The puzzle of canonical transformations in early quantum mechanics

DOI10.1016/j.shpsb.2003.07.001zbMath1222.81014OpenAlexW2045002434MaRDI QIDQ640071

Jan Lacki

Publication date: 17 October 2011

Published in: Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.shpsb.2003.07.001

zbMATH Keywords

quantizationquantum mechanicsaction-angle variablescanonical transformationstransformation theory

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) History of quantum theory (81-03) General and philosophical questions in quantum theory (81P05)

Related Items (5)

The state is not abolished, it withers away: how quantum field theory became a theory of scattering ⋮ Quantization and quantum-like phenomena: a number amplitude approach ⋮ From canonical transformations to transformation theory, 1926--1927: the road to Jordan's ``Neue Begründung ⋮ A brief note on Weyl frames and canonical transformations in geometrical scalar–tensor theories of gravity ⋮ The habilitation of John von Neumann at Friedrich-Wilhelms-Universität in Berlin: judgements on a Hungarian-Jewish mathematician in the Germany of 1927

Cites Work

• Phase and number
• Die Eindeutigkeit der Schrödingerschen Operatoren
• The early axiomatizations of quantum mechanics: Jordan, von Neumann and the continuation of Hilbert's program
• Pauli's theorem and quantum canonical pairs: the consistency of a bounded, self–adjoint time operator canonically conjugate to a Hamiltonian with non–empty point spectrum
• Canonically Conjugate Pairs, Uncertainty Relations, and Phase Operators
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