Quantization from motion equations

DOI10.1007/BF00675202zbMath0779.70015OpenAlexW2085434890MaRDI QIDQ689307

Dehai Bao, Zhong-yuan Zhu

Publication date: 30 November 1993

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00675202

zbMATH Keywords

classical systemsHelmholtz condition

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Lagrange's equations (70H03)

Cites Work

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• Equations of motion, commutation relations and ambiguities in the Lagrangian formalism
• The Helmholtz conditions revisited. A new approach to the inverse problem of Lagrangian dynamics
• Feynman’s proof of the Maxwell equations
• Equivalent Lagrangians: Multidimensional case
• The Helmholtz conditions in terms of constants of motion in classical mechanics
• No Lagrangian? No quantization!
• Ordering problem in geometrical quantization
• Foundations of Quantum Mechanics
• The Problem of Measurement
• Solution of the Inverse Problem of the Calculus of Variations
• Do the Equations of Motion Determine the Quantum Mechanical Commutation Relations?
• Model of the Causal Interpretation of Quantum Theory in Terms of a Fluid with Irregular Fluctuations
• On the inverse problem of the calculus of variations

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