Abstract
Simple models of continuous superselection rules with transparent physical interpretation are used to indicate that (1) a continuous super-selection rule can give rise to reduction of wave packets in quantum mechanical separation procedure (in contrast to measuring procedure) in the infinite time limit and (2) a continuous superselection rule arises when the limit of an infinite mass of a scattering center is taken. The latter is used to illustrate the Machida-Namiki model of quantum mechanical measurement. Some no-go theorems are shown.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
H. Araki, Prog. Theoret. Phys., 64:719–730 (1980).
J. Dixmier, Les algèbres d’opérateurs dans l’espace Hilbertien, 2nd ed., Gauthier-Villars, Paris, 1969.
A. Fine, Phys. Rev., D2:2783–2787 (1970).
S. Machida and M. Namiki, Prog. Theoret. Phys., 63:1457–1473 and 1833–1847 (1980).
A. Shimony, Phys. Rev., D9:2321–2323 (1974).
E. P. Wigner, Am. J. Phys., 31:6–15 (1963).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1986 Plenum Press, New York
About this chapter
Cite this chapter
Araki, H. (1986). A Continuous Superselection Rule as a Model of Classical Measuring Apparatus in Quantum Mechanics. In: Gorini, V., Frigerio, A. (eds) Fundamental Aspects of Quantum Theory. NATO ASI Series, vol 144. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-5221-1_3
Download citation
DOI: https://doi.org/10.1007/978-1-4684-5221-1_3
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4684-5223-5
Online ISBN: 978-1-4684-5221-1
eBook Packages: Springer Book Archive