V. V. Vedenyapin, N. I. Karavaeva, O. A. Kostiuk, B. N. Chetverushkin, “Schrödinger equation as a consequence of new Vlasov type equations”, Keldysh Institute preprints, 2019,026, 11 pp.

Schrödinger equation as a consequence of new Vlasov type equations

V. V. Vedenyapin, N. I. Karavaeva, O. A. Kostiuk, B. N. Chetverushkin

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.

Keywords: Schrödinger equation, equations of the Vlasov and Lamb types, stationary solutions.

DOI: 10.20948/prepr-2019-26