Averaged Eigenvalue Spectrum of Large Symmetric Random Matrix
スポンサーリンク
概要
- 論文の詳細を見る
The averaged eigenvalue spectrum of a large symmetric random matrix, inwhich each element is an independent random variable with the Gaussian distribu-tion, is calculated by using the diagram technique. Compared with the methodsused by Edwards and Jones and by Mehta, the present method is very simpleand can be used in other calculations.Leading terms in N (the dimension of the matrix) and next leading terms arecalculated exactly. It is shown that the term proportional to N gives the semi-circular law obtained by Edwards and Jones. Next leading terms, which is of theorder of unity, give three J-functions as well as the corrections to the semi-circularlaw. One of the three d-functions is the same as that of Edwards and Jones andother two are located at the band edges of the semi-circular law. The physicalmeanings of these results are discussed.
- 社団法人日本物理学会の論文
- 1984-09-15
著者
-
Takano Fumihiko
Institute Of Physics Tokyo University Of Education
-
Takano Fumihiko
Institute Of Physics University Of Tsukuba
-
TAKANO Hiroshi
Department of Physics,Keio University
-
Takano Fumihiko
Institute Of Physics The University Of Tsukuba
-
Takano Hiroshi
Department Of Cardiovascular Surgery Osaka Police Hospital
-
Takano Hiroshi
Department Of Applied Physics Osaka University
関連論文
- Averaged Eigenvalue Spectrum of Large Symmetric Random Matrix
- Magnetism of d-Electron System with Orbital Degeneracy ; Constant Coupling Approximation for Inagaki's Model
- Long-Time Spin Relaxation in Zero-Field
- Controlling Visually Induced Self-Motion Perception: Effect of Overlapping Dynamic Visual Noise
- Newly synthesized curcumin analog has improved potential to prevent colorectal carcinogenesis in vivo
- Notes on Fermi and Bose Statistics
- O^6 -Methylguanine-DNA Methyltransferase (MGMT) as a Determinant of Resistance to Camptothecin Derivatives
- Large Vessel-Sternum Adhesion After Cardiac Surgery ; A Risk-Factor Analysis
- Paraplegia and Paraparesis after Descending Thoracic Aortic Aneurysm Repair : A Risk Factor Analysis
- Subdural Hematoma Induced by Cerebrospinal Fluid Drainage : Potentially Catastrophic Complication of Spinal Cord Protection after Thoracoabdominal Aneurysm Repair
- Delayed Chronic Type A Dissection with a Functional Midline Crossing Right Internal Thoracic Artery after CABG : Surgical Approach to an Ascending Aorta without Dissecting the Midline Crossing Internal Thoracic Artery
- Spin Wave Theory of the Spin 1/2 XY Model
- Phase Diagram of Mixed Pyrite Compounds in Nickel Rich Region
- Derivation of the Cocycle Factor of Vertex in Closed Bosonic String Field Theory on Torus : Particles and Fields
- Right Heart Failure Secondary to Valvular Heart Disease : Surgical Strategies Depending on the Preoperative Assessment of Congestive Liver Dysfunction(Diagnosis and Treatment of Valvular Heart Disease-Multidiciplinary Treatment of the Patients who Suffer
- Magnetic Structure at Ground State of Hubbard Model
- Relaxation Mode Analysis of a Single Polymer Chain in a Melt
- Relaxation of a Single Polymer Chain Trapped in an Array of Obstacles in Two Dimensions
- Molecular Dynamics Study of Relaxation Modes of a Single Polymer Chain
- Monte Carlo Study of Relaxation Modes of a Single Polymer Chain
- Relaxation Modes in Random Spin Systems
- Real-Space Renormalization Group Approach to Critical Dynamics : Migdal Approximation and Other New Methods
- Phase Transition of Random Ising Model : Comparison of Glass Like Phase and Random Ordered Phase
- Higgs as (Pseudo-) Goldstone Particles : Particles and Fields
- Phase Transition of the Sherrington-Kirkpatrick Model
- Exact Calculation of Free Energy of Sherrington-Kirkpatrick Model at High Temperatures Up to Terms of Order Unity
- Statistics of Electrical Resistance in One-Dimensional Disordered System
- Theory of Valence Tansition
- Relaxation Modes in the Two-Dimensional ±J Ising Spin Glass
- Relaxation of a Polymer Chain Confined in a Slit
- Mobilization of the Posterior Leaflet of the Mitral Valve for Resection of a Left Ventricular Tumor Producing Carbohydrate Antigen 19-9
- Second Order Optical Process of A Randomly Modulated Multi-Level Atom
- Relaxation of the Spin Autocorrelation Function in the Ising Spin Glass
- Effective Field Approximatioin for Random Ordered Phase
- Concentration Expansion for Random Ising Systems
- Phase Diagram of NiS_Se_x
- Non-Abelian Orbifolds
- EFFECT OF ULTRASONICS ON TRANSEPITHELIAL DRUG DELIVERY WITH CULTURED MONOLAYERS OF NORMAL HUMAN BRONCHIAL EPITHELIUM
- Relaxation Modes and Rates of a Single Polymer Chain in a Periodic Array of Obstacles
- Order Parameter and Finite-Size Scaling : Condensed Matter and Statistical Physics
- Relaxation of a Polymer Chain Confined in a Tube
- Zero Mode and Modular Invariance in String on Non-Abelian Orbifold : Particles and Fields
- On Monte Carlo Methods for the Kinetic Ising Model
- Real-Space Renormalization Group Approach to the Kinetic Ising Model
- Dynamical Nature of the Phase Transition of the Two-Dimensional Kinetic Ising Model : Condensed Matter and Statistical Physics
- Modified Loop Technique in Three Dogs with Mitral Regurgitation
- Relaxation of the Spin Autocorrelation Function in the Kinetic Ising Model with Bond Dilution
- Monte Carlo Method for Quantum Spin Systems Based on the Bloch Coherent State Representation : Condensed Matter and Statistical Physics
- Finite-Size Scaling Approach to the Kinetic Ising Model
- Non-Equilibrium Critical Dynamics of the Kinetic Baxter Model