Complementarity of representations in quantum mechanics

Studies in History and Philosophy of Science Part B - Studies in History and Philosophy of Modern Physics

Volumn 35, Issue 1, 2004, Pages 45-56

  Halvorson, Hans ^a  

^a PRINCETON UNIVERSITY   (United States)

Author keywords

C* algebra; Complementarity; Hidden variables; Quantum mechanics

Indexed keywords

EID: 0347123000     PISSN: 13552198     EISSN: 18792502     Source Type: Journal    
DOI: 10.1016/j.shpsb.2003.01.001     Document Type: Article

References (13)

1. Beaume R. Manuceau J. Pellet A. Sirugue M. Translation invariant states in quantum mechanics Communications in Mathematical Physics 38 1974 29-45
2. Bub J. Clifton R. A uniqueness theorem for 'no collapse' interpretations of quantum mechanics Studies in History and Philosophy of Modern Physics 27 1996 181-219
3. Fannes M. Verbeure A. Weder R. On momentum states in quantum mechanics Annales de l'Institut Henri Poincaré 20 1974 291-296
4. Gamelin T. Uniform algebras 1969 Prentice-Hall Englewood Cliffs, NJ
5. Halvorson H. On the nature of continuous physical quantities in classical and quantum mechanics Journal of Philosophical Logic 37 2001 27-50
6. Kadison R. Ringrose J. Fundamentals of the theory of operator algebras 1997 American Mathematical Society Providence, RI
7. Manuceau J. Sirugue M. Testard D. Verbeure A. The smallest C*-algebra for the canonical commutation relations Communications in Mathematical Physics 32 1974 231-243
8. Rudin W. Fourier analysis on groups 1962 Interscience New York
9. Rudin W. Real and complex analysis 1987 McGraw-Hill New York
10. Ruetsche, L. A matter of degree: Putting unitary equivalence to work. Philosophy of Science, forthcoming.
11. Summers, S. (2001). On the Stone-von Neumann uniqueness theorem and its ramifications. In M. Rédei, & M. Stöltzner (Eds.), John von Neumann and the foundations of quantum physics (pp. 135-152). New York: Kluwer Academic Publishers.
12. Teller P. Quantum mechanics and the nature of continuous physical quantities Journal of Philosophy 76 1979 345-361
13. von Neumann J. Die Eindeutigkeit der Schrödingerschen Operatoren Mathematische Annalen 104 1931 570-578