A new formulation of particle mechanics
The search for an explanation of the movement of the planet, the universe, and everything has been pursued since ancient times. The purpose of this paper is to provide an abstract formulation of the concept of a mechanical system which contains both the classical formulation and the quantum formulation as accepted formulations as special cases. The description of such a structure would clarify the relations between the two and illuminate the role of the correspondence principle in passing from one to the other
Print Book, English, 1966
American Mathematical Society, Providence, R.I., 1966
57 pages ; 26 cm
1308006
Introduction
Classical mechanics
Quantum mechanics
Abstract mechanics
Discussion
Preliminary consequences
The structure of the moment algebra
Representations of the moment algebra
Extensions of the moment algebra
Dynamical aspects
Statistical aspects
Constraints