Tag: Quantum

Multiscale Methods in Quantum Mechanics Theory and Experiment


Free Download Multiscale Methods in Quantum Mechanics: Theory and Experiment by Philippe Blanchard, Gianfausto Dell’Antonio
English | PDF | 2004 | 223 Pages | ISBN : 0817632565 | 21 MB
In the last few years, multiscale methods have lead to spectacular progress in our understanding of complex physical systems and have stimulated the development of very refined mathematical techniques. At the same time on the experimental side, equally spectacular progress has been made in developing experimental machinery and techniques to test the foundations of quantum mechanics. In view of this progress, this volume is very timely; it is the first text totally devoted to multiscale methods as applied to various areas of physics and to the relative developments in mathematics.

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Lectures on Quantum Groups, Second Edition (2010 re-issue)


Free Download Lectures on Quantum Groups, Second Edition (2010 re-issue) By Pavel Etingof, Olivier Schiffmann
2010 | 256 Pages | ISBN: 1571462074 | DJVU | 3 MB
Revised second edition. The text covers the material presented for a graduate-level course on quantum groups at Harvard University. Covered topics include: Poisson algebras and quantization, Poisson-Lie groups, coboundary Lie bialgebras, Drinfelds double construction, Belavin-Drinfeld classification, Infinite dimensional Lie bialgebras, Hopf algebras, Quantized universal enveloping algebras, formal groups and h-formal groups, infinite dimensional quantum groups, the quantum double, tensor categories and quasi Hopf-algebras, braided tensor categories, KZ equations and the Drinfeld Category, Quasi-Hpf enveloping algebras, Lie associators, Fiber functors and Tannaka-Driein duality, Quantization of finite Lie bialgebras, Universal constructions, Universal quantization, Dequantization and the equivalence theorem, KZ associator and multiple zeta functions, and Mondoromy of trigonometric KZ equations. Probems are given with each subject and an answer key is included. New paperback re-issue of the revised second edition.

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Classical Nonintegrability, Quantum Chaos


Free Download Classical Nonintegrability, Quantum Chaos by Andreas Knauf , Yakov G. Sinai , Viviane Baladi
English | PDF | 1997 | 104 Pages | ISBN : 3764357088 | 7.6 MB
Our DMV Seminar on ‘Classical Nonintegrability, Quantum Chaos’ intended to introduce students and beginning researchers to the techniques applied in nonin tegrable classical and quantum dynamics. Several of these lectures are collected in this volume. The basic phenomenon of nonlinear dynamics is mixing in phase space, lead ing to a positive dynamical entropy and a loss of information about the initial state. The nonlinear motion in phase space gives rise to a linear action on phase space functions which in the case of iterated maps is given by a so-called transfer operator. Good mixing rates lead to a spectral gap for this operator.

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Challenging Routes In Quantum Cosmology


Free Download Challenging Routes In Quantum Cosmology by Paulo Vargas Moniz, Shahram Jalalzadeh
English | July 29, 2022 | ISBN: 9814415065 | 404 pages | MOBI | 39 Mb
Quantum cosmology has gradually emerged as the focus of devoted research, mostly within the second half of last century. As we entered the 21st century, the subject is still very much alive. The outcome of results and templates for investigation have been enlarged, some very recent and fascinating. Hence this book, where the authors bequeath some of their views, as they believe this current century is the one where quantum cosmology will be fully accomplished. Though some aspects are not discussed (namely, supersymmetry or loop structures), there are perhaps a set of challenges that in the authors’ opinion remain, some since the dawn of quantum mechanics and applications to cosmology. Others could have been selected, at the readers’ discretion and opinion. The authors put herewith a chart and directions to explore, some of which they have worked on or aimed to work more, in the twilight of their current efforts. Their confidence is that someone will follow in their trails, venturing in discovering the proper answer, by being able to formulate the right questions beforehand. The authors’ shared foresight is that such discoveries, from those formulations, will be attained upon endorsing the routes within the challenges herewith indicated.

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Quantum Einstein, Bohr and the Great Debate About the Nature of Reality


Free Download Quantum : Einstein, Bohr and the Great Debate About the Nature of Reality By Manjit Kumar
2008 | 480 Pages | ISBN: 1848310293 | PDF | 3 MB
Quantum theory is weird. As Niels Bohr said, if you weren’t shocked by quantum theory, you didn’t really understand it. For most people, quantum theory is synonymous with mysterious, impenetrable science. And in fact for many years it was equally baffling for scientists themselves. In this tour de force of science history, Manjit Kumar gives a dramatic and superbly written account of this fundamental scientific revolution.

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Quantum-like Networks An Approach To Neural Behavior Through Their Mathematics And Logic


Free Download Quantum-like Networks: An Approach To Neural Behavior Through Their Mathematics And Logic by Stephen A Selesnick
English | August 4, 2022 | ISBN: 9811260699 | 356 pages | MOBI | 20 Mb
Do brains compute? If they do, what do they compute and how do they do it? The first part of the book introduces the development of a model that simulates actual biological neurons more closely than do current standard models of neural networks, as well as the deduction of its physics-like and computational properties from first principles. The second part presents a collection of applications of the model to memory formation and loss, a general syntax for memory retrieval, language itself, and certain forms of aphasia. A linear development of the discussion with proofs in situ is employed by the author, making the book essentially self-contained. A pair of helpful appendices are provided to acquaint the reader with necessary fundamentals of topics in logic and mathematics. Quantum-like Networks: An Approach to Neural Behavior through their Mathematics and Logic will show you an entirely new approach to an ancient subject.

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The Matrix Perturbation Method in Quantum Mechanics


Free Download The Matrix Perturbation Method in Quantum Mechanics
English | 2024 | ISBN: 3031485459 | 201 Pages | PDF EPUB (True) | 36 MB
This book provides an alternative approach to time-independent perturbation theory in non-relativistic quantum mechanics. It allows easy application to any initial condition because it is based on an approximation to the evolution operator and may also be used on unitary evolution operators for the unperturbed Hamiltonian in the case where the eigenvalues cannot be found. This flexibility sets it apart from conventional perturbation theory. The matrix perturbation method also gives new theoretical insights; for example, it provides corrections to the energy and wave function in one operation. Another notable highlight is the facility to readily derive a general expression for the normalization constant at m-th order, a significant difference between the approach within and those already in the literature. Another unique aspect of the matrix perturbation method is that it can be extended directly to the Lindblad master equation. The first and second-order corrections are obtained for this equation and the method is generalized for higher orders. An alternative form of the Dyson series, in matrix form instead of integral form, is also obtained. Throughout the book, several benchmark examples and practical applications underscore the potential, accuracy and good performance of this novel approach. Moreover, the method’s applicability extends to some specific time-dependent Hamiltonians. This book represents a valuable addition to the literature on perturbation theory in quantum mechanics and is accessible to students and researchers alike.

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