Item description for Schrodinger's Mechanics (World Scientific Lecture Notes in Physics) by David B. Cook...
Schrodinger's Mechanics (World Scientific Lecture Notes in Physics) by David B. Cook
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Studio: World Scientific Publishing Company
Est. Packaging Dimensions: Length: 8.5" Width: 6.14" Height: 0.55" Weight: 0.79 lbs.
Publisher World Scientific Publishing Company
ISBN 9971507609 ISBN13 9789971507602
Availability 0 units.
More About David B. Cook
David Cook, Assistant Professor of Religious Studies at Rice University, is author of "Studies in Muslim Apocalyptic "(2002).
David B. Cook was born in 1959 and has an academic affiliation as follows - University of Sheffield.
Reviews - What do customers think about Schrodinger's Mechanics (World Scientific Lecture Notes in Physics)?
Captures the Physical Truth Jun 16, 2009
I have always been interested in discovering the physical truth - i.e. what is the truthful content of any specific physical theory as opposed to the non-sense that accompanies every physical theory that we have. It is my opinion that Professor Cook has established the truth of Quantum Theory in this small book.
I found the book humble - it is not attempting a synthesis that ties all the extant physical and mental phenomena to QM. It is not trying to explain Quantum Field Theory or String Theory. It is not resorting to all sorts of poorly thought out pseudo-philosophical sleigh of hand arguments to make the subject more complicated, mysterious, and thus romantic. Additionally, there is no mathematical infrastructure in this book beyond the standard calculus and differential equations of a typical physics curriculum, which is a particular strength of the book.
The author's main thesis is that Schrodinger's Mechanics, as embodied in the Schrodinger's Equation, may be interpreted as the mechanics of deviations from classical trajectories - in the sense of Hamilton-Jacobi Theory - that are governed by the Schrodinger Condition. That is, in QM, the ensemble average of the deviations of the action functional for particle trajectories from the classical trajectories is on order of the Planck's constant. In essence, since the solutions of the Hamilton-Jacobi equations include all possible trajectories, the Schrodinger's Condition only picks out a subset of all possible trajectories. [We have already seen analogous arguments in the formulation of the canonical and the grand canonical ensembles.] This is a new Law of Nature - so to speak.
He covers a lot of additional grounds in this book - for example - I found his discussion of the recipe for creating quantum operators for classical variables quite illuminating. He also gives the form of the Schrodinger's Equation in generalized curvilinear coordinates - the first time I have ever seen that.
I think I should state that I found this book particularly sympathetic since I had earlier in my life rejected the Copenhagen and the Many Worlds interpretations of QM as being devoid of physical truth and only fit for fruitless intellectual masturbation. I had been greatly influenced in my views towards QM by the article "The Statistical Interpretation of Quantum Mechanics" by L. E. BALLENTINE that appeared in Rev. Mod. Phys. 42, 358 - 381 (1970).
I highly recommend this book - and a companion volume by the same author titled "Probability and Schrodinger's Mechanics" - as an excellent place to learn about the physical truth of Quantum Mechanics. The mathematics and physics is accessible to a 3rd year undergraduate student in physics.