Numerical search for the states with minimal dispersion in quantum mechanics with non-negative quantum distribution function

We consider problems of quantum mechanics of Kuryshkin which pass to eigenvalue problem of conventional quantum mechanics when passing to the limit. From the demand of experimental confirmation of the theory's results are derived linearized equations for eigenstates of observables. The method of solving derived equations is illustrated on an example of hydrogen-like atom, for which were constructed matrices Oij(H) and Oij(H2). An example of the solution is presented. © Springer-Verlag Berlin Heidelberg 2005.