TY - BOOK ID - 138555545 TI - The principles of Newtonian and quantum mechanics : the need for Planck's constant, h PY - 2001 SN - 1281865982 9786611865986 1848161425 PB - London : River Edge, NJ : Imperial College Press ; Distributed by World Scientific Pub., DB - UniCat KW - Lagrangian functions. KW - Geometric quantization. KW - Maslov index. UR - https://www.unicat.be/uniCat?func=search&query=sysid:138555545 AB - This book deals with the foundations of classical physics from the "symplectic" point of view, and of quantum mechanics from the "metaplectic" point of view. The Bohmian interpretation of quantum mechanics is discussed. Phase space quantization is achieved using the "principle of the symplectic camel", which is a recently discovered deep topological property of Hamiltonian flows. The mathematical tools developed in this book are the theory of the metaplectic group, the Maslov index in a precise form, and the Leray index of a pair of Lagrangian planes. The concept of the "metatron" is introduc ER -