Classical mechanics in phase space revisited
Abstract
A Bose type of classical Hamilton algebra, i.e., the algebra of the canonical formalism of classical mechanics, is represented on a linear space of functions of phase space variables. The symplectic metric of the phase space and possible algorithms of classical mechanics (which include the standard one) are derived. It is shown that to each of the classical algorithms there is a corresponding one in the phase space formulation of quantum mechanics.
 Publication:

Pramana
 Pub Date:
 March 1978
 DOI:
 10.1007/BF02872025
 Bibcode:
 1978Prama..10..273S
 Keywords:

 Canonical Forms;
 Classical Mechanics;
 Function Space;
 Quantum Mechanics;
 Theoretical Physics;
 Algebra;
 Algorithms;
 Bose Geometry;
 Complex Systems;
 Hamiltonian Functions;
 Linear Systems;
 Mathematical Models;
 Physics (General)