Quantum Evolution: An Introduction to Time-Dependent Quantum Mechanics 1st Edition by James E. Bayfield | (PDF) Free Download

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A unique introduction to the concepts of quantum mechanics, Quantum Evolution addresses the present status of time-dependent quantum mechanics for few-body systems with electromagnetic interactions. It bridges between the quantum mechanics of stationary quantum systems and a number of recent advanced theoretical treatises on various aspects of quantum mechanics. The focus is on strongly-quantum and semi-classical systems, including the quantum manifestations of orderly and chaotic nonlinear classical dynamics.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐A very enjoyable technical survey of a few time-dependent problems of quantum mechanics. The mathematical developments are kept at a minimum but deep familiarity with the technical domain is assumed. Close attention is paid to how the results of calculations can be verified by experimental results. The author discusses the classical problems and then proceeds to their quantum analogues. The author also outlines useful approaches to the numerical solutions of these problems.

⭐I was primarily interested in the second chapter of this book because it deals with how specific quantum systems change with time, and how these changes differ from those in classical systems. In particular I was interested in the motion of an electron in a elliptical Kepler orbit around a hydrogen atom. The calculations discussed in this book show that as a Gaussian electron wave function makes its way around an elliptical atomic orbit, it first spreads, but then contracts as it completes its orbit–a behavior similar to that of a distribution of classical particles.As the quantum electron continues its orbit, however, more than one peak in the probability distribution appears along the orbit, which is a feature not shared by orbiting classical electrons. The authors call this spreading of the electron wave function wave function “collapse” and the contraction of the Gaussian later on as wave function “revival.” The results of atomic laser photo-ionization experiments are also included and are shown to agree with the collapse and revival of Gaussian electron wave functions.I was hoping that the discussion found in this book might provide some insight into the more general phenomenon of wave function collapse. For me, however, the topic discussed in this book seems somewhat far from the quantum measurement-related process that I have in mind when I think of wave function collapse. These studies of Gaussian electron wave functions in a elliptical atomic orbits do, however, make me wonder if an incident electron plane wave captured by a solid might orbit around an atom as a Gaussian wave packet at some point in its travels. In this case the electron as an orbiting wave packet may be seen as part of the process that ultimately collapses the electron plane wave into a stable atomic wave function. Such thoughts correspond to my favorite example–that of an incident electron in an electron microscope that is captured by electron-sensitive film, or by a thick scanning electron microscope sample.

⭐This book presents a good introduction for graduate students looking for research topics. It starts out with classical integrable systems, semi-classical quatization on tori, classical phase space “formulations” (D Styer, Phys Today, Sept. 2000, Amer J Phys, Mar 2002), e.g. Torres-Vega and Frederick’s phase space studies of the Gaussian wavefunction scattering by the step potential, and moves on to review many published studies in chemical physics: Dynamical tunneling of the clean and dirty (E J Heller, J Phys Chem, Riceschrift, 1995) eigenfunctions of the Henon-Heiles system, the kicked systems, and so on. As pointed out by Linda Reichl in her review in Amer J Phys (Mar 2002), this book is strong on quantum external control, Reichl also mentioned that it does not contain exercises for students, thus less attractive as a text. The book is also too broad and too brief about things, ranging from semi-classical quantization to FFT Schrodinger propagation (Feit, Fleck, Steigen, & Hermann and Kosloff & Kosloff). Comparing this book with others, e.g. Semiclassical Physics by Brack and Bhaduri, Quantum Chaos: An Introduction by Stockmann (see Heller’s review in Phys Today, Jan 2001), Transition to Chaos by Linda Reichl, Quantum Signature by Haake, (Gutzwiller book is more advanced), it is more in the level of Brack and Bhaduri. By the way, most figures in the book are reproductions of the original literature. The book’s way of indexing is worth mentioning, the primary reference to a term stands out in bold face and all other references to the same term in regular fonts.

⭐I just started reading this book. On page 2, the author says:”…Neptune’s moon Mirander’s scarred…” The planet is Uranus and the moon is Miranda. This is poor editing and a stupid error.I hope this is corrected in future or paperback editions.

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