Classical equations of motion and algebras of quantum observables

2009/11/25 by M. A. Sokolov, Sokolov, M. A.
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Neural Networks and Reservoir Computing #Quantum Mechanics and Applications #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.0911.4836

openalex publication_date 2009/11/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work simple and effective quantization procedure of classical dynamical systems is proposed and illustrated by a number of examples. The procedure is based entirely on differential equations which describe time evolution of systems.

Citations

• The Principles of Quantum Mechanics

Related

• Observables in Motion: A guide to simulating classical and quantum dynamics
• Equation of Motion for the Quantum Characteristic Functions
• Quantum-Classical System: Simple Harmonic Oscillator
• Ambiguities in Quantizing a Classical System
• Unifying Quantum and Classical Dynamics