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Leslie E. Ballentine

Quantum Mechanics: A Modern Development First Edition

by Leslie E Ballentine (Author)

4.9 13 ratings

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Although there are many textbooks that deal with the formal apparatus of quantum mechanics (Qm) and its application to standard problems, none take into account the developments in the foundations of the subject which have taken place in the last few decades. There are specialized treatises on various aspects of the foundations of Qm, but none that integrate those topics with the standard material. This book aims to remove that unfortunate dichotomy, which has divorced the practical aspects of the subject from the interpretation and broader implications of the theory. The book is intended primarily as a graduate level textbook, but it will also be of interest to physicists and philosophers who study the foundations of Qm. Parts of it could be used by senior undergraduates too.

ISBN-10

9810241054
ISBN-13

978-9810241056
Edition

First Edition
Publisher

Wspc
Publication date

March 10, 1998
Language

English
Dimensions

6 x 1.52 x 8.5 inches
Print length

672 pages
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Leslie E Ballentine
20
Paperback
21 offers from $63.00
Steven Weinberg
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Product details

Publisher ‏ : ‎ Wspc; First Edition (March 10, 1998)
Language ‏ : ‎ English
Paperback ‏ : ‎ 672 pages
ISBN-10 ‏ : ‎ 9810241054
ISBN-13 ‏ : ‎ 978-9810241056
Item Weight ‏ : ‎ 2.06 pounds
Dimensions ‏ : ‎ 6 x 1.52 x 8.5 inches

Best Sellers Rank: #3,150,257 in Books (See Top 100 in Books)
- #1,453 in Nuclear Physics (Books)
- #2,747 in Quantum Theory (Books)
- #3,507 in Physics (Books)

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4.9 13 ratings

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4.9 out of 5

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Daniel

A must have book

Reviewed in the United States 🇺🇸 on April 8, 2015

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Ballentine has the merit of writing a textbook (controversial because of the refutation of the standard Copenhagen interpretation (von Neumann's collapse postulate)) that will forever stand alone among the rest of the books on quantum mechanics. A future theoretical physicist MUST have this book close by

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Gary

Ballentine: "broader implications of the theory"

Reviewed in the United States 🇺🇸 on October 8, 2019

There are many varieties of quantum mechanics textbooks and it is easy to get overwhelmed. Of course, if you are taking a course, you follow the assigned textbook. If you are enterprising, you want more than merely that ! Ballentine is one conceivable resource that provides more than just your required course material. The original 1990 printing is part of the Prentice-Hall “advanced reference series.” How advanced is "advanced" ?
(1) Read: “rigged Hilbert space seems to be a more natural mathematical setting for quantum mechanics than Hilbert space.” (page 19). Learn of rigged Hilbert space (and, compare to Arno Bohm, page 50, 1979).
(2) Read: “the interpretation of quantum mechanics is dependent on choosing a suitable interpretation of probability.” (page 35). From there, proceed to page 165. Now, read David Bohm, probability and correlations, chapter four and ten, for an elementary exposition of related material.
(3) Identification of operators with dynamical variables (section 3.4) will utilize Schur’s Lemma: “any operator which commutes with such a set must be a multiple of the identity.” (page 61). Ballentine presents the best elementary exposition utilizing Schur’s lemma that I have encountered. It makes so much sense now !
(4) Kronecker products, joint probability, independence, factorization and uncorrelated states, read the section on composite systems if you want to understand those things ! Now, proceed to section 8-3 (page 160). Joint and conditional probabilities, revisited later (section 9.6, pages 182-188). Excellent pedagogy.
(5) “the misrepresentation of Psi (wave-function) as a physical wave in ordinary space is possible only because the most common applications of quantum mechanics are to one-particle states, for which configuration space and ordinary space are isomorphic.” (page 76). Repeat that line again and again ! Heisenberg emphasizes the same in his “Principles of Quantum Theory.” No confusion should remain.
(6) When do analogies break down ? One instance, energy-time ‘uncertainty.’ Read: “this analogy breaks down under closer scrutiny.” (page 238). Another instance, time-reversal: “this simple analogy proves to be misleading at almost every step.” (page 250). Of the classical limit, read “the proposed analogy seriously oversimplifies the nature of the problem.” (read chapter fifteen). Excellent pedagogy.
(7) An introduction to creation and annihilation operators (pages 353-358). Of zero-point-energy (page 400): “our inability to perceive that large energy-density is not incompatible with its existence.”
(8) There is an interesting procedure presented in which the Lippmann-Schwinger equation is ’derived.’ That equation is then transformed into a Green’s function terminology, contour integration ensues (page 331), then, a recapitulation of an equation first displayed (page 323) regards scattering amplitudes. Excellent pedagogy.
(9) Read: “in spite of this similarity, a coherent state of the quantized electromagnetic field is not equivalent to a classical field.” (page 408). There is an interesting discussion of correlation functions and then this: “we have here an example in which the primary nature of the fields is emphasized, and it is not helpful to regard the field as merely a stream of particles.” (page 423). Read: “there is an obvious sense in which the one-photon state is the most distinctly quantum-mechanical…” (page 434). Careful attention paid to correlations is repaid in the final chapter (so, chapter 19 and 20 are much a set):
(10) Finally, Bell’s Theorem and its consequences. Consult Asher Peres (1995) chapter six, for more.
(11) Concluding: An excellent, if advanced, textbook. Asher Peres’ excellent “Quantum Theory: Concepts and Methods,” complements this text. Both books touch on topics neglected in elementary courses. Reprints of Journal papers can be found in "Foundations of Quantum Mechanics Since The Bell Inequalities (1988, AAPT)."
Arno Bohm wrote: “quantum mechanics is more than the over-emphasized wave-particle dualism presented in the familiar mathematics of differential equations.” (preface, 1979).

2 people found this helpful

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Joseph E Subotnik

wonderful treatment

Reviewed in the United States 🇺🇸 on April 13, 2003

Verified Purchase

This is a great book. Mathematically accurate and very precise. No bologne. I loved it. The only bummer is that it doesn't treat some experimentally useful topics (decay of states, e.g.) but it's a great book to learn from.

15 people found this helpful

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Stanislav Sedov

One of the best textbooks on QM

Reviewed in the United States 🇺🇸 on September 27, 2009

This book is the most clear and thorough quantum mechanics course I've ever seen. Unlike most physics book it uses formal developments of the theory from the first changes of the book, but the author uses the most advanced modern mathematical techniques available, so the whole explanation stays clear and simple to understand even you've never touched the subject before. Nonetheless, this is not just an introductory book, it covers both the fundamentals and the advanced topics, as well as the modern researches like Bell's inequality. The author also frequently points out the common errors beginners tend to absorb and pays a lot of attention to some misconceptions present in other books.

14 people found this helpful

Helpful

Vernice Fresca

Husimi distributions superconductivity

Reviewed in the United States 🇺🇸 on September 29, 2015

Excellent book. If any faults can be found, it is that the treatment of Husimi distributions does not mention the profound revolution they engendered in our understanding of superconductivity. But otherwise top-notch.

Reviewed in the United States 🇺🇸 on May 3, 2005

I'm writing to lend support to the above positive reviews. I found Ballentine's approach clear and straightforward, but I had already taken an undergraduate QM course before reading this text. Thorough attention is devoted to foundational details. The discussions of measurement and interpretation cleared up some confusing misconceptions I acquired from Griffith's text.

The text seems to lack in the simple, idealized examples common in introductory texts. I think this is an advantage for an advanced text but may make it more difficult as an introductory text.

17 people found this helpful

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Ofer Aluf

Very Good book - that gives diffrent ides to Quantum Mechanics

Reviewed in the United States 🇺🇸 on March 9, 2006

Very Good book - that gives diffrent Sides to Quantum Mechanics. Please advise for continue books for that book.

6 people found this helpful

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Beebear

Insights

Reviewed in Germany 🇩🇪 on December 13, 2012

Verified Purchase

I bought this book to get some more insight into quantum mechanics after being fairly solid with undergrad stuff. I really like the group theoretic derivation of the basic equations. I'll probably look up even more general and mathematical derivations.

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