Random Matrices and the Statistical Theory of Energy Levels:
Random Matrices and the Statistical Theory of Energy Levels focuses on the processes, methodologies, calculations, and approaches involved in random matrices and the statistical theory of energy levels, including ensembles and density and correlation functions. The publication first elaborates on th...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Kent
Elsevier Science
2014
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| Schlagworte: | |
| Online-Zugang: | FAW01 |
| Zusammenfassung: | Random Matrices and the Statistical Theory of Energy Levels focuses on the processes, methodologies, calculations, and approaches involved in random matrices and the statistical theory of energy levels, including ensembles and density and correlation functions. The publication first elaborates on the joint probability density function for the matrix elements and eigenvalues, including the Gaussian unitary, symplectic, and orthogonal ensembles and time-reversal invariance. The text then examines the Gaussian ensembles, as well as the asymptotic formula for the level density and partition function. The manuscript elaborates on the Brownian motion model, circuit ensembles, correlation functions, thermodynamics, and spacing distribution of circular ensembles. Topics include continuum model for the spacing distribution, thermodynamic quantities, joint probability density function for the eigenvalues, stationary and nonstationary ensembles, and ensemble averages. The publication then examines the joint probability density functions for two nearby spacings and invariance hypothesis and matrix element correlations.The text is a valuable source of data for researchers interested in random matrices and the statistical theory of energy levels |
| Beschreibung: | Description based on publisher supplied metadata and other sources |
| Beschreibung: | 1 online resource (270 pages) |
| ISBN: | 9781483258560 9781483232584 |
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Datensatz im Suchindex
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| dewey-ones | 530 - Physics |
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| discipline | Physik |
| format | Electronic eBook |
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| id | DE-604.BV043616849 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:30:55Z |
| institution | BVB |
| isbn | 9781483258560 9781483232584 |
| language | English |
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| physical | 1 online resource (270 pages) |
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| publishDate | 2014 |
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| spelling | Mehta, M. L. Verfasser aut Random Matrices and the Statistical Theory of Energy Levels Kent Elsevier Science 2014 © 1967 1 online resource (270 pages) txt rdacontent c rdamedia cr rdacarrier Description based on publisher supplied metadata and other sources Random Matrices and the Statistical Theory of Energy Levels focuses on the processes, methodologies, calculations, and approaches involved in random matrices and the statistical theory of energy levels, including ensembles and density and correlation functions. The publication first elaborates on the joint probability density function for the matrix elements and eigenvalues, including the Gaussian unitary, symplectic, and orthogonal ensembles and time-reversal invariance. The text then examines the Gaussian ensembles, as well as the asymptotic formula for the level density and partition function. The manuscript elaborates on the Brownian motion model, circuit ensembles, correlation functions, thermodynamics, and spacing distribution of circular ensembles. Topics include continuum model for the spacing distribution, thermodynamic quantities, joint probability density function for the eigenvalues, stationary and nonstationary ensembles, and ensemble averages. The publication then examines the joint probability density functions for two nearby spacings and invariance hypothesis and matrix element correlations.The text is a valuable source of data for researchers interested in random matrices and the statistical theory of energy levels Energy levels (Quantum mechanics) Matrices Statistical mechanics Stochastische Matrix (DE-588)4057624-3 gnd rswk-swf Stochastische Matrix (DE-588)4057624-3 s 1\p DE-604 Erscheint auch als Druck-Ausgabe Mehta, M L.. Random Matrices and the Statistical Theory of Energy Levels 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Mehta, M. L. Random Matrices and the Statistical Theory of Energy Levels Energy levels (Quantum mechanics) Matrices Statistical mechanics Stochastische Matrix (DE-588)4057624-3 gnd |
| subject_GND | (DE-588)4057624-3 |
| title | Random Matrices and the Statistical Theory of Energy Levels |
| title_auth | Random Matrices and the Statistical Theory of Energy Levels |
| title_exact_search | Random Matrices and the Statistical Theory of Energy Levels |
| title_full | Random Matrices and the Statistical Theory of Energy Levels |
| title_fullStr | Random Matrices and the Statistical Theory of Energy Levels |
| title_full_unstemmed | Random Matrices and the Statistical Theory of Energy Levels |
| title_short | Random Matrices and the Statistical Theory of Energy Levels |
| title_sort | random matrices and the statistical theory of energy levels |
| topic | Energy levels (Quantum mechanics) Matrices Statistical mechanics Stochastische Matrix (DE-588)4057624-3 gnd |
| topic_facet | Energy levels (Quantum mechanics) Matrices Statistical mechanics Stochastische Matrix |
| work_keys_str_mv | AT mehtaml randommatricesandthestatisticaltheoryofenergylevels |