Schrödinger Equation as a Self-Consistent Field

V. V. Vedenyapin^a^,^b^,*, T. S. Kazakova^c, V. Ya. Kisselevskaya-Babinina^c, and Academician of the RAS B. N. Chetverushkin^a
Translated by I. Ruzanova

^aKeldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, 125047 Russia

^bRUDN University, Moscow, 117198 Russia

^cMoscow Institute of Physics and Technology (State University), Dolgoprudnyi, Moscow oblast, 141700 Russia

Correspondence to: *e-mail: vicveden@yahoo.com

Received 1 February, 2018

Abstract—It is well known that the Schrödinger equation can be reduced to the Hamilton–Jacobi equation in Bohmian mechanics. Corresponding new equations of the Vlasov and Lamb types are derived, and their stationary solutions are investigated.

DOI: 10.1134/S1064562418030122