The Stokes Parameters in the Group-Theoretic Scheme of Quantum Mechanics

The hidden parameters problem in quantum mechanics is considered here on the base of grouptheoretic
approach which includes the complete set of observables indispensably. The last ones
are the bilinear Hermitian forms constructed from the Schroedinger equation solutions and its first
derivatives, they satisfy the algebraic completeness condition and coincide with the well known
Stokes parameters. These Hermitian forms, obtained for the simplest standard problem of particle
transmission above potential step, had been compared with the Hermitian forms which are usually
considered in this problem, and an additional ones, which may be obtained within the framework of
an ordinary schemes of quantum mechanics. It is shown that the generally recognized schemes of
the problem solution lead to violation of some conservation laws on the step directly. On the contrary,
the group-theoretic approach leads to fulfillment of all necessary conservation laws everywhere at the
same time. It is also shown that the complete set of observables leads a probabilistic interpretation
in quantum mechanics to be excessive.