Abstract
“For each measurement, one is required to ascribe to the ψ-function a quite sudden change… The abrupt change by measurement… is the most interesting point of the entire theory.… For this reason one can not put the ψ-function directly in place of the physical thing… because from the realism point of view observation is a natural process like any other and cannot per se bring about an interruption of the orderly flow of events.”
This is a preview of subscription content, log in via an institution to check access.
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 and Remarks
E. Schrodinger, Die Naturwissenschaften 23, 807 (1935).
E. Schrodinger, Die Naturwissenschaften 23, 823 (1935).
E. Schrodinger, Die Naturwissenschaften 23, 844 (1935).
D. Bohm and J. Bub, Reviews of Modern Physics 38, 453 (1966).
P. Pearle, Physical Review D 13, 857 (1976).
P. Pearle, International Journal of Theoretical Physics 48, 489 (1979).
F. Karolyhazy, II Nuovo Cimento 52, 390 (1966) and in this volume;
F. Karolyhazy, A. Frenkel and B. Lukacz, in Physics as Natural Philosophy, edited by A. Shimony and H Feshbach (M.I.T. Press, Cambridge Mass., 1982) and in Quantum Concepts in Space and Time, edited by R. Penrose and C. J. Isham (Clarendon, Oxford, 1986).
R. Penrose in Quantum Concepts in Space and Time, edited by R. Penrose and C. J. Isham (Clarendon, Oxford, 1986).
L. Diosi, Physics Letters A 120, 377 (1987)
L. Diosi, Physical Review A 40, 1165 (1989).
P. Pearle, Physical Review A 39, 2277 (1989).
P. Pearle and J. Soucek, Foundations of Physics Letters 2, 287 (1989).
G. C. Ghirardi, P. Pearle and A. Rimini, Trieste preprint IC/89/44.
G. C. Ghirardi and A. Rimini, in this volume.
G. C. Ghirardi, A. Rimini and T. Weber, Physical Review D 34, 470 (1986)
G. C. Ghirardi, A. Rimini and T. Weber, Foundations of Physics 18, 1, (1988).
J. S. Bell in Schrodinger-Centenary celebration of a polymath, edited by C. W. Kilmister (Cambridge University Press, Cambridge 1987).
J. S. Bell, Physics 1, 195 (1965).
J. S. Bell in The Ghost In The Atom, edited by P.C.W. Davies and J.R. Brown (Cambridge University Press, Cambridge 1986).
L Diosi, Journal of Physics A 21, 2885 (1988).
N. Gisin, Physical Review Letters 52, 1657 (1984).
P. Pearle in Quantum Concepts in Space and Time, edited by R. Penrose and C. J. Isham (Clarendon, Oxford, 1986).
P. Pearle, Physical Review D 29, 235 (1984).
A. Zeilinger, R. Gaehler, C. G. Shull and W. Treimer in Symposium on Neutron Scattering, edited by J. Faber Jr. (Amer. Inst, of Phys., 1984)
A. Zeilinger in Quantum Concepts in Space and Time, edited by R. Penrose and C. J. Isham (Clarendon, Oxford, 1986).
P. Pearle in New Techniques in Quantum Measurement theory, edited by D. M. Greenberger (N.Y. Acad. of Sci., N.Y., 1986). This was first brought to my attention by Y. Anaronov.
N. Gisin, Physical Review Letters 53, 1776 (1984).
P. Pearle, Physical Review Letters 53, 1775 (1984).
N. Gisin, Helvetica Physica Acta, 62, 363 (1989).
G. Lindblad, Communications in Mathematical Physics 48, 119 (1976).
P. Pearle, Physical Review D 33, 2240 (1986).
P. Pearle, Foundations of Physics 12, 249 (1982).
Eq. (3.1) is a Stratonovich stochastic differential equation, which means for our purposes that the white noise and brownian motion can be manipulated as if they were ordinary functions.
Eq. (3.22) is only meant to be suggestive, as B(z,t) is not an integrable function. The condition is better expressed as an inequality for the functional integral ∫RDBexp-∫dz[B(z,t)-2λtf(an-z)]2/(2λt) > ∫RDBexp-c2, where the subscript R denotes that the functional integral is restricted to a suitable range of B(z,t).
P. Pearle, Journal of Statistical Physics 41, 719 (1985), and in references 23, 26, 21, and even as recentlv as reference 8. My conversion is due to discussions at Erice with Bell, Ghirardi, uisin and Shimony, which made me realize that a realist can cheerfully survive with tails in his world picture, and a recent discussion with Penrose which helped me realize that tails are not only tolerable, but they are a necessity for boost invariance.
The nonlocal form V(a,t,v)=Σn∫ ∫dx’dxgn[φ(x),φ(x’)]Gn(x,x’,a,t,v), L(a,t,v)=Σn∫ ∫dx’dxhn[φ(x),φ(x’)]Hn(x,x’,a,t,v) is found not to satisfy the constraint (5.7c) unless Gn ana Hn are proportional to δ(x-x’), i.e. unless the form is local.
S. Tomonaga, Progress in Thoretical Physics 1, 27 (1946). Eq. (5.13) contains no term describing the usual interaction of the quantum field theory because it is presumed that φint(x,t) is the solution of that theory. If one wishes, the usual term can be added and φint(x,t) taken to describe the free field.
S. Schweber, An Introduction to Relativistic Quantum Field Theory (Row Peterson, Illinois, 1961).
G. C. Ghirardi, R. Grassi and P. Pearle, in preparation.
I would like to thank Roger Penrose for urging these considerations.
Y. Aharanov and D. Albert, Physical Review D 21, 3316 (1980)
Y. Aharanov and D. Albert, Physical Review D 24, 359 (1981) emphasize this point. However, these authors considered ordinary relativistic quantum theory, with an instantaneous reduction, and concluded that the notion of a statevector itself had to be abandoned, for it is incompatible with the additional requirements of relativity and probability conservation. Because the norm of the statevector is not constrained to be 1 in the CSL theory, there is no conflict, and no need to get rid of the notion of statevector.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1990 Plenum Press, New York
About this chapter
Cite this chapter
Pearle, P. (1990). Toward a Relativistic Theory of Statevector Reduction. In: Miller, A.I. (eds) Sixty-Two Years of Uncertainty. NATO ASI Series, vol 226. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-8771-8_12
Download citation
DOI: https://doi.org/10.1007/978-1-4684-8771-8_12
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4684-8773-2
Online ISBN: 978-1-4684-8771-8
eBook Packages: Springer Book Archive