DMCA. Copyrighted Work that you can Claim.
Base have 87 558 books.
Search: 


📙 Supersymmetry and Trace Formulae: Chaos and Disorder by J. P. Keating (auth.), Igor V. Lerner, Jonathan P. Keating, David E. Khmelnitskii (eds.) — free download


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.



About book:

About file:

  • File size: 14 934 260
  • Format: pdf


Security code:
Download button

Similar books results


Quantum chaos
Quantum chaos download pdf by Stoeckmann H.-J.

This volume provides a comprehensive and highly accessible introduction to quantum chaos. It emphasizes both the experimental and theoretical aspects of quantum chaos, and includes a discussion of supersymmetry techniques. Theoretical concepts are develo...

Spinning Particles - Semiclassics and Spectral Statistics
Spinning Particles - Semiclassics and Spectral Statistics free download by Stefan Keppeler

The book deals with semiclassical methods for systems with spin, in particular methods involving trace formulae and torus quantisation and their applications in the theory of quantum chaos, e.g. the characterisation of spectral correlations. The theoretic...

The Trace Formula and Base Change for GL (3)

Inequalities: A Journey into Linear Analysis
Inequalities: A Journey into Linear Analysis free pdf by Garling D.J.H.

Contains a wealth of inequalities used in linear analysis, and explains in detail how they are used. The book begins with Cauchy's inequality and ends with Grothendieck's inequality, in between one finds the Loomis-Whitney inequality, maximal inequalities...

The Selberg Trace Formula for PSL(2,R) (volume 2)

The Heat Kernel and Theta Inversion on SL2(C)
The Heat Kernel and Theta Inversion on SL2(C) epub download by Jay Jorgenson, Serge Lang (auth.)

The present monograph develops the fundamental ideas and results surrounding heat kernels, spectral theory, and regularized traces associated to the full modular group acting on SL2(C). The authors begin with the realization of the heat kernel on SL2(C) t...

Functional analysis
Functional analysis free download by Peter D. Lax

Includes sections on the spectral resolution and spectral representation of self adjoint operators, invariant subspaces, strongly continuous one-parameter semigroups, the index of operators, the trace formula of Lidskii, the Fredholm determinant, and more...

Mathematical Methods in Systems, Optimization, and Control: Festschrift in Honor of J. William Helton
Mathematical Methods in Systems, Optimization, and Control: Festschrift in Honor of J. William Helton free pdf by Harry Dym, Mauricio C. de Oliveira, Mihai Putinar (auth.), Harry Dym, Mauricio C. de Oliveira, Mihai Putinar (eds.)

This volume is dedicated to Bill Helton on the occasion of his sixty fifth birthday. It contains biographical material, a list of Bill's publications, a detailed survey of Bill's contributions to operator theory, optimization and control and 19 technical ...

Number Theory, Trace Formulas and Discrete Groups. Symposium in Honor of Atle Selberg, Oslo, Norway, July 14–21, 1987

Stem Cells And Myocardial Regeneration
Stem Cells And Myocardial Regeneration download pdf by Marc S. Penn

Stem Cells and Myocardial Regeneration is a comprehensive bench to bedside examination of stem cell-based therapies for cardiac dysfunction. The contributors, all leading researchers in their area of expertise, explore recent advances in the labor...

Stem Cells and Cancer
Stem Cells and Cancer free epub by Kimberly E. Foreman, Paola Rizzo, Clodia Osipo, Lucio Miele (auth.), Beverly A. Teicher, Rebecca G. Bagley (eds.)

Significance of Stem Cells to Tumor DevelopmentCancer stem cells remain a controversial topic and the criteria that define cancer stem cells are continuing to evolve. A recent surge in stem cell research has ignited a field of discovery into many human di...

Steels: Processing, Structure, And Performance

Stem Cell Wars: Inside Stories from the Frontlines
Stem Cell Wars: Inside Stories from the Frontlines free download by Eve Herold, George Daley

Americans have become the victims of misinformation about stem cell research. Over the last few years, the stem cell debate has been intensely political, religious, and confusing to many people. Now, Eve Herold explains what this science is all abou...

Stein On Writing: A Master Editor of Some of the Most Successful Writers of Our Century Shares His Craft Techniques and Strategies
Stein On Writing: A Master Editor of Some of the Most Successful Writers of Our Century Shares His Craft Techniques and Strategies download pdf by Sol Stein, David Stanford Burr, Pei Loi Koay

Your future as a writer is in your hands. Whether you are a newcomer or an accomplished professional, a novelist, story writer, or a writer of nonfiction, you will find this book a wealth of immediately useful guidance not available anywhere else. As Sol ...

Stellarator physics : proceedings of the seventh International Workshop on Stellarators

Stem Cells and their Potential for Clinical Application
Stem Cells and their Potential for Clinical Application download pdf by Gottfried von Keudell, Kerstin Cornils, Anita Badbaran, Claudia Lange, Dr. Boris Fehse (auth.), Dr. Nadja M. Bilko, Dr. Boris Fehse, Dr. Wolfram Ostertag, Dr. Carol Stocking, Dr. Axel R. Zander (eds.)

This publication was initiated on the occasion of the NATO-Advanced Study Institute (ASI) meeting “Stem Cells and their potential for clinical application” which took place from August 23 – 25, 2006 in Kyiv and from August 26 – 31, 2006 in Simeiz, Ukraine...

Stem Cell Protocols
Stem Cell Protocols free pdf by Ivan N. Rich (eds.)

This volumepresents up-to-date methods that allow primary stem cells from a variety of sources to be isolated, cultured in vitro, detected and measured for specific applications. These applications range from those in basic, stem cell and veterinary resea...

Stem Cells and Good Manufacturing Practices: Methods, Protocols, and Regulations
Stem Cells and Good Manufacturing Practices: Methods, Protocols, and Regulations free pdf by Kursad Turksen (eds.)

This volume collects a series of protocols describing the kinds of infrastructures, training, and standard operating procedures currently available to actualize the potential of stem cells for regenerative therapies. Stem Cells and Good Manufacturing Prac...

Steel Concrete Composite Bridges
Steel Concrete Composite Bridges free pdf by Collings, David

"Steel-concrete composite bridges outlines the various forms that modern steel-concrete composite bridges take, from simple beam bridges through to arches and trusses and modern cable-stay forms. The author brings together a wide variety of steel-concrete...