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Quantum Theory (Dover Books on Physics), by David Bohm
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This superb text by David Bohm, formerly Princeton University and Emeritus Professor of Theoretical Physics at Birkbeck College, University of London, provides a formulation of the quantum theory in terms of qualitative and imaginative concepts that have evolved outside and beyond classical theory. Although it presents the main ideas of quantum theory essentially in nonmathematical terms, it follows these with a broad range of specific applications that are worked out in considerable mathematical detail.
Addressed primarily to advanced undergraduate students, the text begins with a study of the physical formulation of the quantum theory, from its origin and early development through an analysis of wave vs. particle properties of matter. In Part II, Professor Bohm addresses the mathematical formulation of the quantum theory, examining wave functions, operators, Schrödinger's equation, fluctuations, correlations, and eigenfunctions.
Part III takes up applications to simple systems and further extensions of quantum theory formulation, including matrix formulation and spin and angular momentum. Parts IV and V explore the methods of approximate solution of Schrödinger's equation and the theory of scattering. In Part VI, the process of measurement is examined along with the relationship between quantum and classical concepts.
Throughout the text, Professor Bohm places strong emphasis on showing how the quantum theory can be developed in a natural way, starting from the previously existing classical theory and going step by step through the experimental facts and theoretical lines of reasoning which led to replacement of the classical theory by the quantum theory.
- Sales Rank: #104424 in Books
- Published on: 1989-05-01
- Released on: 1989-05-01
- Original language: English
- Number of items: 1
- Dimensions: 8.45" h x 1.23" w x 5.38" l, 1.44 pounds
- Binding: Paperback
- 672 pages
- ISBN13: 9780486659695
- Notes: 100% Satisfaction Guarantee. Tracking provided on most orders. Buy with Confidence! Millions of books sold!
Most helpful customer reviews
321 of 325 people found the following review helpful.
A Crystal-Clear Gem of a Book-- Lucid and Insightful
By Gregory Bravo
Don't let the original 1950's publication date fool you. This book is as relevant and important today as it was when it was first published.
In fact, Bohm's lucid, pointed three-page preface-- in which he outlines in simple English the three exact ways Quantum Mechanics differs from Classical Mechanics (which I had never seen done before and which few physics students ever really grasp)-- that ALONE is worth the price of this book.
Let me help you understand why, without reservation, I feel this book to be a masterpiece of clarity in exposition.
When I first learned Quantum Mechanics-- and, as I have come to learn, my experience was not atypical-- it was basically axiomatic: "Here are these mathematical techniques. If we do this and that and then that to this function, then we can predict certain things about experimental results." I found this a tremendously difficult-- not to mention frustrating-- way of learning things. Mathematically intense, but with little physical understanding.
I memorized the rules, and did OK in my courses, but what I really wanted to know was: WHY was I doing these things? Where did this stuff COME from? And, most importantly, what did this stuff MEAN?
I got bits and pieces-- only hints, really-- from several other textbooks. When I got to grad school, I was excited to finally learn what it all meant. Unfortunately, my grad course was more of the same type of calculation-- just calculating more difficult things! In fact, I had almost given up at really understanding what it all MEANT, and was ready to take my graduate Quantum professor's advice to "Just learn the techniques and use the stuff" when I came across David Bohm.
In a textbook that is more wordy than most novels-- and yet, in which not a single noun is extraneous or out of place-- Bohm takes us on a clear and exciting tour of WHERE Quantum Mechanics comes from, exactly HOW it developed from Classical Mechanics, exactly how it DIFFERS from Classical Mechanics, and, finally, what it all MEANS physically.
He does this by consistantly referring to experiment, by devloping mathematical techniques as necessary, and by discussing and explaining in clear prose what such concepts as the wave function actually MEAN.
It is difficult to overemphasize how comfortable one feels reading this book--- you feel that you are being guided with a firm yet gentle hand by one who truly understands what it means to truly EXPLAIN something. (For all the praise that is heaped on such texs as the Feynman Lectures and Landau and Lifshitz, they can't shake a stick at Bohm's abilities at lucidity in exposition.)
Finally, after developing the traditional calculational techniques, in the last sections of the book Bohm discusses such alternatives as the "hidden variable" theory in balanced yet intriguing ways, and leaves you wanting more.
If I am disappointed in anything, it would be only this:
Why didn't this Shakespeare of physics authors write more?
26 of 26 people found the following review helpful.
Quantum Theory as the Unorthodoxy of David Bohm
By Herbert L Calhoun
Most textbooks on quantum theory begin with the basic equations of the theory and then move rapidly into problem solving and applications. It is a mark of Bohm's unique approach here that the fundamental equation of quantum theory Schrodinger's equation, does not appear until the bottom of page 191. For almost two hundred pages Bohm takes the reader step-by-step through the same sort of experiments and arguments that first convinced physicists that classical physics could no longer adequately represent the new realities introduced by quantum physics, and thus must be replaced by something radically different. Also, to Bohm's credit, when mathematics is introduced, it never goes beyond the level accessible to any undergraduate who has completed a first year college course in physics. We can see clearly here that unlike in the case of Einstein's theory of relativity, which becomes a limiting case for Newtonian physics, quantum physics is not a limiting case to classical physics. Only in the last two chapters does Bohm turn to the difficulties of measurement, which underscores this important fact and is also where the mathematics gets much scarier. But even here he shows that quantum results must always be expressed in the language and meanings of classical physics, since it presupposes the classical paradigm, even if it is not a limiting case.
To his credit, and even though the approach he used here was severely criticized, Bohm never accepted the pedagogical orthodoxy of his Berkeley and Princeton colleagues, who insisted on introducing the quantum theory first as mathematics rather than as quantum ideas, meanings and problems that required particular mathematical solutions. Here Bohm introduces quantum theory along two tracks: first its ideas, concepts, their meanings and principles; and then the mathematical machinery needed to understand and explain them -- and that is required to solve the problems those ideas raised. In fact, as a historical footnote, his colleague and the Chairman of the Physics Department at Princeton at the time this manuscript was completed, the famous J. Robert Oppenheimer, remarked of the draft as it was being completed that "the best thing Bohm could do would be to bury it." (See page 84 of "Infinite Potential: The Life and Times of David Bohm, by F. David Peat, Helix Books, 1996).
However, Oppenheimer's comments aside, I think we must be grateful to Professor Bohm for having the patience and insight to see that the mathematics was secondary to the need for a careful introduction and explanation of the ideas, meanings and principles which are indeed primary. Taking the unorthodox approach he takes here makes this one of the most readable and understandable books on the quantum theory available, even 60 years on. Step-by-step the author shows us just how the ideas that unfolded, moved from the classical model (logically if not always directly) to the new more complex quantum model. And then, he explains why certain mathematical techniques are needed to solve the problems that arise at each juncture. For my level of understanding, this was indeed the ideal approach.
In this way, beyond a simple dependence on Fourier Analysis, which is fundamental throughout, the reader need not be worried about the mathematical techniques he will need to solve a particular problem -- at least until he gets there. When he does arrive, with this book, he will then have a firm grasp of the ideas, concepts, meanings and principles of the quantum theory to whose problems the mathematics will then be applied. It makes the study of quantum theory, more sensible, easier, and arguably, more fun. And as sensible as this approach was at the time Bohm wrote the book, it was resisted by the high priests of quantum physics. (Go figure? ) Five stars
1 of 1 people found the following review helpful.
Fantastic book! The great david bohm represents the most ...
By Mosalanegead Sahar
Fantastic book!
The great david bohm represents the most comprehensive and acceptable interpretation of the quantum theory in this book.
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