| 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 obtained. As a result, the center of mass follows along a complicated
trajectory round a direction of motion of the center of inertia. This motion can be
interpreted as Zitterbewegung. It is shown that equation of moments is a consequence
of the equation of motion. 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 electrical charge, sign of
which corresponds to a sign of spin polarization. |
