Email this article Schrödinger Equation as a Self-Consistent Field
- Authors: Vedenyapin V.V.1,2, Kazakova T.S.3, Kisselevskaya-Babinina V.Y.3, Chetverushkin B.N.1
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Affiliations:
- Keldysh Institute of Applied Mathematics
- RUDN University
- Moscow Institute of Physics and Technology (State University)
- Issue: Vol 97, No 3 (2018)
- Pages: 240-242
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225503
- DOI: https://doi.org/10.1134/S1064562418030122
- ID: 225503
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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.
About the authors
V. V. Vedenyapin
Keldysh Institute of Applied Mathematics; RUDN University
Author for correspondence.
Email: vicveden@yahoo.com
Russian Federation, Moscow, 125047; Moscow, 117198
T. S. Kazakova
Moscow Institute of Physics and Technology (State University)
Email: vicveden@yahoo.com
Russian Federation, Dolgoprudnyi, Moscow oblast, 141700
V. Ya. Kisselevskaya-Babinina
Moscow Institute of Physics and Technology (State University)
Email: vicveden@yahoo.com
Russian Federation, Dolgoprudnyi, Moscow oblast, 141700
B. N. Chetverushkin
Keldysh Institute of Applied Mathematics
Email: vicveden@yahoo.com
Russian Federation, Moscow, 125047
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