Quantum Theory of particles and fields as an extension of a probabilistic variational approach to classical mechanics and classical field theory. I

Details Quantum Theory of particles and fields as an extension of a probabilistic variational approach to classical mechanics and classical field theory. I Quantum Theory of particles and fields as an extension of a probabilistic variational approach to classical mechanics and classical field theory. I

2009-02-25

arxiv.org/abs/0902.4429v2

J.Phys.A42:395401,2009

Physics

Quantum Physics

Scientific paper

10.1088/1751-8113/42/39/395401

A theoretical scheme, based on a probabilistic generalization of the Hamilton's principle, is elaborated to obtain an 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 by-product of the probabilistic scheme for classical field theory, the equations of the De Donder-Weyl theory for multi-dimensional variational problems are recovered.

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