Phys. Rev. Lett. 79, 780 - 783 (1997)

Quantized Phase Difference

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Sixia Yu
Atominstitut der Österreichischen Universitäten, Schüttelstrasse 115, A-1020 Vienna, Austria

Received 17 March 1997

A quantum description for the phase difference between two harmonic oscillators is proposed. Being represented by a Hermitian operator, phase difference displays two striking quantum features. First, its eigenvalues form a new type of quantized value which is countable and dense in a 2π window. Second, because quantized phase difference cannot be defined as a difference of phases, it obeys a quantum addition rule which may not be commutative.


©1997 The American Physical Society

URL: http://link.aps.org/abstract/PRL/v79/p780
DOI: 10.1103/PhysRevLett.79.780
PACS: 03.65.Ca, 03.65.Bz, 42.50.-p

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