An Approach to the Study of Quantum Phase Problem Based on Action-Angle Wigner Distribution

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Communications in Theoretical Physics ›› 1999, Vol. 32 ›› Issue (1) : 71-76.

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An Approach to the Study of Quantum Phase Problem Based on Action-Angle Wigner Distribution

JIE QuanLin¹, WANG ShunJin^1,2,3

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Abstract

Quantum phase distribution is expressed in terms of action-angle Wigner distribution function. It turns out to coincide with the limit case of Pegg-Barnett theory. This discrete phase space approach, in which some concepts such as quantum phase operator are not needed, can express phase-related quantities in a unified way. The expectation values and variances of cosθ and sinθ are the same as those of Susskind-Glogolver theory. The phase-(particle) number uncertainty has a simple form in this formalism.

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quantum phase problem / action-angle Wigner distribution

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JIE QuanLin, WANG ShunJin. An Approach to the Study of Quantum Phase Problem Based on Action-Angle Wigner Distribution[J]. Communications in Theoretical Physics, 1999, 32(1): 71-76

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