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Quantum Mechanics: The Theoretical Minimum
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Review
“The writing is fresh and immediate, with plenty of detail packaged into the smooth narrative.... [O]n their own terms, I found Susskind and Friedman's explanations crisp and satisfying.... I maintain a clear recollection of the bewilderment with which I struggled through my own university quantum-mechanics courses. For students in a similar position, trying to draw together the fragments of formalism into a clear conceptual whole, Susskind and Friedman's persuasive overview—and their insistence on explaining, with sharp mathematical detail, exactly what it is that is strange about quantum mechanics—may be just what is needed.”—David Seery, Nature“[T]he book will work well as a companion text for university students studying quantum mechanics or the armchair physicists following Susskind's YouTube lectures.”—Publishers Weekly“This is quantum mechanics for real. This is the good stuff, the most mysterious aspects of how reality works, set out with crystalline clarity. If you want to know how physicists really think about the world, this book is the place to start.”—Sean Carroll, physicist, California Institute of Technology, and author of The Particle at the End of the Universe
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About the Author
Leonard Susskind has been the Felix Bloch Professor in Theoretical Physics at Stanford University since 1978. He is the author (with George Hrabovsky) of The Theoretical Minimum, as well as The Black Hole War and The Cosmic Landscape. He lives in Palo Alto, California. Art Friedman is a data consultant who previously spent fifteen years at Hewlett-Packard as a software engineer. A lifelong student of physics, he lives in Mountain View, California.
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Product details
Series: The Theoretical Minimum
Hardcover: 384 pages
Publisher: Basic Books; 2nd Edition edition (February 25, 2014)
Language: English
ISBN-10: 0465036678
ISBN-13: 978-0465036677
Product Dimensions:
5.8 x 1.2 x 8.2 inches
Shipping Weight: 1 pounds
Average Customer Review:
4.4 out of 5 stars
156 customer reviews
Amazon Best Sellers Rank:
#413,042 in Books (See Top 100 in Books)
Physics lectures are of three types according to this anecdote of Niels Bohr:“A young man was sent by his own village to a neighboring town to hear a great Rabbi. He was to bring back a report in which all could share. When he returned he told his eagerly awaiting fellow citizens: “The Rabbi spoke three times. The first was brilliant; clear and simple. I understood every word. The second was even better, deep and subtle. I didn’t understand much, but the Rabbi understood it all. The third was by far the finest; a great and unforgettable experience. I understood nothing and the Rabbi himself didn’t understand much either.â€Professor Susskind (1) of Stanford University is far ahead of Bohr’s Rabbi – he understands it all. To Susskind “Everything is easy in Quantum mechanics†(2). So easy that he always “destroys his lecture notes to prevent his lectures being the same next time†(3). “Given enough time, with no distractions, you could use [his book (4)] to eventually master Quantum Mechanics†(5). An attractive challenge as the book is only 350 pages.Only 350 pages perhaps, but it assumes you are versed in Classical Mechanics (which you aren’t). Realistically, you need Susskind’s first book (6) plus a preliminary YouTube series of 9 x 1.5 hour lectures on Quantum Entanglement (7). Plus you will need assistance from 10 x 1.5 hour YouTube lectures (8) in parallel with the book. Still a realistic challenge given the results (9).According to Susskind, Quantum Mechanics is much more fundamental that classical physics. “As far as we know quantum mechanics provides an exact description of every physical system†(10). Moreover, “the logic of classical mechanics of Newton is incorrect, the underlying structure is inadequate†(11). Not only should we logically learn quantum mechanics first, it is technically much easier than classical mechanics (12).Susskind lives in a Quantum Mechanical world, the real world, deploring our choice of units that makes Avogadro’s Number (13) and the speed of light (14) ridiculously large and Planck’s Constant (15) ridiculously small. He blames historical chemists who measured things by comparison to the size of their hands. Choosing units appropriate to the sub-atomic scale, such as making Planck’s constant = 1, would make his world feel normal.For those who enjoyed science and mathematics to a reasonable level (16) but who had to follow a career to survive in the world, this is more an opportunity than a challenge. Not that it is not a challenge! It is a mind tingling challenge. A way of familiarizing with the real subject with the actual equations - not a popularization.The fascinating history of Archimedes, Johannes Kepler and Isaac Newton fitting an ellipse to the Mars orbit and concluding with the Law of Gravity is only the half of it. Understand how the mathematics of vectors and matrices are fitted to the real world being Quantum Mechanics. Like Archimedes the French mathematicians Joseph-Louis Lagrange, Siméon Poisson, and the Irish mathematician William Rowan Hamilton were nice enough to magically or inadvertently provide the mathematics a long time prior to make it possible. Why this mathematical physics works no one knows, neither Susskind nor the Rabbi.One moment you feel like like Niels Bohr’s student in his third lecture then you are stunned when Professor Susskind commences a short summing-up by saying, in a matter-of-fact way, that an equation derived in the lecture is called Schrödinger’s equation (17)! Or that the postulates he has been talking about are Dirac’s postulates of Quantum Mechanics formulated in the 1930’s which have never needed to be replaced (18). Or, early on, describes a vector and says that it is Dirac’s notation (19).Finally, Susskind is to be applauded. If this can be done with Quantum Mechanics, it can be done in any subject of Physics or Mathematics or any other area of study. There must be a value in doing this (other than ex-auto workers retraining themselves for jobs at CERN) as the work will inevitably not continue to be publically funded unless tax-payers have some idea what it is.PS: The advantage of a career outside Physics is to know “you always write the minutes before the meetingâ€. Bohr’s student may finally have understood so little that he was not game to return to his village. As a precaution I have written this travelogue well before completing the trip.(1) Leonard Susskind is the Professor of Theoretical Physics at Stanford University, and director of the Stanford Institute for Theoretical Physics. His Wikipedia entry is a good read in itself.(2) Lecture 9, Quantum Entanglements(3) Lecture 9, Quantum Entanglements(4) Quantum Mechanics – The Theoretical Minimum by Leonard Susskind & Art Friedman. The “minimum†means just what you need to know to proceed to the next level.(5) Science News: quote from back cover of Susskind’s book.(6) The Theoretical Minimum – What you Need to Know to start doing Physics Leonard Susskind and George Hrabovsky.(7) Quantum Entanglements, Susskind, Stanford University, YouTube. It seems that the old unadorned lecture format has stood the test of time with only the whiteboard and marker (when it works) replacing the blackboard and chalk.(8) Modern Physics, Quantum Mechanics, Susskind, Stanford University, YouTube.(9) Well, you did not expect to read 350 pages straight cover to cover and then know Quantum Mechanics, did you? This is a 6 to12 month project – reading, watching YouTube lectures, frantic note taking hoping you might understand it later (the iPad pause button being a luxury unavailable in university lectures), revision, pushing forward, retreating, then finally with your newfound knowledge applying for a job at CERN.(10) Page xix.(11) Lecture 1, Quantum Mechanics(12) Page xx.(13) Avogadro's number, number of units in one mole of any substance (being its molecular weight in grams) ≈ 6×1023.(14) Speed of Light: c ≈ 3×108 m/s.(15) Planck’s Constant: The energy contained in a photon, the smallest possible ‘packet’ of energy in an electromagnetic wave ≈ 6.6x10-34 joule-seconds.(16) Realistically, for those who think they know classical Newtonian Physics and remember studying vectors and matrices, exponentials such as eiθ = cosθ + isinθ and who once knew the expansion of sin(θ + Φ).(17) Lecture 9, Quantum Entanglements(18) Lecture 4, Quantum Mechanics(19) Page 11, Quantum Mechanics – The Theoretical MinimumMalcolm Cameron8 May 2016
Goes through the basics of Quantum, with the goal of:* Not loosing the reader in the math* Not dropping so much math, that it all becomes abstract bullsh*tGreat introduction, or review if you've had quantum.Also, if you are learning quantum for the first time, it's highly recommended, since it emphasizes the CONCEPTS and CONSEQUENCES, rather than getting you lost in lengthly (and not terribly useful) derivations.
Following the Stanford online lecture series, Susskind and Friedman's new book introduces the reader to the field of quantum mechanics assuming little prior knowledge. The book does take a mathematical approach, though it is relatively light, and introduces some substantial concepts and results. It probably makes sense to read the book as well as watch the lectures but this book is self contained and approachable. The writing style is engaging and the book has various exercises that can help the reader confirm their understanding.The book starts by considering how to think about states of a system and measurement. In particular ideas about intrinsic spin are more or less the starting point of discussing quantum mechanics. This is a different track to most other introductory QM authors but the point is to introduce the most simple quantum mechanical Hilbert space, namely the space where spin vectors reside. The author goes through things like Pauli Matrices and commutating operators. The author discusses the postulates of quantum mechanics and results from Hermitian operators as well as the uncertainty principle. The author introduces time dependent Schrödinger equation naturally by first looking at the eigenstate solutions and then the superposition. The author then gets into the concept of entanglement. Another concept that usually comes later in quantum mechanics but is introduced naturally in the book. The basics of tensor products are considered and the authors work through canonical examples of entangled states and the uniqueness of them to quantum mechanics. There are aspects of this part which can be challenging to follow but watching the lectures online can help the reader who might feel a bit lost. The authors then discuss particle wave duality and the collapse of the wave function. And finally the authors get to the harmonic oscillator and discuss ladder operators and the solutions to the harmonic oscillators with the Hermite polynomials. This chapter I found more readable than most quantum mechanical texts so think they did a good job making intuitive a difficult set of ideas.Quantum Mechanics- the theoretical minimum largely achieves its goals of introducing the reader to quantum mechanics when they have little background and are absent a teacher to guide them. It still is a hard subject and this book uses more the simpler toy models than the typical arbitrary wavefunction. I prefer Bowman Essential Quantum Mechanics as a first introduction to the subject which I think is at the same level but I do like this and am glad I read it to get a different flavor of the subject, challenging for the uninitiated, but readable.
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