Basic Equations

Wolfgang Kinzel, G. Reents

L.D. Faddeev, L.A. Khalfin, I.V. Komarov

In what follows such a system will be called a “basic system.” A basic system having been found, the most difficult part of the problem from the mathematical point of view is overcome. First, by means of the basic system one can calculate the matrices satisfying the equations of motion; second, the transition probabilities; and finally, as will be shown in the subsequently published paper of the author, it is possible to find the general solution of the Dirac statistical equation.

K. B. Korotchenko

The basic principles of the quantum mechanics in the K-field formalism are stated in the paper. The basic distinction of this theory arises from that the quantum theory equations (including well-known Schrodinger, Klein-Gordon and quadratic Dirac equations) are obtained from de Broglie postulate geometric generalization. Rather, they are obtained as the free wave equations on a manifold metrizing force interactions of particles. Such view on the quantum theory basic equations allows one to use semiclassical models for the quantum system simulation. The quantization principle modifies as well. Namely, quantum system stationary conditions are such conditions, at which test particles motion is Lyapunov stable.

Arno Böhm

Arno Böhm

Hui Liang

Schordinger's equation is the basical equation of quantum mechanics,which is equivalent to Newton's motion equation in classical physics. This paper compares the differences between quantum mechanics and classical physics by means of discussing the description of motion state and the expression of mechanic quantity of microcosmic particles in Schordinger's equation. It can be seen in this paper that the basical principle of quantum mechanics is the statistical one, while the basical principle of classical physics is the determinism and the strict causality. But under the h→0 limit in Planck constant, quantum mechanics will go beyond normal limit to classical physics.