Annotation
Physically preferable self-adjoint expansion of a Hamiltonian with a property of $s(s+ 1)х^{-2}, — 1/2 < s < 1/2$ is selected. It is used to indicate a method for continuation through point $x=0$ of solutions of the Schr$\stackrel{..}{o}$edinger equation with a potential with the same property. After this standard rules are used to find the unambiguous coefficient of passage T of the $\lambda x^{-2}$ barrier (pit). In light of the uniformity of the Hamiltonian this coefficient in the absence of the additive barrier $h\delta (x)$ is not a function of energy. The coefficient T for a Coulomb barrier (pit) is cited.
© 2016 Publisher M.V.Lomonosov Moscow State University
Authors
V.B. Gostev, A.R. Frenkin
Department of Theoretical Physics, Faculty of Physics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia
Department of Theoretical Physics, Faculty of Physics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia