Quantum Newton's law

DOI10.1016/S0375-9601(01)00312-7zbMath0969.81535arXivquant-ph/0103071MaRDI QIDQ5936281

A. Bouda, T. Djama

Publication date: 10 July 2001

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0103071

zbMATH Keywords

Hamilton-Jacobi equationequivalence postulatethird-order equation of motion

Mathematics Subject Classification ID

Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (7)

Band theory in the context of the Hamilton-Jacobi formulation ⋮ Extending Newton's law from nonlocal-in-time kinetic energy ⋮ Quantum law of motion: Analysis and extension to higher dimensions ⋮ Interference, reduced action, and trajectories ⋮ The three-dimensional quantum Hamilton-Jacobi equation and microstates ⋮ The quantum reduced action in higher dimensions ⋮ From a Mechanical Lagrangian to the Schrödinger Equation: A Modified Version of the Quantum Newton Law

Cites Work

• Quantum transformations
• The Ermakov invariant for the trajectory representation of quantum mechanics
• CLASSICAL LIMIT OF THE TRAJECTORY REPRESENTATION OF QUANTUM MECHANICS, LOSS OF INFORMATION AND RESIDUAL INDETERMINACY
• THE EQUIVALENCE POSTULATE OF QUANTUM MECHANICS
• Equivalence principle, higher-dimensional Möbius group and the hidden antisymmetric tensor of quantum mechanics
• Quantum mechanics from an equivalence principle

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