David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
Foundations of Physics 33 (3):407-443 (2003)
Coordinate form of tensor algebra on an abstract (infinite-dimensional) Hilbert space is presented. The developed formalism permits one to naturally include the improper states in the apparatus of quantum theory. In the formalism the observables are represented by the self-adjoint extensions of Hermitian operators. The unitary operators become linear isometries. The unitary evolution and the non-unitary collapse processes are interpreted as isometric functional transformations. Several experiments are analyzed in the new context
|Keywords||improper states generalized eigenvalue problem quantum measurement|
|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
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Frank Arntzenius (1993). How to Discover That the Real is Unreal. Erkenntnis 38 (2):191 - 202.
Alexey Kryukov (2007). On the Measurement Problem for a Two-Level Quantum System. Foundations of Physics 37 (1):3-39.
Hasok Chang (1997). On the Applicability of the Quantum Measurement Formalism. Erkenntnis 46 (2):143-163.
Alexey Kryukov (2004). On the Problem of Emergence of Classical Space—Time: The Quantum-Mechanical Approach. Foundations of Physics 34 (8):1225-1248.
Robert C. Bishop (2004). Arrow of Time in Rigged Hilbert Space Quantum Mechanics. International Journal of Theoretical Physics 43:1675-1687.
Added to index2009-01-28
Total downloads22 ( #163,497 of 1,789,998 )
Recent downloads (6 months)1 ( #424,764 of 1,789,998 )
How can I increase my downloads?