Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-10-21
Rept.Math.Phys. 43 (1999) 157-170
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX2e, 14pp., to appear in Rep. Math. Phys. (1998)
Scientific paper
10.1016/S0034-4877(99)80024-X
A quantization of field theory based on the DeDonder-Weyl covariant Hamiltonian formulation is discussed. A hypercomplex extension of quantum mechanics, in which the space-time Clifford algebra replaces that of the complex numbers, appears as a result of quantization of Poisson brackets of differential forms put forward for the DeDonder-Weyl formulation earlier. The proposed covariant hypercomplex Schr\"odinger equation is shown to lead in the classical limit to the DeDonder-Weyl Hamilton-Jacobi equation and to obey the Ehrenfest principle in the sense that the DeDonder-Weyl canonical field equations are satisfied for the expectation values of properly chosen operators.
No associations
LandOfFree
DeDonder-Weyl theory and a hypercomplex extension of quantum mechanics to field theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with DeDonder-Weyl theory and a hypercomplex extension of quantum mechanics to field theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and DeDonder-Weyl theory and a hypercomplex extension of quantum mechanics to field theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-267200