It came back unexpectedly about two millennia later under the guise of the Zitterbewegung
or trembling motion of the relativistic electron that Erwin Schrodinger discovered in Dirac's theory of electrons and positrons.
In 1930, while analyzing possible solutions to the Dirac equation, Schrodinger identified a term called the Zitterbewegung
that represents an unexpected oscillation whose amplitude is equal to the Compton wavelength.
. Equations (149) can be solved, with the result for [x.sup.i](t) being [x.sup.i] = [a.sup.i] + d[p.sub.i]t + [c.sup.i] exp(-(2iH/[??])t).Thefirst and second terms are expected and describe a motion along the straight line.
As the Dirac theory has a vacuum including Zitterbewegung
oscillations between positive and negative energy states and perfectly explains an interaction of a Dirac particle with an atomic structure of the materials, it gives a reasonable cosmological solutions for the early-time inflation and late-time acceleration of the universe .
2 exhibit oscillations which are produced by the systematic nature of the sampling and are connected with the oscillating term of Var(V) called Zitterbewegung
(Matheron, 1971; Kieu, 1997; Garcia-Finana and Cruz-Orive, 2000).
Hestenes, "The Zitterbewegung
Interpretation of Quantum Mechanics," Found.
Apart randomness, this interpretation agrees with the Schrodinger's zitterbewegung
; i.e., electrons describe random curvilinear paths (Compton's angular frequency) at the light speed.
The concept of q-deformation is also applied to the investigation of the connection of q-deformed DO with quantum optics and the existence of the well-known Zitterbewegung
in relativistic quantum dynamics of the problem in question.
The first term on the right is routinely interpreted to represent the internal movements of the electron, the 'Zitterbewegung
Mobed, "Effects of space-time curvature on Spin-1/2 particle zitterbewegung
," Classical and Quantum Gravity, vol.
The Dirac electron executes rapid oscillations superimposed on its normal average translational motion and this oscillatory motion is known as zitterbewegung
and it was first shown by Schrodinger.
Unal, "Kernel of the classical zitterbewegung
," Foundations of Physics, vol.