Abstract
Wódkiewicz1 has derived an operational formula for a positive phase-space distribution function in quantum mechanics (see also ref. 2). Here we point out that the proposed formula is actually a special case of a two-particle Wigner distribution function in which correlations have been neglected. We present a new operational formula which includes correlations. Also, we incorporate a brief description of the role and significance of quantum distribution functions in general.
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References
Wódkiewicz, K. Phys. Rev. Lett. 52, 1064–1067 (1984).
Maddox, J. Nature 308, 601 (1984).
Wigner, E. P. Phys. Rev. 40, 749–759 (1932).
O'Connell, R. F. & Wigner, E. P. Phys. Rev. A 30, 2613 (1984).
See, for example, Drummond, P. D., Gardiner, C. W. & Walls, D. F. Phys. Rev. A 24, 914–926 (1981).
O'Connell, R. F. in Non-Equilibrium Quantum Statistical Physics (eds Moore, G. & Scully, M. O.) (Plenum, New York, in the press).
Hillery, M., O'Connell, R. F., Scully, M. O. & Wigner, E. P. Phys. Rep. 106, 121–167 (1984).
Balescu, R. Equilibrium and Non-Equilibrium Statistical Mechanics, 81, 98 (Wiley-Inter-Science, New York, 1975).
O'Connell, R. F. & Rajagopal, A. K. Phys. Rev. Lett. 48, 525–526 (1982).
Ahranov, Y., Albert, D. Z. & Au, C. K. Phys. Rev. Lett. 47, 1029–1031 (1981).
O'Connell, R. F. & Wigner, E. P. Phys. Lett. 85A, 121–126 (1981).
Husimi, K. Proc. Phys. Math. Soc. Jap. 22, 264–268 (1940).
Prugovečki, E. Phys. Rev. Lett. 49, 1065–1068 (1982).
Iagolnitzer, D. J. math. Phys. 10, 1241–1264 (1969).
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O'Connell, R., Walls, D. Operational approach to phase-space measurements in quantum mechanics. Nature 312, 257–258 (1984). https://doi.org/10.1038/312257a0
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DOI: https://doi.org/10.1038/312257a0
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