Two no-go theorems for modal interpretations of quantum mechanics

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

Volumn 30, Issue 3, 1999, Pages 403-431

  Vermaas, Pieter E ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033194172     PISSN: 13552198     EISSN: 18792502     Source Type: Journal    
DOI: 10.1016/S1355-2198(99)00011-8     Document Type: Article

References (22)

1. Albert, D. Z (1992) Quantum Mechanics and Experience (Cambridge, Mass.: Harvard University Press), pp. 145-170.
2. Bacciagaluppi, G. and Dickson, W. M. (1997) 'Dynamics for Density Operator Interpretations of Quantum Theory', Los Alamos e-print archives, quant-ph/9711048.
3. Bell, J. S. (1987) Speakable and Unspeakable in Quantum Mechanics (Cambridge: Cambridge University Press), pp. 52-62.
4. Bub, J. (1992) 'Quantum mechanics without the projection postulate', Foundations of Physics 22, 737-754.
5. Bub, J. (1997) Interpreting the Quantum World (Cambridge: Cambridge University Press).
6. Dickson, W. M. and Clifton, R. (1998) 'Lorentz-invariance in modal interpretations', in D. Dieks and P. E. Vermaas (eds), The Modal Interpretation of Quantum Mechanics, Vol. 60 of the Western Ontario Series in Philosophy of Science (Dordrecht: Kluwer), pp. 9-47.
7. Dieks, D. (1988) 'The formalism of quantum theory: An objective description of reality?', Annalen der Physik 7, 174-190.
8. Dieks, D. (1998) 'Preferred factorizations and consistent property attribution', in R. A. Healey and G. Hellman (eds), Quantum Measurement: Beyond Paradox, Vol. 17 of Minnesota Studies in the Philosophy of Science (Minneapolis: University of Minnesota Press), pp. 144-159.
9. Greenberger, D. M., Horne, M. A. and Zeilinger, A. (1989) 'Going beyond bell's theorem', in M. Kafatos (ed.), Bell's Theorem, Quantum Theory and Conceptions of the Universe (Dordrecht: Kluwer), pp. 69-72.
10. Healey, R. A. (1989) The Philosophy of Quantum Mechanics: An Interactive Interpretation (Cambridge: Cambridge University Press).
11. Holland, P. R. (1993) The Quantum Theory of Motion: An Account of the de Broglie-bohm Causal Interpretation of Quantum Mechanics (Cambridge: Cambridge University Press), Sections 11.2 and 11.3.
12. Kochen, S. (1985) 'A new interpretation of quantum mechanics', in P. Lahti and P. Mittelstaedt (eds), Symposium on the Foundations of Modern Physics (Singapore: World Scientific), pp. 151-169.
13. Kochen, S. and Specker, E. (1967) 'The problem of hidden variables in quantum mechanics', Journal of Mathematics and Mechanics 17, 59-87.
14. Pitowsky, I. (1989) Quantum Probability - Quantum Logic (Berlin: Springer), Section 2.4.
15. Svetlichny, G., Redhead, M. L. G., Brown, H. and Butterfield, J. N. (1988) 'Do the bell inequalities require the existence of joint probability distributions?', Philosophy of Science 55, 387-401.
16. Van Fraassen, B. C. (1973) 'Semantic analysis of quantum logic', in C. A. Hooker (ed.), Contemporary Research in the Foundations and Philosophy of Quantum Theory (Dordrecht: Reidel), pp. 80-113.
17. Van Fraassen, B. C. (1991) Quantum Mechanics: An Empiricist View (Oxford: Clarendon).
18. Vermaas, P. E. (1996) 'Unique transition probabilities in the modal interpretation', Studies in History and Philosophy of Modern Physics 27, 133-159.
19. Vermaas, P. E. (1997) 'A No-Go theorem for joint property ascriptions in the modal interpretation of quantum mechanics', Physical Review Letters 78, 2033-2037.
20. Vermaas, P. E. (1998) 'Expanding the property ascription in the modal interpretation of quantum theory', in R. A. Healey and G. Hellman (eds), Quantum Measurement: Beyond Paradox, Vol. 17 of Minnesota Studies in The Philosophy of Science (Minneapolis: University of Minnesota Press), pp. 115-143.
21. Vermaas, P. E. (1999) A Philosopher's Understanding of Quantum Mechanics: Possibilities and Impossibilities of a Modal Interpretation (Cambridge: Cambridge University Press), Section 6.4 (forthcoming).
22. Vermaas, P. E. and Dieks, D. (1995) 'The modal interpretation of quantum mechanics and its generalization to density operators', Foundations of Physics 25, 145-158.