Graduate studies at Western
Synthese 169 (1):27 - 50 (2009)
|Abstract||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||No keywords specified (fix it)|
|Categories||categorize this paper)|
|Through your library||Configure|
Similar books and articles
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.
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.
I. I. I. Durand (1960). On the Theory of Measurement in Quantum Mechanical Systems. Philosophy of Science 27 (2):115-133.
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.
Peter Gibbins (1987). Particles and Paradoxes: The Limits of Quantum Logic. Cambridge University Press.
James T. Cushing (2000). Bohmian Insights Into Quantum Chaos. Philosophy of Science 67 (3):445.
Michele Caponigro, Stefano Mancini & Vladimir I. Man'ko, A Probabilistic Approach to Quantum Mechanics Based on Tomograms.
John T. Bruer (1982). The Classical Limit of Quantum Theory. Synthese 50 (2):167 - 212.
Added to index2009-01-28
Total downloads49 ( #25,904 of 739,186 )
Recent downloads (6 months)1 ( #61,778 of 739,186 )
How can I increase my downloads?