17 citations · 32 across the 7 of their papers we have counts for
4 papers · 1 filter
Chiral Symmetry in Dirac Equation and its Effects on Neutrino Masses and Dark Matter
T. B. Watson, Z. E. Musielak
Chiral symmetry is included into the Dirac equation using the irreducible representations of the Poincaré group. The symmetry introduces the chiral angle that specifies the chiral…
Gauge Functions in Classical Mechanics: From Undriven to Driven Dynamical Systems
Z. E. Musielak, L. C. Vestal, B. D. Tran +1
Novel gauge functions are introduced to non-relativistic classical mechanics and used to define forces. The obtained results show that the gauge functions directly affect the energ…
General null Lagrangians, exact gauge functions and forces in Newtonian mechanics
Zdzislaw E. Musielak, Timothy B. Watson
A method to construct general null Lagrangians and their exact gauge functions is developed. The functions are used to define classical forces independently from Newtonian dynamics…
Gauge Functions and Galilean Invariance of Lagrangians
Z. E. Musielak, T. B. Watson
A novel method to make Lagrangians Galilean invariant is developed. The method, based on null Lagrangians and their gauge functions, is used to demonstrate the Galilean invariance…