Quantum mechanics in classical dynamics

DOI10.1063/1.532209zbMath0899.70010OpenAlexW2017824468MaRDI QIDQ4384776

Andrew C. Millard

Publication date: 17 November 1998

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.532209

zbMATH Keywords

dynamical systemPoisson bracketphase spaceassociative ringquantum mechanical evolutionconjugation operationanti-self-adjoint operatorsclassical flow

Mathematics Subject Classification ID

Hamilton's equations (70H05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Cites Work

• Classical mechanics as an example of generalized quantum mechanics
• Quaternionic analysis
• Elliptic eigenstates for the quantum harmonic oscillator
• A classical extension of quantum mechanics
• Complex Coordinates and Quantum Mechanics

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