David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jonathan Jenkins Ichikawa
Jack Alan Reynolds
Learn more about PhilPapers
Synthese 169 (1):27 - 50 (2009)
It is argued that seemingly “merely technical” issues about the existence and uniqueness of self-adjoint extensions of symmetric operators in quantum mechanics have interesting implications for foundations problems in classical and quantum physics. For example, pursuing these technical issues reveals a sense in which quantum mechanics can cure some of the forms of indeterminism that crop up in classical mechanics; and at the same time it reveals the possibility of a form of indeterminism in quantum mechanics that is quite distinct from the indeterminism of state vector collapse. More generally, the examples considered indicate that the classical–quantum correspondence is more intricate and delicate than is generally appreciated. The aim of the article is to give a series of examples that reveal why the technical issues about self-adjointness are relevant to the philosophy of science and that help to make the issues accessible to philosophers of science.
|Keywords||Foundations of quantum mechanics Determinism Classical–quantum correspondence|
|Categories||categorize this paper)|
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
Max Jammer (1974). The Philosophy of Quantum Mechanics. New York,Wiley.
R. I. G. Hughes (1989). The Structure and Interpretation of Quantum Mechanics. Harvard University Press.
Jeffrey Bub (1998). Interpreting the Quantum World. British Journal for the Philosophy of Science 49 (4):637-641.
John D. Norton (2007). Causation as Folk Science. In Huw Price & Richard Corry (eds.), Philosophers' Imprint. Oxford University Press
Citations of this work BETA
Bernar Gaveau, Antigone M. Nounou & Lawrence S. Schulman (2011). Homotopy and Path Integrals in the Time Dependent Aharonov-Bohm Effect. Foundations of Physics 41 (9):1462-1474.
Thomas Pashby (forthcoming). Reply to Fleming: Symmetries, Observables, and the Occurrence of Events. Studies in the History and Philosophy of Modern Physics.
Similar books and articles
Jan Hilgevoord & David Atkinson (2011). Time in Quantum Mechanics. In Craig Callender (ed.), The Oxford Handbook of Philosophy of Time. OUP Oxford
John T. Bruer (1982). The Classical Limit of Quantum Theory. Synthese 50 (2):167 - 212.
Michele Caponigro, Stefano Mancini & Vladimir I. Man'ko, A Probabilistic Approach to Quantum Mechanics Based on Tomograms.
James T. Cushing (2000). Bohmian Insights Into Quantum Chaos. Philosophy of Science 67 (3):445.
Peter Gibbins (1987). Particles and Paradoxes: The Limits of Quantum Logic. Cambridge University Press.
Angelo Bassi (ed.) (2006). Quantum Mechanics: Are There Quantum Jumps? Trieste, Italy, 5 Spetember -2005 and on the Present Status of Quantum Mechanics Lošinj, Croatia 7-9 September 2005. [REVIEW] American Institute of Physics.
I. I. I. Durand (1960). On the Theory of Measurement in Quantum Mechanical Systems. Philosophy of Science 27 (2):115-133.
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.
John Earman (2008). How Determinism Can Fail in Classical Physics and How Quantum Physics Can (Sometimes) Provide a Cure. Philosophy of Science 75 (5):817-829.
Added to index2009-01-28
Total downloads75 ( #59,933 of 1,934,708 )
Recent downloads (6 months)1 ( #434,264 of 1,934,708 )
How can I increase my downloads?