Diffusion Quantum Theory And Radically Elementary Mathematics Mn 47
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Diffusion Quantum Theory And Radically Elementary Mathematics Mn 47
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Author : William G. Faris
language : en
Publisher: Princeton University Press
Release Date : 2014-09-08
Diffusion Quantum Theory And Radically Elementary Mathematics Mn 47 written by William G. Faris and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-08 with Mathematics categories.
Diffusive motion--displacement due to the cumulative effect of irregular fluctuations--has been a fundamental concept in mathematics and physics since Einstein's work on Brownian motion. It is also relevant to understanding various aspects of quantum theory. This book explains diffusive motion and its relation to both nonrelativistic quantum theory and quantum field theory. It shows how diffusive motion concepts lead to a radical reexamination of the structure of mathematical analysis. The book's inspiration is Princeton University mathematics professor Edward Nelson's influential work in probability, functional analysis, nonstandard analysis, stochastic mechanics, and logic. The book can be used as a tutorial or reference, or read for pleasure by anyone interested in the role of mathematics in science. Because of the application of diffusive motion to quantum theory, it will interest physicists as well as mathematicians. The introductory chapter describes the interrelationships between the various themes, many of which were first brought to light by Edward Nelson. In his writing and conversation, Nelson has always emphasized and relished the human aspect of mathematical endeavor. In his intellectual world, there is no sharp boundary between the mathematical, the cultural, and the spiritual. It is fitting that the final chapter provides a mathematical perspective on musical theory, one that reveals an unexpected connection with some of the book's main themes.
American Book Publishing Record
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Author :
language : en
Publisher:
Release Date : 2005
American Book Publishing Record written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with American literature categories.
Quantum Theory Concepts And Methods
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Author : A. Peres
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-06-01
Quantum Theory Concepts And Methods written by A. Peres 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 2006-06-01 with Science categories.
There are many excellent books on quantum theory from which one can learn to compute energy levels, transition rates, cross sections, etc. The theoretical rules given in these books are routinely used by physicists to compute observable quantities. Their predictions can then be compared with experimental data. There is no fundamental disagreement among physicists on how to use the theory for these practical purposes. However, there are profound differences in their opinions on the ontological meaning of quantum theory. The purpose of this book is to clarify the conceptual meaning of quantum theory, and to explain some of the mathematical methods which it utilizes. This text is not concerned with specialized topics such as atomic structure, or strong or weak interactions, but with the very foundations of the theory. This is not, however, a book on the philosophy of science. The approach is pragmatic and strictly instrumentalist. This attitude will undoubtedly antagonize some readers, but it has its own logic: quantum phenomena do not occur in a Hilbert space, they occur in a laboratory.
Condensed Matter Field Theory
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Author : Alexander Altland
language : en
Publisher: Cambridge University Press
Release Date : 2010-03-11
Condensed Matter Field Theory written by Alexander Altland and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-11 with Science categories.
This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research. Topics covered include second quantisation, path and functional field integration, mean-field theory and collective phenomena.
Stochastics Algebra And Analysis In Classical And Quantum Dynamics
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Author : Sergio Albeverio
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Stochastics Algebra And Analysis In Classical And Quantum Dynamics written by Sergio Albeverio 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 Mathematics categories.
'Et moi, "'f si j'avait su comment en revenir, One service mathematics has rendered the je n'y serais point aile':' human race. It has put common sense back Jules Verne where it belongs, 011 the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be able to do something with it. Eric T. Bell o. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non Iinearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics . . . '; 'One service logic has rendered com puter science . . . '; 'One service category theory has rendered mathematics . . . '. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series_ This series, Mathematics and Its Applications, started in 1977. Now that over one hundred volumes have appeared it seems opportune to reexamine its scope. At the time I wrote ''Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the 'tree' of knowledge of mathematics and related fields does not grow only by putting forth new branches.
Ubiquitous Quantum Structure
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Author : Andrei Y. Khrennikov
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-01-23
Ubiquitous Quantum Structure written by Andrei Y. Khrennikov 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 2010-01-23 with Science categories.
Quantum-like structure is present practically everywhere. Quantum-like (QL) models, i.e. models based on the mathematical formalism of quantum mechanics and its generalizations can be successfully applied to cognitive science, psychology, genetics, economics, finances, and game theory. This book is not about quantum mechanics as a physical theory. The short review of quantum postulates is therefore mainly of historical value: quantum mechanics is just the first example of the successful application of non-Kolmogorov probabilities, the first step towards a contextual probabilistic description of natural, biological, psychological, social, economical or financial phenomena. A general contextual probabilistic model (Växjö model) is presented. It can be used for describing probabilities in both quantum and classical (statistical) mechanics as well as in the above mentioned phenomena. This model can be represented in a quantum-like way, namely, in complex and more general Hilbert spaces. In this way quantum probability is totally demystified: Born's representation of quantum probabilities by complex probability amplitudes, wave functions, is simply a special representation of this type.
Matvei Petrovich Bronstein
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Author : Gennady Gorelik
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-09-15
Matvei Petrovich Bronstein written by Gennady Gorelik 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 2011-09-15 with Mathematics categories.
The true history of physics can only be read in the life stories of those who made its progress possible. Matvei Bronstein was one of those for whom the vast territory of theoretical physics was as familiar as his own home: he worked in cosmology, nuclear physics, gravitation, semiconductors, atmospheric physics, quantum electrodynamics, astro physics and the relativistic quantum theory. Everyone who knew him was struck by his wide knowledge, far beyond the limits of his trade. This partly explains why his life was closely intertwined with the social, historical and scientific context of his time. One might doubt that during his short life Bronstein could have made truly weighty contributions to science and have become, in a sense, a symbol of his time. Unlike mathematicians and poets, physicists reach the peak of their careers after the age of thirty. His thirty years of life, however, proved enough to secure him a place in the Greater Soviet Encyclopedia. In 1967, in describing the first generation of physicists educated after the 1917 revolution, Igor Tamm referred to Bronstein as "an exceptionally brilliant and promising" theoretician [268].
Radically Elementary Probability Theory Am 117 Volume 117
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Author : Edward Nelson
language : en
Publisher: Princeton University Press
Release Date : 2016-03-02
Radically Elementary Probability Theory Am 117 Volume 117 written by Edward Nelson and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-02 with Mathematics categories.
Using only the very elementary framework of finite probability spaces, this book treats a number of topics in the modern theory of stochastic processes. This is made possible by using a small amount of Abraham Robinson's nonstandard analysis and not attempting to convert the results into conventional form.
Concepts In Statistical Mechanics
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Author : Art Hobson
language : en
Publisher: CRC Press
Release Date : 1987
Concepts In Statistical Mechanics written by Art Hobson and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Science categories.
"This reference reviews many principles and practices of microbiology in the cosmetic industry to address globalization of products. Supplying chapters from leading authorities around the world, this guide highlights emerging issues in nanotechnology, governmental regulation, and efficacy testing, as well as demonstrates the impact of microbiological testing in clinical studies." "Emphasizing the globalization of products in industry, this source ranges from discussions of the evolution of cosmetic and drug microbiology in different countries to preservative efficacy testing, hurdle technology, and nanotechnology ... introduces emerging 'lab on a chip' technologies for the testing of microorganisms and their products at the molecular level ... describes critical factors that must be considered in the testing and selection of preservatives for product formulations ... presents an overview of skin microbiology ... and updates progress on global harmonization of microbiological test methods."--BOOK JACKET.
Physics Briefs
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Author :
language : en
Publisher:
Release Date : 1993
Physics Briefs written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Physics categories.