Classical Dynamics and Its Quantum Analogues by David Park (PDF)

Description

The short Heroic Age of physics that started in 1925 was one of the rare occasions when a deep consideration of the question: What does physics really say? was necessary in carrying out numerical calculations. In many parts of microphysics the calculations have now become relatively straightforward if not easy, but most physicists seem to agree that some questions of principle remain to be resolved, even if they do not think it is very important to do so. This situation has affected the way people think and write about quantum mechanics, a gingerly approach to fundamentals and a tendency to emphasize what fifty years ago was new in the new theory at the expense of continuity with what came before it. Nowadays those who look into the subject are more likely to be struck by unexpected similarities between quantum and classical mechanics than by dramatic contrasts they had been led to expect. It is often said that the hardest part of understanding quantum mechanics is to understand that there is nothing to understand; all the same, to think quantum­ mechanically it helps to have firm mental connections with classical physics and to know exactly what these connections do and do not imply. This book originated more than a decade ago as informal lecture notes [OP, prepared for use in a course taught from time to time to advanced undergraduates at Williams College.

User’s Reviews

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

⭐This exposition has remained a favorite of mine for many a year. The author has presented an account of the interrelationships between the two pillars of physics: Classical and Quantum Mechanics. The writing is crisp and scholarly. Attention is paid to historical accuracy, although this is not an historical rendering of either topic. The chapters span many elements encountered in the standard undergraduate treatments of either subject, but the perspective offered is predisposed to showing similarities (as opposed to contrasts) between the two. Many exercises are interspersed throughout the exposition, some with full solutions. The exercises are utilized as a vehicle to elaborate upon textual dialogue, many are unique (including say, #1.38, 3.32, 4.26 and 6.95). Chapters include lucid discussion of Lagrangians, Hamiltonians, Rigid Bodies, Poisson brackets, and a nice expose’ revealing interplay between Heisenberg, Schrodinger and Feynman formulations. Some pedagogic gems include: succinct discussion of the Aharonov-Bohm Effect (7.4), interlude on classical optics in Hamilton-Jacobi theory (6.9) and a brief on spinors (9.7, second edition ).This monograph is unique in outlook and is highly readable. We read:(1) “we are going to establish mathematical connections between classical and quantum mechanics.” (page 1, first edition).(2) “…the WKB theory does more than enable us to derive and correct equations of the old theory; it helps us to understand how the new one is related to what went before.” (page 207 ).(3) “…there really isn’t any ‘matter-wave’ in the same sense that there is a sound wave or an ocean wave.” (page 209).(4) “…here, in a new situation, words from the old language are not to be used literally but rather as metaphors or parables.” (page 335 ).If one chooses to expand upon (or supplement) the usual texts on these separate subjects, then this is a prime candidate. There are two editions of this text (1979,1990). Either edition (or both, as I have done) are recommended for perusal.

⭐Pags 246,247, 248, 262, 263 e 264 impressão incompleta, primeiras colunas na esquerda ausentesEsses erros aparecem também nas cópias PDF acessíveis na internet, ou seja é uma falha generalizada

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