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72 of 87 people found the following review helpful
5.0 out of 5 stars Quantization.
The concept of 'quantization' has acquired multiple meanings in mathematical physics, since the foundation of quantum mechanics in the 1920ties. I refer to the papers of Heisenberg, Schrodinger, and Dirac which made precise the variables: states, observables, probabilities, the uncertainty principle, dual variables, and the equations of motion. This was also when the...
Published on 21 July 2003 by Palle E T Jorgensen

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8 of 11 people found the following review helpful
3.0 out of 5 stars Paul Dirac Lectures
Provided one has some knowledge of Lagrangian mechaincs and Hamiltonians, this book provides in insight into the methods and thinking of a mathematical genius.
Published on 19 Aug 2011 by D. C. Taylor


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72 of 87 people found the following review helpful
5.0 out of 5 stars Quantization., 21 July 2003
By 
Palle E T Jorgensen "Palle Jorgensen" (Iowa City, Iowa United States) - See all my reviews
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This review is from: Lectures on Quantum Mechanics (Dover Books on Physics) (Paperback)
The concept of 'quantization' has acquired multiple meanings in mathematical physics, since the foundation of quantum mechanics in the 1920ties. I refer to the papers of Heisenberg, Schrodinger, and Dirac which made precise the variables: states, observables, probabilities, the uncertainty principle, dual variables, and the equations of motion. This was also when the wave-particle question received a more precise mathematical formulation, and resolution. Perhaps best known are the equation of Schrodinger, giving the dynamics of systems of quantum mechanical particles, and Dirac's equation for the electron. All three of the pioneers won the Nobel Prize at a young age;-- Schrodinger was a little older than the other two (Heisenberg and Dirac were both born in 1902.) In 1932, John von Neumann showed, surprisingly at the time, that Schrodinger's formulation is equivalent to Heisenbergs matrix mechanics, and von Neumann turned quantization into a field of mathematics. Von Neumann was a contemporary, but trained in mathemetics. His 1932 book "Mathematical Foundations of Quantum Mechanics" was reprinted by Princeton University Press in 1996. Occasionally the link to the foundations of physics have been missed: Reed and Simon quote Edward Nelson: "First quantization is a mystery, and second quantization is a functor." Dirac's lovely little book represents a set of lectures Dirac gave in 1964 at Yeshiva University, at a time when the great master could take advantage of hindsight. The Dover edition didn't appear until 2001. The clarity of Dirac's presentation is truely compelling (no mystery at all!). Very little background is required on the part of the reader. Dirac begins with the Hamilonian method, and then passes to quantization in terms of physics. The mathematics of quantization on curved (and flat) surfaces is clearly presented in the second part of the book. Dirac's ansatz for relativistic theory is Lorentz invariance, and the equations of motion arise naturally as extensions of the 'classical' theory. The Lorentz-invariant action integrals are central, and Dirac covers the Born-Infeld electrodynamics in the last chapter. In total the book is only 87 pages, but Dirac is the master of effective and consise exposition. He also firmly believed that, as a rule, the beauty of the mathematics involved is a good indication that the equation is right for physics. Readers who enjoy popular books by the pioneers in science might like to check out Schrodinger's "What is Life?" reprinted by Cambridge University Press 2002, with a Preface written by Roger Penrose, and a lovely set of biographical sketches, written by Schrodinger, and translated by his granddaughter Verena. And there is a lovely book edited by Pais, Jacob and Atiyah, "Paul Dirac: The Man and his Work" , Cambridge U Press, 1998. ---Review by Palle Jorgensen, July 2003.
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8 of 11 people found the following review helpful
3.0 out of 5 stars Paul Dirac Lectures, 19 Aug 2011
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D. C. Taylor (Coventry England) - See all my reviews
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This review is from: Lectures on Quantum Mechanics (Dover Books on Physics) (Paperback)
Provided one has some knowledge of Lagrangian mechaincs and Hamiltonians, this book provides in insight into the methods and thinking of a mathematical genius.
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1 of 2 people found the following review helpful
5.0 out of 5 stars Amazing science, 18 Nov 2013
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This review is from: Lectures on Quantum Mechanics (Dover Books on Physics) (Paperback)
I recommend these book most warmly to those who want to understand the relationships between the smallest and largest in the universe
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0 of 1 people found the following review helpful
5.0 out of 5 stars Quantum Mechanics, 8 Aug 2013
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Welder Bob "welderbob" (Stellenbosch, South Africa) - See all my reviews
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This review is from: Lectures on Quantum Mechanics (Dover Books on Physics) (Paperback)
Paul Dirac's' unique views on quantum mechanics begins surprisingly simple, but don't let the introductory chapter fool you. Dirac is one of the magicians of the quantum world and well worth study.
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2 of 5 people found the following review helpful
5.0 out of 5 stars This was a mistake!, 5 Mar 2013
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This review is from: Lectures on Quantum Mechanics (Dover Books on Physics) (Paperback)
When I purchased this item, I had in mind books like those of lectures by Richard Feynman, i.e. "The Character of Physical Law", which is very accessible to the reader with some knowledge of Quantum Physics. This book, by the most fascinating man of British science, is however impossible to read, mainly as I am not a student with degree level math skills!
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5.0 out of 5 stars Five Stars, 20 July 2014
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This review is from: Lectures on Quantum Mechanics (Dover Books on Physics) (Paperback)
great
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8 of 22 people found the following review helpful
5.0 out of 5 stars Quantization., 17 Aug 2003
By 
Palle E T Jorgensen "Palle Jorgensen" (Iowa City, Iowa United States) - See all my reviews
(REAL NAME)   
This review is from: Lectures on Quantum Mechanics (Dover Books on Physics) (Paperback)
The concept of 'quantization' has acquired multiple meanings in mathematical physics, since the foundation of quantum mechanics in the 1920ties. I refer to the papers of Heisenberg, Schrodinger, and Dirac which made precise the variables: states, observables, probabilities, the uncertainty principle, dual variables, and the equations of motion. This was also when the wave-particle question received a more precise mathematical formulation, and resolution. Perhaps best known are the equation of Schrodinger, giving the dynamics of systems of quantum mechanical particles, and Dirac's equation for the electron. All three of the pioneers won the Nobel Prize at a young age;-- Schrodinger was a little older than the other two (Heisenberg and Dirac were both born in 1902.) In 1932, John von Neumann showed, surprisingly at the time, that Schrodinger's formulation is equivalent to Heisenbergs matrix mechanics, and von Neumann turned quantization into a field of mathematics. Von Neumann was a contemporary, but trained in mathemetics. His 1932 book "Mathematical Foundations of Quantum Mechanics" was reprinted by Princeton University Press in 1996. Occasionally the link to the foundations of physics have been missed: Reed and Simon quote Edward Nelson: "First quantization is a mystery, and second quantization is a functor." Dirac's lovely little book represents a set of lectures Dirac gave in 1964 at Yeshiva University, at a time when the great master could take advantage of hindsight. The Dover edition didn't appear until 2001. The clarity of Dirac's presentation is truely compelling (no mystery at all!). Very little background is required on the part of the reader. Dirac begins with the Hamilonian method, and then passes to quantization in terms of physics. The mathematics of quantization on curved (and flat) surfaces is clearly presented in the second part of the book. Dirac's ansatz for relativistic theory is Lorentz invariance, and the equations of motion arise naturally as extensions of the 'classical' theory. The Lorentz-invariant action integrals are central, and Dirac covers the Born-Infeld electrodynamics in the last chapter. In total the book is only 87 pages, but Dirac is the master of effective and consise exposition. He also firmly believed that, as a rule, the beauty of the mathematics involved is a good indication that the equation is right for physics. Readers who enjoy popular books by the pioneers in science might like to check out Schrodinger's "What is Life?" reprinted by Cambridge University Press 2002, with a Preface written by Roger Penrose, and a lovely set of biographical sketches, written by Schrodinger, and translated by his granddaughter Verena. And there is a lovely book edited by Pais, Jacob and Atiyah, "Paul Dirac: The Man and his Work" , Cambridge U Press, 1998. ---Review by Palle Jorgensen, August 2003.
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Lectures on Quantum Mechanics (Dover Books on Physics)
Lectures on Quantum Mechanics (Dover Books on Physics) by Paul A. M. Dirac (Paperback - 28 Mar 2003)
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