Special Matrices Of Mathematical Physics: Stochastic, Circulant And Bell MatricesWorld Scientific, 2001 M08 17 - 340 páginas This book expounds three special kinds of matrices that are of physical interest, centering on physical examples. Stochastic matrices describe dynamical systems of many different types, involving (or not) phenomena like transience, dissipation, ergodicity, nonequilibrium, and hypersensitivity to initial conditions. The main characteristic is growth by agglomeration, as in glass formation. Circulants are the building blocks of elementary Fourier analysis and provide a natural gateway to quantum mechanics and noncommutative geometry. Bell polynomials offer closed expressions for many formulas concerning Lie algebra invariants, differential geometry and real gases, and their matrices are instrumental in the study of chaotic mappings. |
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... 4 ( 1 - c ) 2 e - 2n x + y 12 c ( 1 - c ) e ̄n - a 2 y 9 c2 e - 2α X 2 ( 1 - c ) e ̄n Z y World Scientific 3 ce - a SPECIAL MATRICES OF MATHEMATICAL PHYSICS STOCHASTIC , CIRCULANT AND BELL. SPECIAL MATRICES OF Front Cover.
... 4 ( 1 - c ) 2 e - 2n x + y 12 c ( 1 - c ) e ̄n - a 2 y 9 c2 e - 2α X 2 ( 1 - c ) e ̄n Z y World Scientific 3 ce - a SPECIAL MATRICES OF MATHEMATICAL PHYSICS STOCHASTIC , CIRCULANT AND BELL. SPECIAL MATRICES OF Front Cover.
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Ruben Aldrovandi. SPECIAL MATRICES OF MATHEMATICAL PHYSICS STOCHASTIC , CIRCULANT AND BELL MATRICES This page is intentionally left blank SPECIAL MATRICES OF MATHEMATICAL.
Ruben Aldrovandi. SPECIAL MATRICES OF MATHEMATICAL PHYSICS STOCHASTIC , CIRCULANT AND BELL MATRICES This page is intentionally left blank SPECIAL MATRICES OF MATHEMATICAL.
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Ruben Aldrovandi. SPECIAL MATRICES OF MATHEMATICAL PHYSICS STOCHASTIC , CIRCULANT AND BELL MATRICES R. ALDROVANDI Instituto de Física Teórica State University of São Paulo – UNESP Brazil World Scientific Singapore New Jersey London⚫Hong ...
Ruben Aldrovandi. SPECIAL MATRICES OF MATHEMATICAL PHYSICS STOCHASTIC , CIRCULANT AND BELL MATRICES R. ALDROVANDI Instituto de Física Teórica State University of São Paulo – UNESP Brazil World Scientific Singapore New Jersey London⚫Hong ...
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... matrices of mathematical physics : stochastic , circulant and Bell matrices / R. Aldrovandi . p . cm . Includes bibliographical references and index . ISBN 9810247087 ( alk . paper ) 1. Matrices . 2. Mathematical physics . I. Title ...
... matrices of mathematical physics : stochastic , circulant and Bell matrices / R. Aldrovandi . p . cm . Includes bibliographical references and index . ISBN 9810247087 ( alk . paper ) 1. Matrices . 2. Mathematical physics . I. Title ...
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... matrices have made their definitive , triumphant entrance in Physics with the advent of Quantum Mechanics . Only then have they shown them- selves as unavoidable , essential tools to the understanding of the basic ways of Nature . It is ...
... matrices have made their definitive , triumphant entrance in Physics with the advent of Quantum Mechanics . Only then have they shown them- selves as unavoidable , essential tools to the understanding of the basic ways of Nature . It is ...
Contenido
19 | |
CIRCULANT MATRICES | 79 |
BELL MATRICES | 147 |
Appendix A Formulary | 283 |
Bibliography | 309 |
Index | 315 |
Otras ediciones - Ver todas
Special Matrices of Mathematical Physics: Stochastic, Circulant, and Bell ... Ruben Aldrovandi Vista previa limitada - 2001 |
Special Matrices of Mathematical Physics: Stochastic, Circulant, and Bell ... Ruben Aldrovandi Vista previa limitada - 2001 |
Términos y frases comunes
alphabet basis Bell matrices Bell polynomials braid group canonical partition function characteristic polynomial circulant matrices circulant matrix classical cluster integrals column commutative components condition consequently continuum convolution corresponding cyclic defined derivative detailed balancing diagonal differential discrete distribution dynamical eigenvalues eigenvectors entries ep+1 equation equilibrium evolution example factor fermions finite formalism formula Fourier transformations Fredholm geometry given glass grand canonical partition Hamiltonian Hopf algebras identity imprimitive invariant inverse irreducible iterate leads Lie algebra Markov chain noncommutative notation obtained operator particles permutation phase space Phys physical Poisson bracket powers projectors properties QN(B Quantum Mechanics recursion representation Statistical Mechanics stochastic matrix summation symmetric functions symmetric group symplectic Taylor coefficients theorem theory totally regular unitary values variables vector virial Weyl-Wigner Wigner functions Σ Σ