Special matrices of mathematical physics : stochastic, circulant, and Bell matrices (電子書, 2001) [WorldCat.org]
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Special matrices of mathematical physics : stochastic, circulant, and Bell matrices

作者: R Aldrovandi
出版商: Singapore ; River Edge, N.J. : World Scientific, ©2001.
版本/格式:   電子書 : 文獻 : 英語所有版本和格式的總覽
提要:
This work expounds three special kinds of matrices that are of physical interest, centring on physical examples. Stochastic matrices describe dynamical systems of many different types, involving (or not) phenomena like transience, dissipation, ergodicity, non-equilibrium, and hypersensitivity to initial conditions. The main characteristic is growth by agglomeration, as in glass formation. Circulants are the building  再讀一些...
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詳細書目

類型/形式: Electronic books
其他的實體格式: Print version:
Aldrovandi, R. (Ruben).
Special matrices of mathematical physics.
Singapore ; River Edge, N.J. : World Scientific, ©2001
(DLC) 2001026864
資料類型: 文獻, 網際網路資源
文件類型 網際網路資源, 電腦檔案
所有的作者/貢獻者: R Aldrovandi
ISBN: 9789812799838 9812799834 1281951390 9781281951397
OCLC系統控制編碼: 505150634
描述: 1 online resource (xv, 323 pages)
内容: Ch. 1. Some fundamental notions. 1.1. Definitions. 1.2. Components of a matrix. 1.3. Matrix functions. 1.4. Normal matrices --
ch. 2. Evolving systems --
ch. 3. Markov chains. 3.1. Non-negative matrices. 3.2. General properties --
ch. 4. Glass transition --
ch. 5. The Kerner model. 5.1. A simple example: Se-As glass --
ch. 6. Formal developments. 6.1. Spectral aspects. 6.2. Reducibility and regularity. 6.3. Projectors and asymptotics. 6.4. Continuum time --
ch. 7. Equilibrium, dissipation and ergodicity. 7.1. Recurrence, transience and periodicity. 7.2. Detailed balancing and reversibility. 7.3. Ergodicity --
ch. 8. Prelude --
ch. 9. Definition and main properties. 9.1. Bases. 9.2. Double Fourier transform. 9.3. Random walks --
ch. 10. Discrete quantum mechanics. 10.1. Introduction. 10.2. Weyl-Heisenberg groups. 10.3. Weyl-Wigner transformations. 10.4. Braiding and quantum groups --
ch. 11. Quantum symplectic structure. 11.1. Matrix differential geometry. 11.2. The symplectic form. 11.3. The quantum fabric --
ch. 12. An organizing tool --
ch. 13. Bell polynomials. 13.1. Definition and elementary properties. 13.2. The matrix representation. 13.3. The Lagrange inversion formula. 13.4. Developments --
ch. 14. Determinants and traces. 14.1. Introduction. 14.2. Symmetric functions. 14.3. Polynomials. 14.4. Characteristic polynomials. 14.5. Lie algebras invariants --
ch. 15. Projectors and iterates. 15.1. Projectors, revisited. 15.2. Continuous iterates --
ch. 16. Gases: real and ideal. 16.1. Microcanonical ensemble. 16.2. The canonical ensemble. 16.3. The grand canonical ensemble. 16.4. Braid statistics. 16.5. Condensation theories. 16.6. The Fredholm formalism.
責任: R. Aldrovandi.

摘要:

This work expounds three special kinds of matrices that are of physical interest, centring on physical examples: stochastic matrices, circulant matrices, and bell matrices.  再讀一些...

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