ON POTENTIAL MOMENTUM AND MOMENTUM FIELDS IN DYNAMICS

1940 ◽  
Vol 18a (1) ◽  
pp. 1-21
Author(s):  
W. H. Watson

Based on previous work of the writer (2) this paper deals with the specification of dynamical systems via potential momentum and momentum fields, and setting out from the continuous motion formally identical with the meson→electron transformation, opens the study of systems of motions of a single particle defined by[Formula: see text]where Fρσ is not an antisymmetric tensor. Fields which, in addition to the usual electromagnetic effects, change the rest-mass of a particle moving under their action, and which are caused by the creation or destruction of electric charge, are proposed as the classical model for neutrino radiation.

1945 ◽  
Vol 23a (2) ◽  
pp. 33-38
Author(s):  
W. H. Watson

The theory is based on equations previously proposed (2) associating with ordinary electromagnetic fields a field which may change the rest-mass of the particles on which it acts. The sources of the new field component [Formula: see text] are places where charge is being created or destroyed. A new interpretation is given to the length e2/mc2, and it is proposed that the e.m. potentials (ϕ,a) be given absolute values in the theory of fields containing electrons. Thus the mass of an electron is determined by the length of the potential four-vector at the place where it is created, and[Formula: see text]The introduction of the N-component into quantum electrodynamics is discussed.


1987 ◽  
Vol 97 (2) ◽  
pp. 141-169
Author(s):  
A. Z. Capri ◽  
M. Kobatashi

2010 ◽  
Vol 693 (4) ◽  
pp. 503-508 ◽  
Author(s):  
G. Alencar ◽  
R.R. Landim ◽  
M.O. Tahim ◽  
C.R. Muniz ◽  
R.N. Costa Filho

1989 ◽  
Vol 501 (6) ◽  
pp. 439-444 ◽  
Author(s):  
S. N. Solodukhin

1989 ◽  
Vol 6 (8) ◽  
pp. 1125-1140 ◽  
Author(s):  
P Howe ◽  
S Penati ◽  
M Pernici ◽  
P K Townsend

1993 ◽  
Vol 08 (05) ◽  
pp. 929-945 ◽  
Author(s):  
N. MAGGIORE ◽  
S.P. SORELLA

Perturbation theory for a class of topological field theories containing antisymmetric tensor fields is considered. These models are characterized by a supersymmetric structure which allows us to establish their perturbative finiteness.


1989 ◽  
Vol 9 (3) ◽  
pp. 427-432 ◽  
Author(s):  
Renato Feres ◽  
Anatoly Katok

AbstractWe consider in this note smooth dynamical systems equipped with smooth invariant affine connections and show that, under a pinching condition on the Lyapunov exponents, certain invariant tensor fields are parallel. We then apply this result to a problem of rigidity of geodesic flows for Riemannian manifolds with negative curvature.


1988 ◽  
Vol 37 (10) ◽  
pp. 2872-2877 ◽  
Author(s):  
Chandra Pathinayake ◽  
Alexander Vilenkin ◽  
Bruce Allen

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