- Taschenbuch: 371 Seiten
- Verlag: Dover Pubn Inc; Auflage: Emended. (30. Juli 2010)
- Sprache: Englisch
- ISBN-10: 0486477223
- ISBN-13: 978-0486477220
- Größe und/oder Gewicht: 1,9 x 15,9 x 23,5 cm
- Durchschnittliche Kundenbewertung: 2 Kundenrezensionen
- Amazon Bestseller-Rang: Nr. 63.024 in Fremdsprachige Bücher (Siehe Top 100 in Fremdsprachige Bücher)
Dover Books on Physics: Quantum Mechanics and Path Integrals (Englisch) Taschenbuch – 30. Juli 2010
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My impression is that Feynmann has difficulty finding the core of the point he is trying to make. Often his examples are terribly complicated, and I'm afraid the main point is lost. As to physical explanation, I find he launches immediately into manipulation of formulas, which themselves are not germane to the physical processes. The book gives the feeling of having been written in a hurry, and really lacks polish.
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The path integral approach, so clearly explained in this volume, derived from Feynman's graduate research at Princeton where he applied variational principles to quantum mechanics. This, in turn, was motivated by a seminal 1932 paper of Dirac.
At the time, the formalism appeared to provide only an elegant means of deriving the wave equation without achieving any new results. But elegant mathematics always seems to have a way of finding application in physics. Just look at how formerly "obscure" topics like Lie algebras and differential geometry have become part of the essential language of particle physics. And path integral methods have proved useful in fields ranging from quantum electrodynamics to acoustic propagation.
Like all of Feynman's works, this text combines sound, if unconventional, mathematics with remarkable physical insight. There is still no better introduction to the topics treated here. This book is required reading for anyone wishing to understand quantum mechanics (at least in so far as anyone can understand quantum mechanics) and who intends to pursue more advanced topics.
The idea of path integration is simple. It supposes that whenever an object moves from one location to another, it, in a sense, "traces" out all possible paths between the locations. To determine how the object moves, we must consider contributions from all these paths. Feynman explains in this book, with an easy-to-understand writing style, how to perform such integrals, with an eye to practical problems.
Feynman's path integral approach to quantum theory, which he uses in this book, has a vast number of advantages over the Shrodinger Approach, which is used in standard quantum textbooks. For one thing, Feynman's approach is based on only two extremely simple postulates, while the Shrodinger approach is based on a relatively complex equation. Furthermore, Feynman's approach gets students thinking about what Quantum Mechanics actually means, while the Shrodinger approach involves less thinking and more calculation. Feynman's book and his theory encourage students to look at the foundations of quantum theory,and not just the actual calculations.
I am not joking here: this book deserves to be among the classic pieces of literature from the twentieth century. It is such a groundbreaking book because it reveals a deep, bizzare, and counter-intuitive world at the basis of all reality. Every college student should read this to grasp how amazing the universe is.
No one could explain things like Feynman. He was unique. You need a pretty solid background in classical mechanics and mathematics, and some effort is needed, but this book is well worth the effort.