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Quantum Mechanics in Simple Matrix Form (Dover Books on Physics) Paperback – December 20, 2005


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Frequently Bought Together

Quantum Mechanics in Simple Matrix Form (Dover Books on Physics) + Linear Operators for Quantum Mechanics (Dover Books on Physics) + Mathematics for Quantum Mechanics: An Introductory Survey of Operators, Eigenvalues, and Linear Vector Spaces (Dover Books on Mathematics)
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Product Details

  • Series: Dover Books on Physics
  • Paperback: 286 pages
  • Publisher: Dover Publications (December 20, 2005)
  • Language: English
  • ISBN-10: 0486445305
  • ISBN-13: 978-0486445304
  • Product Dimensions: 8.7 x 5.1 x 0.4 inches
  • Shipping Weight: 10.6 ounces (View shipping rates and policies)
  • Average Customer Review: 4.2 out of 5 stars  See all reviews (15 customer reviews)
  • Amazon Best Sellers Rank: #129,093 in Books (See Top 100 in Books)

Editorial Reviews

From the Publisher

This simple text makes basic quantum mechanics accessible with a minimum of mathematics. The focus is on the matrices representing physical quanitities. States are described simply by mean values of physical quantities or by probabilities for possible values. This approach reveals the essential simplicity of quantum mechanics by focusing on basics and working only with key elements of mathematical structure. Introduces all mathematics involved with using algebra of matrices, complex numbers, probabilities, and mean values. Offers over l00 problems. --This text refers to an out of print or unavailable edition of this title.

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Customer Reviews

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This is basic stuff that a lot of books just skip.
Amazon Customer
There are few books which explain quantum mechanics with such grace and simplicity.
S J Leary
It takes prior knowledge of quantum mechanics to appreciate!
Kenneth C. Crandall

Most Helpful Customer Reviews

42 of 43 people found the following review helpful By A Customer on July 6, 2004
Format: Paperback
This review is written from the point of view of a philospher, poorly trained in mathematics, but still wanting to get to the meat of quantum mechanics from a methematical point of view. Wow. In this book I found what I thought I never would. It describes the mathematical world of quantum physics using the majestic simplicity of matrices and the algebra of complex numbers. As the author states in the preface, no calculus or trigonometry is required. While the math isn't downright simple, neither is beyond the grasp of someone who is bright, but hasn't taken claculus or even precalc. For those who want to journey past this book another excellent intro level quantum mechanics text that introduces wave mechanics and does assume a knowledge of basic calculus is "Fundamentals of Quantum Mechanics" by J.E. House. Both are excellent!
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42 of 43 people found the following review helpful By S J Leary on March 28, 2000
Format: Paperback
There are few books which explain quantum mechanics with such grace and simplicity. Starting with the basics the author sets out to explain the ideas and mathematics behind qunatum mechanics. The author also provides the historical references leading to the birth of quantum mechanics. The layout and presentation of the material is pure mathematical poetry.
Whilst the material would never make light bedtime reading, I would seriously recommend this book for both phyisicists and electronic engineering at the undergraduate and graduate level. The book has been a great source of information for my own research into the mysteries of quantum mechanics.
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23 of 23 people found the following review helpful By Amazon Customer on January 18, 2008
Format: Paperback Verified Purchase
I have quite a few books on Quantum Mechanics. This book does what the others do not. The first half is about simple math. Understanding that QP - PQ = ih/2pi is the matrix form of an equation and the QP - PQ is not zero because the matrices do not commute is critical. This is basic stuff that a lot of books just skip. The second half uses the math to explain some of the features of Quantum Mechanics. For me I needed the detailed first half even though the math was not too hard. Now I can read my other books with a new understanding and finally I am starting to understand Quantum Mechanics.
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4 of 4 people found the following review helpful By Ken Braithwaite on November 2, 2008
Format: Paperback Verified Purchase
I liked this book and learned a good deal from it. It is intended as a look at only some aspects of QM -- a slice -- not the subject as a whole. It has some problems: he never defines quite why or how the given matrices are chosen for ecample. It seems like a good "add on" to whatever other introduction to QM you are reading.
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3 of 3 people found the following review helpful By The Thinker on May 31, 2012
Format: Paperback Verified Purchase
The one star is not for the text, but for the quality of the paper and printing. Dover used to dependably print their technical books on good quality paper, but this book had astonishingly bad paper, and the ink bleeds into it. At least, I won't feel bad marking it up... They seem to have used the paper they use on their one dollar classic novel reprints, or worse.
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5 of 6 people found the following review helpful By Ulfilas on October 23, 2011
Format: Paperback
This book is intended to introduce quantum mechanics to beginners at the level of a Scientific American article. No knowledge of calculus is assumed; the reader can probably get by with nothing more than high school Algebra II. Due to these constraints, a great deal of material must necessarily be left out. As calculus is not used in this book, there is no mention of the Schrodinger equation or differential operators.

When I was a college physics major first learning modern physics 40 years ago, it was not until I encountered the solution to the hydrogen atom using the Schrodinger equation that I began to feel comfortable with quantum mechanics. Schrodinger's solution to the hydrogen atom was sufficiently specific and detailed to show the power of quantum theory, and in historical terms provided the theory with much needed credibility. I would therefore suggest that the reader with knowledge of calculus read an introductory book that includes the Schrodinger equation, such as Cropper's The Quantum Physicists: And an Introduction to Their Physics.

Perhaps Jordan is a little out of his element in writing a book intended for layman. I should note that his book on Hilbert space, Linear Operators for Quantum Mechanics (Dover Books on Physics), written for first year physics graduate students, is sublime!
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1 of 1 people found the following review helpful By Ivailo on January 4, 2011
Format: Paperback Verified Purchase
Very good !
The book helps the reader very well to understand the way of thinking that he needs to get to use when dealing with quantum mechanics.
The book gives the opportunity to get the explanations directly from the source - the people who were facing the question why a new mechanic is necessary and what are the things that make it a new mechanic compared to the classical mechanic.
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3 of 4 people found the following review helpful By Jason Dowd on January 15, 2012
Format: Paperback Verified Purchase
It's true that this book requires absolutely no calculus. Or linear algebra for that matter. This book doesn't even assume you've ever seen a complex number or a matrix before. All that is necessary is introduced in the first few chapters.

However, as this book progresses it slowly reveals itself for what it truly is: a first book on the operator formalism in quantum mechanics, where commutation relations for observable quantities are promoted to central importance.

While I'm certain that students with only a very modest background in physics and mathematics will be able to get something out of this book at least in the early chapters, the last third of this book is more suitable for fairly advanced students of quantum mechanics looking to make their way from state vectors to operators as required by quantum field theory. To such students I would recommend already having The Principles of Quantum Mechanics (International Series of Monographs on Physics) under your belt.

This is ultimately a challenging book masquerading as an elementary one.
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