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Random matrices /
Since the publication of Random Matrices (Academic Press, 1967) so many new results have emerged both in theory and in applications, that this edition is almost completely revised to reflect the developments. For example, the theory of matrices with quaternion elements was developed to compute certa...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Boston :
Academic Press,
�1991.
|
| Edición: | Revised and enlarged second edition. |
| Colección: | Pure and Applied Mathematics.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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|---|---|---|---|
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| 003 | OCoLC | ||
| 005 | 20231120111752.0 | ||
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| 008 | 141003s1991 maua ob 001 0 eng d | ||
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| 019 | |a 898422477 | ||
| 020 | |a 9781483295954 |q (electronic bk.) | ||
| 020 | |a 1483295958 |q (electronic bk.) | ||
| 020 | |z 0124880517 | ||
| 020 | |z 9780124880511 | ||
| 035 | |a (OCoLC)892067473 |z (OCoLC)898422477 | ||
| 050 | 4 | |a QC174.45 |b .M444 1991eb | |
| 072 | 7 | |a SCI |x 024000 |2 bisacsh | |
| 072 | 7 | |a SCI |x 041000 |2 bisacsh | |
| 072 | 7 | |a SCI |x 055000 |2 bisacsh | |
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| 100 | 1 | |a Mehta, M. L. | |
| 245 | 1 | 0 | |a Random matrices / |c Madan Lal Mehta. |
| 250 | |a Revised and enlarged second edition. | ||
| 264 | 1 | |a Boston : |b Academic Press, |c �1991. | |
| 300 | |a 1 online resource (xviii, 562 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Pure and Applied Mathematics | |
| 504 | |a Includes bibliographical references (pages 545-554) and indexes. | ||
| 520 | |a Since the publication of Random Matrices (Academic Press, 1967) so many new results have emerged both in theory and in applications, that this edition is almost completely revised to reflect the developments. For example, the theory of matrices with quaternion elements was developed to compute certain multiple integrals, and the inverse scattering theory was used to derive asymptotic results. The discovery of Selberg's 1944 paper on a multiple integral also gave rise to hundreds of recent publications. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Front Cover; Random Matrices: Revised and Enlarged; Copyright Page; Table of Contents; Preface to the Second Edition; Acknowledgments; Preface to the First Edition; Chapter 1. Introduction; 1.1. Random Matrices in Nuclear Physics; 1.2. Random Matrices in Other Branches of Knowledge; 1.3. A Summary of Statistical Facts about Nuclear Energy Levels; 1.4. Definition of a Suitable Function for the Study of Level Correlations; 1.5. Wigner Surmise; 1.6. Electromagnetic Properties of Small Metallic Particles; 1.7. Analysis of Experimental Nuclear Levels; 1.8. The Zeros of the Riemann Zeta Function. | |
| 505 | 8 | |a 1.9. Things Worth Consideration, but Not Treated in This BookChapter 2. Gaussian Ensembles. The Joint Probability Density Function for the Matrix Elements; 2.1. Preliminaries; 2.2. Time-Reversal Invariance; 2.3. Gaussian Orthogonal Ensemble; 2.4. Gaussian Symplectic Ensemble; 2.5. Gaussian Unitary Ensemble; 2.6. Joint Probability Density Function for Matrix Elements; 2.7. Another Gaussian Ensemble of Hermitian Matrices; 2.8. Antisymmetric Hermitian Matrices; Summary of Chapter 2; Chapter 3. Gaussian Ensembles. The Joint Probability Density Function for the Eigenvalues. | |
| 505 | 8 | |a 3.1. Orthogonal Ensemble3.2. Symplectic Ensemble; 3.3. Unitary Ensemble; 3.4. Ensemble of Antisymmetric Hermitian Matrices; 3.5. Another Gaussian Ensemble of Hermitian Matrices; 3.6. Random Matrices and Information Theory; Summary of Chapter 3; Chapter 4. Gaussian Ensembles. Level Density; 4.1. The Partition Function; 4.2. The Asymptotic Formula for the Level Density. Gaussian Ensembles; 4-3. The Asymptotic Formula for the Level Density. Other Ensembles; Summary of Chapter 4; Chapter 5. Gaussian Unitary Ensemble; 5.1. Generalities; 5.2. The n-Point Correlation Function; 5.3. Level Spacings. | |
| 505 | 8 | |a 5.4. Several Consecutive Spacings5.5. Some Remarks; Summary of Chapter 5; Chapter 6. Gaussian Orthogonal Ensemble; 6.1. Generalities; 6.2. Quaternion Matrices; 6.3. The Probability Density Function as a Quaternion Determinant; 6.4. The Correlation and Cluster Functions; 6.5. Level Spacings. Integration over Alternate Variables; 6.6. Several Consecutive Spacings: n = 2r; 6.7. Several Consecutive Spacings: n = 2r -- 1; 6.8. Bounds for the Distribution Function of the Spacings; Summary of Chapter 6; Chapter 7. Gaussian Symplectic Ensemble; 7.1. A Quaternion Determinant. | |
| 505 | 8 | |a 7.2. Correlation and Cluster Functions7.3. Level Spacings; Summary of Chapter 7; Chapter 8. Gaussian Ensembles: Brownian Motion Model; 8.1. Stationary Ensembles; 8.2. Nonstationary Ensembles; 8.3. Some Ensemble Averages; Summary of Chapter 8; Chapter 9. Circular Ensembles; 9.1. The Orthogonal Ensemble; 9.2. Symplectic Ensemble; 9.3. Unitary Ensemble; 9.4. The Joint Probability Density Function for the Eigenvalues; Summary of Chapter 9; Chapter 10. Circular Ensembles (Continued); 10.1. Unitary Ensemble. Correlation and Cluster Functions; 10.2. Unitary Ensemble. Level Spacings. | |
| 650 | 0 | |a Energy levels (Quantum mechanics) |x Statistical methods. | |
| 650 | 0 | |a Random matrices. | |
| 650 | 6 | |a Niveaux d'�energie (M�ecanique quantique) |0 (CaQQLa)201-0011955 |x M�ethodes statistiques. |0 (CaQQLa)201-0373903 | |
| 650 | 6 | |a Matrices al�eatoires. |0 (CaQQLa)201-0148338 | |
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| 650 | 7 | |a SCIENCE |x Mechanics |x General. |2 bisacsh | |
| 650 | 7 | |a SCIENCE |x Physics |x General. |2 bisacsh | |
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| 650 | 7 | |a Random matrices |2 fast |0 (OCoLC)fst01089803 | |
| 650 | 7 | |a Energieniveau |2 gnd |0 (DE-588)4152225-4 | |
| 650 | 7 | |a Quantenmechanik |2 gnd |0 (DE-588)4047989-4 | |
| 650 | 7 | |a Stochastische Matrix |2 gnd |0 (DE-588)4057624-3 | |
| 650 | 7 | |a Matrices al�eatoires. |2 ram | |
| 650 | 7 | |a Matrices, M�ecanique des |x Mod�eles math�ematiques. |2 ram | |
| 650 | 7 | |a Perturbation (th�eorie quantique) |2 ram | |
| 650 | 7 | |a Niveaux d'�energie (th�eorie quantique) |x M�ethodes statistiques. |2 ram | |
| 776 | 0 | 8 | |i Print version: |a Mehta, M.L. |t Random matrices. |b Revised and enlarged second edition |z 0124880517 |w (DLC) 90000257 |w (OCoLC)21197384 |
| 830 | 0 | |a Pure and Applied Mathematics. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780124880511 |z Texto completo |