Article ID: CBB000933684

From Canonical Transformations to Transformation Theory, 1926--1927: The Road to Jordan's Neue Begründung (2009)

unapi

Duncan, Anthony (Author)
Janssen, Michel (Author)


Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics
Volume: 40
Pages: 352--362


Publication Date: 2009
Edition Details: Part of a special Issue: Proceedings from the HQ2 Conference
Language: English

We sketch the development from matrix mechanics as formulated in the Dreimännerarbeit of Born, Heisenberg, and Jordan, completed in late 1925, to transformation theory developed independently by Jordan and Dirac in late 1926. Focusing on Jordan, we distinguish three strands in this development: the implementation of canonical transformations in matrix mechanics (the main focus of our paper), the clarification of the relation between the different forms of the new quantum theory (matrix mechanics, wave mechanics, q-numbers, and operator calculus), and the generalization of Born's probability interpretation of the Schrödinger wave function. These three strands come together in a two-part paper by Jordan published in 1927, On a new foundation [neue Begründung] of quantum mechanics.

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Article Dongen, Jeroen van; Dieks, Dennis; Uffink, Jos; Kox, A. J. (2009) On the History of the Quantum: Introduction to the HQ2 Special Issue. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics (p. 277). unapi

Citation URI
https://data.isiscb.org/isis/citation/CBB000933684/

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Authors & Contributors
Kragh, Helge S.
Leyla Joaquim
Howard, Don
Stuewer, Roger H.
Singh, Rajinder
Simões, Ana I.
Concepts
Physics
Quantum mechanics
Science education and teaching
Theoretical physics
Time
Mathematics
Time Periods
20th century, early
20th century
Places
Great Britain
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