Abstract:
AbstractIt 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.
This publication is cited in the following 9 articles:
Konstantin Eduardovich Plokhotnikov, Horizons of mathematical modeling and theory of self-organization. On the occasion of the 95th anniversary of the birth of S.P. Kurdyumova, 2024, 91
K. E. Plokhotnikov, “On the Set of Solutions to the Schrödinger Equation as Illustrated with the Description of Water Clusters”, Phys. Wave Phen., 31:3 (2023), 151
K. E. Plokhotnikov, “About one numerical method of finding positions of hydrogen and oxygen nuclei in water cluster”, Math. Models Comput. Simul., 14:6 (2022), 900–909
K. E. Plokhotnikov, “On the statistical generator of solutions to the Schrodinger equation”, Math. Models Comput. Simul., 15:4 (2023), 591–600
K. E. Plokhotnikov, “Modeling of Water Clusters by Numerical Solution of the Schrödinger Equation”, Phys. Wave Phen., 30:3 (2022), 156
S. Sh. Suleimanova, A. A. Yushkanov, “Electric field near the surface of a plasma with an arbitrary degree of degeneracy as a response to an external alternating electric field”, Theoret. and Math. Phys., 204:1 (2020), 901–917
K. E. Plokhotnikov, “Numerical method for reconstructing the average positions of quantum particles in a molecular system”, Math. Models Comput. Simul., 13:3 (2021), 372–381
V. V. Vedenyapin, N. I. Karavaeva, O. A. Kostyuk, B. N. Chetverushkin, “Uravnenie Shredingera kak sledstvie novykh uravnenii tipa Vlasova”, Preprinty IPM im. M. V. Keldysha, 2019, 026, 11 pp.
K. E. Plokhotnikov, “About one method of numerical solution Schrodinger equation”, Math. Models Comput. Simul., 12:2 (2020), 221–231