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Perspectives On Quantization


Perspectives On Quantization
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Perspectives In Quantum Hall Effects


Perspectives In Quantum Hall Effects
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Author : Sankar Das Sarma
language : en
Publisher: Wiley-Interscience
Release Date : 1997

Perspectives In Quantum Hall Effects written by Sankar Das Sarma and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Science categories.


The book offers important new insights into the fractional quantum Hall effect in low-dimensional systems of human-made quantum structures and discusses the quantum Hall effect as both a theoretical method for the study of semiconductors and as a tool for physicists and electrical engineers working in the electronics industry.



Operator Algebras And Operator Theory


Operator Algebras And Operator Theory
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Author : Liming Ge
language : en
Publisher: American Mathematical Soc.
Release Date : 1998

Operator Algebras And Operator Theory written by Liming Ge and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.


This volume contains the proceedings from the International Conference on Operator Algebras and Operator Theory held at the East China Normal University in Shanghai (China). Participants in the conference ranged from graduate students to postdocs to leading experts who came from around the world. Topics covered were $C*$-algebras, von Neumann algebras, non-self-adjoint operator algebras, wavelets, operator spaces and other related areas. This work consists of contributions from invited speakers and some mathematicians who were unable to attend. It presents important mathematical ideas while maintaining the uniqueness and excitement of this very successful event.



Group 24


Group 24
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Author : J.P Gazeau
language : en
Publisher: CRC Press
Release Date : 2003-11-30

Group 24 written by J.P Gazeau and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-11-30 with Mathematics categories.


One of the most enduring elements in theoretical physics has been group theory. GROUP 24: Physical and Mathematical Aspects of Symmetries provides an important selection of informative articles describing recent advances in the field. The applications of group theory presented in this book deal not only with the traditional fields of physics, but also include such disciplines as chemistry and biology. Awarded the Wigner Medal and the Weyl Prize, respectively, H.J. Lipkin and E. Frenkel begin the volume with their contributions. Plenary session contributions are represented by 18 longer articles, followed by nearly 200 shorter articles. The book also presents coherent states, wavelets, and applications and quantum group theory and integrable systems in two separate sections. As a record of an international meeting devoted to the physical and mathematical aspects of group theory, GROUP 24: Physical and Mathematical Aspects of Symmetries constitutes an essential reference for all researchers interested in various current developments related to the important concept of symmetry.



The Quantization Of Gravity


The Quantization Of Gravity
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Author : Claus Gerhardt
language : en
Publisher: Springer
Release Date : 2024-10-09

The Quantization Of Gravity written by Claus Gerhardt and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-09 with Science categories.


A unified quantum theory incorporating the four fundamental forces of nature is one of the major open problems in physics. The Standard Model combines electro-magnetism, the strong force and the weak force, but ignores gravity. The quantization of gravity is therefore a necessary first step to achieve a unified quantum theory. In this monograph a canonical quantization of gravity has been achieved by quantizing a geometric evolution equation resulting in a hyperbolic equation in a fiber bundle, where the base space represents a Cauchy hypersurface of the quantized spacetime and the fibers the Riemannian metrics in the base space. The hyperbolic operator, a second order partial differential operator, acts both in the fibers as well as in the base space. In this second edition new results are presented which allow the solutions of the hyperbolic equation to be expressed as products of spatial and temporal eigenfunctions of self-adjoint operators. These eigenfunctions form complete bases in appropriate Hilbert spaces. The eigenfunctions depending on the fiber elements are a subset of the Fourier kernel of the symmetric space SL(n,R)/SO(n), where n is the dimension of the base space; they represent the elementary gravitons corresponding to the degrees of freedom in choosing the entries of Riemannian metrics with determinants equal to one. These are all the degrees of freedom available because of the coordinate system invariance: For any smooth Riemannian metric there exists an atlas such that in each chart the determinant of the metric is equal to one. In the important case n=3 the Standard Model could also be incorporated such that one can speak of a unified quantization of all four fundamental forces of nature.



New Perspectives On Approximation And Sampling Theory


New Perspectives On Approximation And Sampling Theory
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Author : Ahmed I. Zayed
language : en
Publisher: Springer
Release Date : 2014-11-03

New Perspectives On Approximation And Sampling Theory written by Ahmed I. Zayed and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-03 with Mathematics categories.


Paul Butzer, who is considered the academic father and grandfather of many prominent mathematicians, has established one of the best schools in approximation and sampling theory in the world. He is one of the leading figures in approximation, sampling theory, and harmonic analysis. Although on April 15, 2013, Paul Butzer turned 85 years old, remarkably, he is still an active research mathematician. In celebration of Paul Butzer’s 85th birthday, New Perspectives on Approximation and Sampling Theory is a collection of invited chapters on approximation, sampling, and harmonic analysis written by students, friends, colleagues, and prominent active mathematicians. Topics covered include approximation methods using wavelets, multi-scale analysis, frames, and special functions. New Perspectives on Approximation and Sampling Theory requires basic knowledge of mathematical analysis, but efforts were made to keep the exposition clear and the chapters self-contained. This volume will appeal to researchers and graduate students in mathematics, applied mathematics and engineering, in particular, engineers working in signal and image processing.



Perspectives On Quantum Reality


Perspectives On Quantum Reality
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Author : R.K. Clifton
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11

Perspectives On Quantum Reality written by R.K. Clifton and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Science categories.


But to admit things not visible to the gross creatures that we are is, in my opinion, to show a decent humility, and not just a lamentable addiction to metaphysics. J. S. Bell, Are There Quantum Jumps? ON CANADIAN THANKSGIVING WEEKEND in the autumn of 1994, a lively conference was held at The University of Western Ontario under the title "Conceptual Problems of Relativistic Quantum Mechanics". Most of the eighteen papers in this volume are directly connected with that conference. Articles by both theoretical physicists and philosophers of science are included, and many authors will be recognized immediately for their already substantive work in the foundations of physics. A quarter century ago Howard Stein suggested that relativistic quantum field theory should be 'the contemporary locus of metaphysical research', but there were few takers. Only fairly recently has that changed, with the result that the bulk of the papers here pursue issues that go beyond nonrelativistic quantum mechanics (or at least have serious implications for its relativistic generalization). Nevertheless, problems interpreting the nonrelativistic theory remain a persistent thorn in the side of any such endeavor, and so some of the papers develop innovative approaches to those issues as well.



Quantum Field Theory Perspective And Prospective


Quantum Field Theory Perspective And Prospective
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Author : Cécile Dewitt-Morette
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Quantum Field Theory Perspective And Prospective written by Cécile Dewitt-Morette and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.


It has been said that `String theorists talk to string theorists and everyone else wonders what they are saying'. This book will be a great help to those researchers who are challenged by modern quantum field theory. Quantum field theory experienced a renaissance in the late 1960s. Here, participants in the Les Houches sessions of 1970/75, now key players in quantum field theory and its many impacts, assess developments in their field of interest and provide guidance to young researchers challenged by these developments, but overwhelmed by their complexities. The book is not a textbook on string theory, rather it is a complement to Polchinski's book on string theory. It is a survey of current problems which have their origin in quantum field theory.



Nonequilibrium Quantum Transport Theory Of Spinful And Topological Systems A New Perspective And Foundation For Topotronics


Nonequilibrium Quantum Transport Theory Of Spinful And Topological Systems A New Perspective And Foundation For Topotronics
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Author : Felix A Buot
language : en
Publisher: World Scientific
Release Date : 2024-04-23

Nonequilibrium Quantum Transport Theory Of Spinful And Topological Systems A New Perspective And Foundation For Topotronics written by Felix A Buot and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-23 with Science categories.


This book employs nonequilibrium quantum transport, based on the use of mixed Hilbert space representations and real time quantum superfield transport theory, to explain various topological phases of systems with entangled chiral degrees of freedom. It presents an entirely new perspective on topological systems, entanglement-induced localization and delocalization, integer quantum Hall effect (IQHE), fractional quantum Hall effect (FQHE), and its respective spectral zones in the Hofstadter butterfly spectrum. A simple and powerful, intuitive, and wide-ranging perspective on chiral transport dynamics.



Quantum Cosmology The Supersymmetric Perspective Vol 2


Quantum Cosmology The Supersymmetric Perspective Vol 2
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Author : Paulo Vargas Moniz
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-04-27

Quantum Cosmology The Supersymmetric Perspective Vol 2 written by Paulo Vargas Moniz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-27 with Science categories.


We read in order to know we are not alone, I once heard, and perhaps it could also be suggested that we write in order not to be alone, to endorse, to promote continuity. The idea for this book took about 10 years to materialize, and it is the author’s hope that its content will constitute the beginning of further explorations beyond current horizons. More speci cally, this book appeals to the reader to engage upon and persevere with a journey, moving through the less well explored territories in the evolution of the very early universe, and pushing towards new landscapes. P- haps, during or after consulting this book, this attitude and this willingness will be embraced by someone, somewhere, and this person will go on to enrich our quantum cosmological description of the early universe, by means of a clearer supersymm- ric perspective. It is to these creative and inquisitive ‘young minds’ that the book is addressed. The reader will not therefore nd in this book all the answers to all the problems regarding a supersymmetric and quantum description of the early universe, and this remark is substantiated in the book by a list of unresolved and challenging problems, itself incomplete.



Quantum Cosmology The Supersymmetric Perspective Vol 1


Quantum Cosmology The Supersymmetric Perspective Vol 1
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Author : Paulo Vargas Moniz
language : en
Publisher: Springer
Release Date : 2010-07-02

Quantum Cosmology The Supersymmetric Perspective Vol 1 written by Paulo Vargas Moniz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-02 with Science categories.


We read in order to know we are not alone, I once heard, and perhaps it could also be suggested that we write in order not to be alone, to endorse, to promote continuity. The idea for this book took about ten years to materialize, and it is the author’s hope that its content will constitute the beginning of further explorations beyond current horizons. More speci cally, this book appeals to the reader to engage upon and persevere with a journey, moving through the less well explored territories in the evolution of the very early universe, and pushing towards new landscapes. P- haps, during or after consulting this book, this attitude and this willingness will be embraced by someone, somewhere, and this person will go on to enrich our quantum cosmological description of the early universe, by means of a clearer supersymm- ric perspective. It is to these creative and inquisitive ‘young minds’ that the book is addressed. The reader will not therefore nd in this book all the answers to all the problems regarding a supersymmetric and quantum description of the early universe, and this remark is substantiated in the book by a list of unresolved and challenging problems, itself incomplete.