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Quantization Conditions, 1900-1927

2020/03/10 by Anthony Duncan, Duncan, Anthony, Michel Janssen +1
Mathematics · Physics and Astronomy · #Algorithm #Black-body radiation #Classical mechanics #Commutation #Copenhagen interpretation #FOS: Physical sciences #History and Philosophy of Physics (physics.hist-ph) #Interpretation (philosophy) #Mathematics #Philosophy #Physics #Planck #Planck constant #Quantization (signal processing) #Quantum #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Quantum dynamics #Quantum mechanics #Quantum process #Radiation #Radioactive Decay and Measurement Techniques #Relativity and Gravitational Theory #TRACE (psycholinguistics) #Theoretical physics #Uncertainty principle #physics.hist-ph #quant-ph

paper · pdf · doi:10.48550/arxiv.2003.04466

published in arXiv (Cornell University) (Cornell University) · This essay was written for the Oxford Handbook of the History of Interpretations and Foundations of Quantum Mechanics edited by Olival Freire Jr. and others

arxiv created 2020/03/10 · openalex publication_date 2020/03/10 · arxiv updated 2020/03/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We trace the evolution of quantization conditions from Planck's introduction of a new fundamental constant (h) in his treatment of blackbody radiation in 1900 to Heisenberg's interpretation of the commutation relations of modern quantum mechanics in terms of his uncertainty principle in 1927.

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