the Painleve V Equation
- Scalar Products of the Asymmetric XXZ Chain
- Stability of a Two-Component Bose-Einstein Condensate
- Stability of the D-Dimensional Nonlinear Schrodinger Equation under Confined Potential
- Spontaneous Magnetization in the Bounded XXZ Spin Chain
- Rodrigues Formula for the Nonsymmetric Multivariable Laguerre Polynomial
- Rodrigues Formula for the Nonsymmetric Macdonald Polynomial
- Fock Spaces for the Calogero Models with Distinguishable Particles
- Soliton Propagation in a Bose-Einstein Condensate
- Singularity Formation and Self-Similar Solution in the Magnetically Trapped Bose-Einstein Condensate
- Fermionic R-Operator and Integrability of the One-Dimensional Hubbard Model
- Fermionic R-Operator for the Fermion Chain Model
- Coupled Nonlinear Schrodinger Equations for Two-Component Wave Systems
- Tri-Hamiltonian Structure and complete Integrability of Volterra Model
- The Quantum Calogero-Moser Model : Algebraic Structures
- Quantum Calogero-Moser Model and its Algebraic Structures(New Developments in Statistical Physics Similarities in Diversities,YITP Workshop)
- Integrability of the Quantum Calogero-Moser Model
- Grating Solitons in Optical Fiber
- Coupled Hybrid Nonlinear Schrodinger Equation and Optical Solitons
- Curve Lengthening Equation and Its Solutions
- Electromagnetically Induced Transparency and Soliton Propagations(General)
- Exact Analysis of δ-Function Attractive Fermions and Repulsive Bosons in One-Dimension(General)
- Non-Hermitian Random Matrices and Integrable Quantum Hamiltonians
- Rodrigues Formula for the Nonsymmetric Multivariable Hermite Polynomial
- Infinite Symmetry of the One-Dimensional System with Inverse Square Interactions
- Matter-Wave Bright Solitons with a Finite Background in Spinor Bose-Einstein Condensates(General)
- Exact Analysis of a δ-Function Spin-1/2 Attractive Fermi Gas with an External Magnetic Field(General)
- Ground State Properties of a Toroidally Trapped Bose-Einstein Condensate : General Physics
- Integrability of Calogero-Moser Spin System
- The Coupled Modified Korteweg-de Vries Equations
- Exact Virial Expansion for the Quantum Calogero Model
- Collapses of Wavefunctions in Multi-Dimensional Coupled Nonlinear Schrodinger Equations under Harmonic Potentials
- One-Dimensional Asymmetric Exclusion Model with Open Boundaries
- Integrable Dynamics of Discrete Surfaces II
- Integrable Dynamics of Discrete Surfaces
- Correspondence between QISM and Exchange Operator Formalism
- Motion of Discrete Curves in the Plane
- Motion of Discrete Surfaces
- Thermal Bethe Ansatz and Fractional Statistics
- Fracture Dynamics by Quenching.I.Crack Patterns
- A New Approach to Noncommutative Soliton Equations(General)
- Deformation of Solitons in Random Media
- Inhomogenious Model for DNA Dynamics
- Exact Spectrum and Partition Function of SU (mn) Supersymmetric Polychronakos Model
- A New Approach to Quantum Spin Chains at Finite Temperature
- The Quantum Calogero Model and the W-Algebra
- Rodrigues Formula for Hi-Jack Symmetric Polynomials Associated with the Quantum Calogero Model
- Correlation Length for the XXZ Spin Chain at Finite Temperature
- Davey-Stewartson Equation and Properties of Dromion
- Solutions of the Yang-Yang Integral Equation at Zero-Temperature
- Crystallization of the Bogoyavlensky Lattice
- Eigenvalue Distribution of Random Matrices at the Spectrum Edge
- Level Spacing Distributions of Random Matrix Ensembles
- Correlation Functions for Jastrow-Product Wave Functions
- Level Statistics of Discrete Schrodinger Equations and Orthogonal Polynomials
- Ergodicity of Random Matrix Ensembles Related to Orthogonal Polynomials
- Correlation Functions of Random Matrix Ensembles Related to Classical Orthogonal Polynomials. III
- An Integration Method on Generalized Circular Ensembles
- Correlation Functions of Random Matrix Ensembles Related to Classical Orthogonal Polynomials. II
- Correlation Functions of Random Matrix Ensembles Related Classical to Orthogonal Polynomials
- Thermodynamics of Particle Systems Related to Random Matrices
- Bethe Ansatz Equation for the Hubbard Model with Boundary Fields
- Lax Pair for the Hubbard Model from the Yang-Baxter Relation
- Propagation of Solitons in Random Lattices
- A Coupled Nonlinear Schrodinger Equation and Optical Solitons
- The Unstable Nonlinear Schrodinger Equation and Dark Solitons
- Scattering of Envelope Solitons by a Mass Impurity in Nonlinear Lattices
- Nonlinear Waves in Inhomogeneous Lattices
- Soliton Transmission and Reflection in Discontinuous Media
- The Rayleigh-Taylor Instability and Nonlinear Waves
- Orthogonal Symmetric Polynomials Associated with the Quantum Calogero Model
- Algebraic Construction of a New Symmetric Orthogonal Basis for the Calogero Model
- Exclusion Statistical TBA and the Quantum Calogero Model
- The SU(ν) Quantum Calogero Model and W_∞ Algebra with SU(ν) Symmetry
- Algebraic Construction of the Eigenstates for the Second Conserved Operator of the Quantum Calogero Model
- Exclusion Statistics Interpretation of the Quantum Calogero Model
- Conserved Operators in Calogero-Moser Spin System
- Construction of Integrable Spin Systems with Long-Range Interactions
- Integral Solution of Trigonometric Knizhnik-Zamolodchikov Equation; Off-Shell Bethe Ansatz Method
- Classical Calogero Model and Matrix Model
- Infinite Symmetry of the Spin Systems with Inverse Square Interactions
- Noncommutative Extension of α^^--Dressing Method
- Superfluid-Mott Insulator Transition of Spinor Bose Gases with External Magnetic Fields (General)
- Free Fall of Atomic Laser Beam with Weak Inter-Atomic Interaction : General Physics
- Gauge Transformations among Generalised Nonlinear Schrodinger Equations
- Dynamics of Breather Modes in a Nonlinear Model of DNA with Discontinuity
- Integrable Multi-Component Hybrid Nonlinear Schrodinger Equations
- Nonlinear Refraction and Reflection of Line Soliton Due to a Discontinuity