Schrödinger equation as a self-consistent field

DOI10.1134/S1064562418030122zbMath1403.35257OpenAlexW2883412468MaRDI QIDQ1673700

Peng Zhang

Publication date: 13 September 2018

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562418030122

zbMATH Keywords

Hamilton-Jacobi equationSchrödinger equationBohmian mechanics

Mathematics Subject Classification ID

Hamilton-Jacobi equations (35F21) Vlasov equations (35Q83) Time-dependent Schrödinger equations and Dirac equations (35Q41) Alternative quantum mechanics (including hidden variables, etc.) (81Q65)

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Cites Work

• Time averages and Boltzmann extremals
• The Liouville equation, the hydrodynamic substitution, and the Hamilton-Jacobi equation
• Hyperbolic type explicit kinetic scheme of magneto gas dynamics for high performance computing systems
• On the topology of steady-state solutions of hydrodynamic and vortex consequences of the Vlasov equation and the Hamilton-Jacobi method
• Novel kinetically consistent algorithm for magneto gas dynamics
• Time averages and Boltzmann extremals for Markov chains, discrete Liouville equations, and the Kac circular model
• Bohmian Mechanics
• Entropy in the sense of Boltzmann and Poincaré
• Vlasov-type and Liouville-type equations, their microscopic, energetic and hydrodynamical consequences

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