Probability and Schrodinger’s Mechanics by David B Cook (PDF)

Description

This book addresses some of the problems of interpreting Schrödinger’s mechanics — the most complete and explicit theory falling under the umbrella of “quantum theory”. The outlook is materialist (“realist”) and stresses the development of Schrödinger’s mechanics from classical theories and its close connections with (particularly) the Hamilton-Jacobi theory. Emphasis is placed on the concepts and use of the modern objective (measure-theoretic) probability theory. The work is free from any mention of the bearing of Schrödinger’s mechanics on God, his alleged mind or, indeed, minds at all. The author has taken the naïve view that this mechanics is about the structure and dynamics of atomic and sub-atomic systems since he has been unable to trace any references to minds, consciousness or measurements in the foundations of the theory.

User’s Reviews

Editorial Reviews: Review recommended to students who do not feel satisfied by the inductive part of their textbooks. — Zentralblatt MATH

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

⭐For Physicists and Applied Mathematicians. An excellent book. The title tells you what Prof. Cook is focussed on. But I was most impressed with his explanation of Hamilton-Jacobi Theory. I love classical mechanics, but I had not appreciated the profound connection between H-J theory and Schrodinger’s mechanics until reading this book. Clearly Schrodinger understood that connection, as Prof. Cook makes clear. Prof. Cook is an enthusiastic teacher, who has thought deeply about his topic. He has serious issues with the present state of Quantum Mechanics, which he frankly explains in this book. I am not comfortable with some of his positions – but this book has helped me greatly to understand the creative leap that H-J and Schrodinger made.A small word of warning. There are typographical or printing errors in some equations.Added later:Professor Cook has done an excellent job of presenting a pedagogical treatment of Schrodinger’s derivation of his eponymous equation that makes more clear what Schrodinger’s equation means. Another small word of warning: on page 152, “similar” does not mean “the same.”

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