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Principles Of Newtonian And Quantum Mechanics, The: The Need For Planck's Constant, H (Hardcover, Second Edition)
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Principles Of Newtonian And Quantum Mechanics, The: The Need For Planck's Constant, H (Hardcover, Second Edition)
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The second edition of this book deals, as the first, with the
foundations of classical physics from the 'symplectic' point of
view, and of quantum mechanics from the 'metaplectic' point of
view. We have revised and augmented the topics studied in the first
edition in the light of new results, and added several new
sections. The Bohmian interpretation of quantum mechanics is
discussed in detail. Phase space quantization is achieved using the
'principle of the symplectic camel', which is a deep topological
property of Hamiltonian flows. We introduce the notion of 'quantum
blob', which can be viewed as the fundamental phase space unit. The
mathematical tools developed in this book are the theory of the
symplectic and metaplectic group, the Maslov index in a rigorous
form, and the Leray index of a pair of Lagrangian planes. The
concept of the 'metatron' is introduced, in connection with the
Bohmian theory of motion. The short-time behavior of the propagator
is studied and applied to the quantum Zeno effect.
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