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Phys. Rev. A 71, 042106 (2005) [6 pages]

Measurement of the total energy of an isolated system by an internal observer

Abstract
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S. Massar
Laboratoire d’Information Quantique and QUIC, C.P. 165/59, Université Libre de Bruxelles, Avenue F. D. Roosevelt, B-1050 Bruxelles, Belgium

S. Popescu
H. H. Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol BS8 1TL, United Kingdom and Hewlett-Packard Laboratories, Stoke Gifford, Bristol BS12 6QZ, United Kingdom

Received 10 December 2004; published 20 April 2005

We consider the situation in which an observer internal to an isolated system wants to measure the total energy of the isolated system (this includes his own energy, that of the measuring device and clocks used, etc.). We show that he can do this in an arbitrarily short time, as measured by his own clock. This measurement is not subjected to a time-energy uncertainty relation. The properties of such measurements are discussed in detail with particular emphasis on the relation between the duration of the measurement as measured by internal clocks versus external clocks.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.71.042106
DOI:
10.1103/PhysRevA.71.042106
PACS:
03.65.Ta