The equivalence myth of quantum mechanics —Part I

Abstract
The author endeavours to show two things: first, that Schrödingers (and Eckarts) demonstration in March (September) 1926 of the equivalence of matrix mechanics, as created by Heisenberg, Born, Jordan and Dirac in 1925, and wave mechanics, as created by Schrödinger in 1926, is not foolproof; and second, that it could not have been foolproof, because at the time matrix mechanics and wave mechanics were neither mathematically nor empirically equivalent. That they were is the Equivalence Myth. In order to make the theories equivalent and to prove this, one has to leave the historical scene of 1926 and wait until 1932, when von Neumann finished his magisterial edifice. During the period 1926–1932 the original families of mathematical structures of matrix mechanics and of wave mechanics were stretched, parts were chopped off and novel structures were added. To Procrustean places we go, where we can demonstrate the mathematical, empirical and ontological equivalence of ‘the final versions of’ matrix mechanics and wave mechanics. The present paper claims to be a comprehensive analysis of one of the pivotal papers in the history of quantum mechanics: Schrödingers equivalence paper. Since the analysis is performed from the perspective of Suppes structural view (‘semantic view’) of physical theories, the present paper can be regarded not only as a morsel of the internal history of quantum mechanics, but also as a morsel of applied philosophy of science. The paper is self-contained and presupposes only basic knowledge of quantum mechanics. For reasons of length, the paper is published in two parts; Part I appeared in the previous issue of this journal. Section 1 contains, besides an introduction, also the papers five claims and a preview of the arguments supporting these claims; so Part I, Section 1 may serve as a summary of the paper for those readers who are not interested in the detailed arguments.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index
 
Download options
PhilPapers Archive


Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 11,802
External links
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library
References found in this work BETA

No references found.

Citations of this work BETA
Slobodan Perovic (2008). Why Were Matrix Mechanics and Wave Mechanics Considered Equivalent? Studies in History and Philosophy of Science Part B 39 (2):444-461.
Tjerk Gauderis (2014). To Envision a New Particle or Change an Existing Law? Hypothesis Formation and Anomaly Resolution for the Curious Case of the Β Decay Spectrum. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 45:27-45.
Similar books and articles
A. F. (1999). The Equivalence Myth of Quntum Mechanics (Addendum). Studies in History and Philosophy of Science Part B 30 (4):543-545.
F. A. Muller (1997). The Equivalence Myth of Quantum Mechanics—Part II. Studies in History and Philosophy of Science Part B 28 (2):219-247.
Slobodan Perovic (2008). Why Were Matrix Mechanics and Wave Mechanics Considered Equivalent? Studies in History and Philosophy of Science Part B 39 (2):444-461.
F. A. Muller (1999). The Equivalence Myth of Quntum Mechanics (Addendum). Studies in History and Philosophy of Science Part B 30 (4):543-545.
Valia Allori & Nino Zanghi (2008). On the Classical Limit of Quantum Mechanics. Foundations of Physics 10.1007/S10701-008-9259-4 39 (1):20-32.
B. E. (2003). Quantum Mechanics Does Not Require the Continuity of Space. Studies in History and Philosophy of Science Part B 34 (2):319-328.
Mauricio Suárez (2007). Quantum Propensities. Studies in History and Philosophy of Science Part B 38 (2):418-438.
Wayne C. Myrvold (2008). Review of R. Clifton, Quantum Entanglements. [REVIEW] Studies in History and Philosophy of Modern Physics 39:700-701.
Analytics

Monthly downloads

Added to index

2010-09-01

Total downloads

30 ( #61,223 of 1,099,748 )

Recent downloads (6 months)

3 ( #126,844 of 1,099,748 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Start a new thread
Order:
There  are no threads in this forum
Nothing in this forum yet.