Diffusion Quantum Theory And Radically Elementary Mathematics Mn 47 PDF Download
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Author | : William G. Faris |
Publisher | : Princeton University Press |
Total Pages | : 257 |
Release | : 2014-09-08 |
Genre | : Mathematics |
ISBN | : 1400865255 |
Download Diffusion, Quantum Theory, and Radically Elementary Mathematics. (MN-47) Book in PDF, ePub and Kindle
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.
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Publisher | : |
Total Pages | : 1132 |
Release | : 2005 |
Genre | : American literature |
ISBN | : |
Download American Book Publishing Record Book in PDF, ePub and Kindle
Author | : James Binney |
Publisher | : Oxford University Press, USA |
Total Pages | : 408 |
Release | : 2013-12 |
Genre | : Science |
ISBN | : 0199688575 |
Download The Physics of Quantum Mechanics Book in PDF, ePub and Kindle
This title gives students a good understanding of how quantum mechanics describes the material world. The text stresses the continuity between the quantum world and the classical world, which is merely an approximation to the quantum world.
Author | : Walter A. Strauss |
Publisher | : John Wiley & Sons |
Total Pages | : 467 |
Release | : 2007-12-21 |
Genre | : Mathematics |
ISBN | : 0470054565 |
Download Partial Differential Equations Book in PDF, ePub and Kindle
Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.
Author | : A. Peres |
Publisher | : Springer Science & Business Media |
Total Pages | : 463 |
Release | : 2006-06-01 |
Genre | : Science |
ISBN | : 0306471205 |
Download Quantum Theory: Concepts and Methods Book in PDF, ePub and Kindle
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.
Author | : Alexander Altland |
Publisher | : Cambridge University Press |
Total Pages | : 785 |
Release | : 2010-03-11 |
Genre | : Science |
ISBN | : 0521769752 |
Download Condensed Matter Field Theory Book in PDF, ePub and Kindle
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.
Author | : Vasili? Sergeevich Vladimirov |
Publisher | : World Scientific |
Total Pages | : 350 |
Release | : 1994 |
Genre | : Science |
ISBN | : 9789810208806 |
Download P-adic Analysis and Mathematical Physics Book in PDF, ePub and Kindle
p-adic numbers play a very important role in modern number theory, algebraic geometry and representation theory. Lately p-adic numbers have attracted a great deal of attention in modern theoretical physics as a promising new approach for describing the non-Archimedean geometry of space-time at small distances.This is the first book to deal with applications of p-adic numbers in theoretical and mathematical physics. It gives an elementary and thoroughly written introduction to p-adic numbers and p-adic analysis with great numbers of examples as well as applications of p-adic numbers in classical mechanics, dynamical systems, quantum mechanics, statistical physics, quantum field theory and string theory.
Author | : Alan Hinchliffe |
Publisher | : John Wiley & Sons |
Total Pages | : 369 |
Release | : 2011-08-17 |
Genre | : Science |
ISBN | : 1119964814 |
Download Molecular Modelling for Beginners Book in PDF, ePub and Kindle
A concise, basic introduction to modelling and computational chemistry which focuses on the essentials, including MM, MC, and MD, along with a chapter devoted to QSAR and Discovery Chemistry. Includes supporting website featuring background information, full colour illustrations, questions and answers tied into the text,Visual Basic packages and many realistic examples with solutions Takes a hands-on approach, using state of the art software packages G03/W and/or Hyperchem, Gaussian .gjf files and sample outputs. Revised with changes in emphasis and presentation to appeal to the modern student.
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Total Pages | : 732 |
Release | : 2002 |
Genre | : Mathematics |
ISBN | : |
Download Mathematical Reviews Book in PDF, ePub and Kindle
Author | : |
Publisher | : |
Total Pages | : 888 |
Release | : 1993 |
Genre | : Physics |
ISBN | : |
Download Physics Briefs Book in PDF, ePub and Kindle