Quantum theory of particles and fields as an extension of a probabilistic variational approach to classical mechanics and classical field theory: I
Abstract
A theoretical scheme, based on a probabilistic generalization of Hamilton's principle, is elaborated to obtain a unified description of more general dynamical behaviors determined both from a Lagrangian function and by mechanisms not contemplated by this function. Within this scheme, quantum mechanics, classical field theory and a quantum theory for scalar fields are discussed. As a byproduct of the probabilistic scheme for classical field theory, the equations of the De DonderWeyl theory for multidimensional variational problems are recovered.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 October 2009
 DOI:
 10.1088/17518113/42/39/395401
 arXiv:
 arXiv:0902.4429
 Bibcode:
 2009JPhA...42M5401V
 Keywords:

 Quantum Physics
 EPrint:
 J.Phys.A42:395401,2009