ENGLISH

The principles of Newtonian and quantum mechanics

By de Gosson M.A.

Book information

Publisher
ICP
Year
2001
ISBN
1860942741, 9781860942747
Open Library ID
OL17078812M
Language
english
Format
DJVU
Filesize
2 MB (2093660 bytes)
Pages
382\382
Library
Kolxo3
DPI
300
Time added
2011-07-22 07:35:22

Description

This work 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 introduced, in connection with the Bohmian theory of motion. A precise form of Feynman's integral is introduced in connection with the extended metaplectic representation.

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