Name: Supersymmetry and Trace Formulae: Chaos and Disorder (en Inglés)
Price: 455128.00 COP
Availability: InStock
Author: Lerner, Igor V. ; Keating, Jonathan P. ; Khmelnitskii, David E.
ISBN: 9781461372127

portada Supersymmetry and Trace Formulae: Chaos and Disorder (en Inglés)

Supersymmetry and Trace Formulae: Chaos and Disorder (en Inglés)

Formato

Libro Físico

Editorial

Springer

Autor

Lerner, Igor V. ; Keating, Jonathan P. ; Khmelnitskii, David E.

Idioma

Inglés

N° páginas

404

Encuadernación

Tapa Blanda

Dimensiones

25.4 x 17.8 x 2.2 cm

Peso

0.73 kg.

ISBN13

9781461372127

Categorías

Teoría del caos
Física matemática
Jardinería

Supersymmetry and Trace Formulae: Chaos and Disorder (en Inglés)

Lerner, Igor V. ; Keating, Jonathan P. ; Khmelnitskii, David E. (Autor) · Springer · Tapa Blanda

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Reseña del libro "Supersymmetry and Trace Formulae: Chaos and Disorder (en Inglés)"

The motion of a particle in a random potential in two or more dimensions is chaotic, and the trajectories in deterministically chaotic systems are effectively random. It is therefore no surprise that there are links between the quantum properties of disordered systems and those of simple chaotic systems. The question is, how deep do the connec- tions go? And to what extent do the mathematical techniques designed to understand one problem lead to new insights into the other? The canonical problem in the theory of disordered mesoscopic systems is that of a particle moving in a random array of scatterers. The aim is to calculate the statistical properties of, for example, the quantum energy levels, wavefunctions, and conductance fluctuations by averaging over different arrays; that is, by averaging over an ensemble of different realizations of the random potential. In some regimes, corresponding to energy scales that are large compared to the mean level spacing, this can be done using diagrammatic perturbation theory. In others, where the discreteness of the quantum spectrum becomes important, such an approach fails. A more powerful method, devel- oped by Efetov, involves representing correlation functions in terms of a supersymmetric nonlinear sigma-model. This applies over a wider range of energy scales, covering both the perturbative and non-perturbative regimes. It was proved using this method that energy level correlations in disordered systems coincide with those of random matrix theory when the dimensionless conductance tends to infinity.