| Abstract: | Nonrelativistic formalism is developed, which allows describing systems with
internal degrees of freedom in the scalar potential field U, which is a function both on
relative coordinates and time, and on relative speed and accelerations. The equation
for energy, which is an integral of motion when U satisfies to certain differential
condition, is derived for the general case. For a free mass point all solutions of the
equations of motion in the center-of-inertia reference frame, moving with constant
velocity, are found. As a result, the center of mass follows along helical and more
complicated trajectories round a direction of motion of the center of inertia. This
motion can be interpreted as trembling movement (Zitterbewegung). On this basis
a conclusion is done that Zitterbewegung has purely classical origin, arising even
in a nonrelativistic case if internal degrees of freedom are taken into account. The
general equation of motion for a spin which can be interpreted from positions of
a classical mechanics is written down. Application of the obtained results to the
electron leads to new conception of electric charge, sign of which corresponds to a
sign of spin polarization. |
