The principles of Newtonian and quantum mechanics pdf
The principles of Newtonian and quantum mechanics pdf : Pages 382
By Maurice De Gosson, M. A. De Gosson
the need for Planck’s constant, h
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.