Quantum fluid mechanics and trajectories
Published on:
2 May 2024
Primary Category:
Quantum Physics
Paper Authors:
James P. Finley
Bullets
Key Details
Derives energy, continuity and Euler equations for quantum states
Shows equivalence of these equations to the Schrodinger equation
Extends formalism to trajectories using Lagrangian mechanics
Obtains single-particle equations generalizing Hartree-Fock
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Quantum fluid mechanics and trajectories
This paper develops a formalism to describe quantum states in terms of familiar equations from classical mechanics for both fluid flow and particle trajectories. Key results include deriving energy, continuity, and Euler fluid equations analogous to those in classical mechanics, showing their equivalence to the time-dependent many-body Schrodinger equation, and obtaining Lagrangian mechanics and generalized single-particle equations.
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