The conceptual analysis (CA) method in theories of microchannels: Application to quantum theory. Part III. Idealizations. Hilbert space representation [Book Review]

Foundations of Physics 9 (11-12):897-928 (1979)

We illustrate the application of the conceptual analysis (CA) method outlined in Part I by the example of quantum mechanics. In the present part the Hilbert space structure of conventional quantum mechanics is deduced as a consequence of postulates specifying further idealized concepts. A critical discussion of the idealizations of quantum mechanics is proposed. Quantum mechanics is characterized as a “statistically complete” theory and a simple and elegant formal recipe for the construction of the fundamental mathematical apparatus of quantum mechanics is formulated. Our analysis may also lead to a criticism of quantum mechanics as a “strongly idealized” theory. A critical analysis of the fundamental structure of quantum mechanics seems an indispensable and natural starting point for the construction of new theories. A major technical problem in a more general application of the CA method is the lack of mathematical representation theorems for more general algebraic structures
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1007/BF00708699
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 46,330
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

Survey of General Quantum Physics.C. Piron - 1972 - Foundations of Physics 2 (4):287-314.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Are the Laws of Quantum Logic Laws of Nature?Peter Mittelstaedt - 2012 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 43 (2):215-222.
Rovelli’s World.Bas C. van Fraassen - 2010 - Foundations of Physics 40 (4):390-417.
Quantum Concepts in Space and Time.Roger Penrose & C. J. Isham (eds.) - 1986 - New York ;Oxford University Press.
Quantum Mechanics is About Quantum Information.Jeffrey Bub - 2005 - Foundations of Physics 35 (4):541-560.


Added to PP index

Total views
62 ( #141,778 of 2,285,999 )

Recent downloads (6 months)
6 ( #196,503 of 2,285,999 )

How can I increase my downloads?


My notes

Sign in to use this feature