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On the Complexity of Measurement in Classical Physics

2008
If we measure the position of a point particle, then we will come about with an interval [an, bn] into which the point falls. We make use of a Gedankenexperiment to find better and better values of an and bn, by reducing their relative distance, in a succession of intervals [a1, b1] ⊃ [a2, b2] ⊃ ... ⊃ [an, bn]] that contain the point.We then use such a
Edwin J. Beggs   +3 more
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Foundations of classical physics

2007
We choose the classical canonical theory of Liouville because of the best match with the q-theory—a genuine statistical theory. Also this is why we devote the particular Sect. 2.4 to the measurement of the physical quantities.
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Testing for Classicality of a Physical System

International Journal of Theoretical Physics, 2012
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Dorninger, Dietmar, Länger, Helmut
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On the Classical Transcendents of Mathematical Physics

American Journal of Mathematics, 1951
(5) x" -q(x)y=0 of (2), cf. [5]. The purpose of this paper is an application of this result to the case of certain classical linear differential equations occurring in mathematical physics. For instance, there will be considered (? 1) the so-called toroidal functions which, in the main, are certain normalizations of the associated Legendre functions ...
Hartman, Philip, Wintner, Aurel
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Physical Aging of Classical Oscillators

Physical Review Letters, 2014
Aging is a familiar phenomenon from glassy systems like spin glasses and materials with slow relaxation processes, breaking of time-translation invariance, and dynamical scaling. We study aging in active rotators and Kuramoto oscillators that are coupled with frustrated bonds.
Florin, Ionita   +1 more
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