No comments about Geometric Quantization (Oxford Mathematical Monographs).

2 comments about Quantum Physics.

1. Unfortunately, I had to use this book for a whole year. This book just plain stinks! The author is long winded and waste alot of space doing trivial things. Often, he leaves the more important topics as homework exercises. The explanations he does give are so confusing you'll have to read another book just to know what's going on. If you want a good Quantum Mechanics book, I suggest Sakurai.



2. Explanations are confusing and never structured,
   easily get missed in the middle of disordered discussion,
   inconsistent use of notations and abuse of undefined words..
   Get Sakurai. It's much much much more clear and elegant.
   Even 1 star is too much for this book.

No comments about Lattice Gauge Theories: An Introduction (World Scientific Lecture Notes in Physics).

No comments about Quantum Concepts in Space and Time (Oxford science publications).

4 comments about Quantum Mechanics.

1. This book is a good place to start your introductory study of QM. The historical material at the start provides a good motivaion and perspective on further developments in QM. All the important and pivotal aspects of Nonrelativistic QM are worked out in considerable details and this is a boon for a newcomer. Studying books like Merzbacker or Schiff becomes easy after this. The only shortcoming is the lack of problems, most are exercises.



2. This book provides a very friendly introduction to QM. For its readability, it is surprising the wide range of topics it covers. Most especially is its inclusion of the WKB approx. as well as a fairly exhaustive cover of Interaction of radiation with matter. the authors must be darn good teachers. Buy it !



3. Although over 40 years since it was first published, this book could still serve to give an overview of quantum mechanics at the first-year graduate level. It emphasizes the role of symmetry and the algebraic structure of quantum mechanics, but also endeavors to uncover the physics behind the subject, instead of the just the abstract formalism. Like all books in quantum mechanics, the authors inject comments that are controversial and are still hotly debated, but this serves as a stimulus for the reader to think about the issues at hand. Some of the more interesting and unique features of the book include: 1. The chapter on the historical origins of quantum theory. The authors give a good overview of the experimental situation that brought about quantum mechanics. Earnshaw's theorem, optical spectra, blackbody radiation, the photoelectric effect, and the Franck-Hertz experiment are all cited as examples that could not be explained with classical mechanics or classical electrodynamics. Quantum theory has certainly been successful in explaining these phenomena, but it has yet to be established that the quantum theory is the only (unique) theory of physics that will explain them. Perhaps a different theory, employing a different mathematical formalism, would explain these phenomena. One could perhaps develop a program, using an approach from artificial intelligence such as evolutionary programming or constraint optimization, to develop a "theory" that must satisfy as a side constraint the set of these phenomena (they of course being cast into a suitable quantitative or mathematical form). Experience in the modification of quantum theory by some researchers has led to the belief that quantum theory is a tightly constrained theory: any small changes tend to lead to bizzarre results such as negative probabilities, etc. The authors also give a good discussion in this chapter of the weaknesses of the "old quantum theory"; these weaknesses being ameliorated when the wave nature of matter is postulated. But here again, it is an open question as to whether another (perhaps simpler) conception could be brought in that would improve on the weaknesses of the old quantum theory. Such a conception might not be too motivating to discover however, due to the enormous experimental success of the quantum theory. 2. The authors give an excellent discussion of Fourier analysis early on in the book. In particular, a nice graphical illustration of Parseval's formula is given. Their discussion of the uncertainty principle is based on the mathematical properties of the wave function and its Fourier transform, and by analogy to the standard deviation in statistics. Their discussion therefore softens the "counterintuitive" nature of the uncertainty principle, which has been a concern for many students of quantum theory. 3. The discussion of the spread of a Gaussian wave packet with time. This discussion emphasizes the time scales, and is enormously important in considerations of the time evolution of Gaussian wave packets in potentials. Current research in quantum chaos and the issue of "decoherence" have depended to some degree on the understanding of how Gaussian wave packets spread in time. 4. The discussion on the role of the correspondence principle in selecting the form of the Hamiltonian. The authors remark that the construction of the Hamiltonian function always requires a reference to the classical variables, and so the correspondence principle is an essential part of quantum theory (aside from considerations of spin). This choice however is not unique, and in fact can even be recast into other variables that make the quantum formulation much more difficult. In addition, the quantization of a classical system (described by a certain Hamiltonian) with constraints is very problematic and is the subject of intense research. 5. The normal and quadratic Zeeman effect is given a very clear treatment. The authors emphasize the need for an extremely intense fields if the quadratic effect is to be observed, and they give as an example the absorption spectra of alkali metals, where transitions to highly excited states can be observed in magnetic fields up to 27,000 gauss. Recent research in astrophysics has revealed the importance of the quadratic Zeeman effect in stars after gravitational collapse to white dwarfs.



4. I read this book as an undergraduate student in engineering physics. It can be considered an introduction to Quantum Mechanics even though it is a challenging book to read. It is very mathematical, stringent, and thorough, as well as broad, and it includes a chapter on the historical origins of quantum theory. However, for the novice, I would recommend this book as "a second stepping stone" after reading a "true first introductory text" like "Quantum Physics" by "Robert Eisberg, and Robert Resnick", but that all depends on whether you know something about Quantum Mechanics beforehand, as well as your mathematical background.

   I found Chapter 6 "Operators and Eigenfunctions" to be particularly interesting. The operator formalism in Quantum Mechanics is a powerful tool, and I think the author should have introduced this earlier on and used it more.

No comments about The theory of rate processes;: The kinetics of chemical reactions, viscosity, diffusion and electrochemical phenomena, (International chemical series).

No comments about What Is the Electron?.

No comments about Molecular Beams (The International Series of Monographs on Physics).

2 comments about Time-Dependent Density Functional Theory (Lecture Notes in Physics).

1. Normally on books covering relatively new techniques, some space is given, especially in the basic chapters (as opposed to applied -- in fact the basic chapters are really the most advanced) to problems, whether eexperimental or more fundamental and theoretical, with the model. Such is hardly to be found here. In fact a recent article I saw mentioned that oscillator strengths found in 'velocity' are often not identical with those found from 'lengths', i.e. transition momentum representation versus transition moment representation. In reality, this cannot be true. Thus, there is something fundamentally wrong with the method whenever this happens. It would be nice if a critical account of this were presented. In fact I believe it does all track down to the fact that in ALL DFT methods, one eschews complex-valued functions. In some cases, i.e. Klein-Gordan field-wavefunctions one can simply double up the number of variables, and it makes little difference. Here however, one cannit. The correct radiation Hamiltonian utilizes p/dot/A where A is the vector potential and p the electron momentum. The object over which this operator acts are *spinors*, if they are represented as real, they are 4x4 matrices, if they are represented as complex, they are 2-complex dimensional bivectors. Dirac was well aware that it is impossible to represent interaction with the electromagnetic field in a causal, relativistic theory linear in the covariant space-time derivatives using only real numbers. Q.E.D. Without some very fancy approximation methods, ANY DFT, including TDDFT, is bound to fail. Things get even worse with gauge invariance (perchance as in circular dichroism). Since the vector potential is not always a well defined object, people now talk about gauge connections of the U1 fibre bundle. This object IS well defined in a larger variety of problems. Unfortunately, it really does require one to keep trakc of phases in a complex space. Other relativistic effects could also be expected to suffer with DFT treatments.



2. This book is worth buying whether you are a newcomer or a current researcher in the field of TDDFT. It covers the fundamental concepts as well as the recent updates on the research in this field. All the chapters are written by leading scientists in the field. It is quite rare to find lectures of so many of the current researchers of a field
   together in one book, coherently organized with uniform mathematical notation throughout. The chapters on the memory effect, linear response,beyond linear response and current density functional theory are very well written and explained in much detail. The chapters on the applications of TDDFT beyond linear response are also nicely explained and give a clear idea on the successes and challenges of TDDFT to the reader. All in all, this book is great for readers interested in learning and exploring more about TDDFT

No comments about Foundations of Quantum Group Theory.