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Distribution functions in physics: Fundamentals
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Citations
Cites
On the Quantum Correction For Thermodynamic Equilibrium
Wigner, E. (1932) · Physical Review · doi:10.1103/physrev.40.749 · Cited by 9,283
Self-citationLaserlight ? first example of a second-order phase transition far away from thermal equilibrium
Graham, R., & Haken, H. (1970) · Zeitschrift f�r Physik · doi:10.1007/bf01400474 · Cited by 396
Research works printed but not linked: 55
- Agarwal, 1970, Phys. Rev., D10, 2161
- Agarwal, 1970, Phys. Rev., D10, 2187
- Agarwal, 1970, Phys. Rev., D10, 2206
- Alastuey, 1980, Physica, 102A, 327, 10.1016/0378-4371(80)90139-9 · doi:10.1016/0378-4371(80)90139-9
- Bloch, 1932, Zeits. f. Physik, 74, 295, 10.1007/BF01337791 · DOI · Paper page
- Bopp, 1956, Ann. Inst. H. Poincaré, 15, 81
- Brittin, 1962, Rev. Mod. Phys., 34, 620, 10.1103/RevModPhys.34.620 · DOI
- Cahill, 1965, Phys. Rev., 138, B1566, 10.1103/PhysRev.138.B1566 · doi:10.1103/physrev.138.b1566
- Cahill, 1969, Phys. Rev., 177, 1857, 10.1103/PhysRev.177.1857 · DOI · Paper page
- Cahill, 1969, Phys. Rev., 177, 1883
- Carmichael, 1976, J. Phys., B9, 1199
- Carruthers, 1983, Rev. Mod. Phys., 55, 245, 10.1103/RevModPhys.55.245 · DOI · Paper page
- Cartwright, 1976, Physica, 83A, 210, 10.1016/0378-4371(76)90145-X · DOI
- Cohen, 1966, J. Math. Phys., 7, 781, 10.1063/1.1931206 · DOI · Paper page
- Dahl, 1982, Physica Scripta, 25, 499, 10.1088/0031-8949/25/4/001 · doi:10.1088/0031-8949/25/4/001
- De Giorgio, 1970, Phys. Rev., A2, 1170, 10.1103/PhysRevA.2.1170 · DOI · Paper page
- Drummond, 1980, J. Phys., A13, 2353
- Drummond, 1981, Phys. Rev., A24, 914, 10.1103/PhysRevA.24.914 · DOI
- Glauber, 1963, Phys. Rev. Lett., 10, 84, 10.1103/PhysRevLett.10.84 · DOI · Paper page
- Glauber, 1963, Phys. Rev., 131, 2766, 10.1103/PhysRev.131.2766 · DOI · Paper page
- Groenewold, 1946, Physica, 12, 405, 10.1016/S0031-8914(46)80059-4 · DOI · Paper page
- Haken, 1975, Rev. Mod. Phys., 47, 67, 10.1103/RevModPhys.47.67 · DOI · Paper page
- Husimi, 1940, 22, 264
- Imre, 1967, J. Math. Phys., 8, 1097, 10.1063/1.1705323 · DOI · Paper page
- Kano, 1965, J. Math. Phys., 6, 1913, 10.1063/1.1704739 · doi:10.1063/1.1704739
- Kamble, 1978, Phys. Rev., A18, 201, 10.1103/PhysRevA.18.201 · DOI · Paper page
- Klimintovich, 1958, Sov. Phys. JETP, 6, 753
- Kubo, 1964, J. Phys. Soc. Japan, 19, 2127, 10.1143/JPSJ.19.2127 · DOI
- Lax, 1968, Phys. Rev., 172, 350, 10.1103/PhysRev.172.350 · DOI · Paper page
- Lax, 1967, J. Quant. Electron., QE3, 47, 10.1109/JQE.1967.1074446 · DOI
- Lugiato, 1982, Phys. Rev., A26, 3438, 10.1103/PhysRevA.26.3438 · DOI
- Margenau, 1961, Prog. Theoret. Phys. (Kyoto), 26, 722, 10.1143/PTP.26.722 · DOI · Paper page
- McKenna, 1966, Phys. Rev., 145, 93, 10.1103/PhysRev.145.93 · doi:10.1103/physrev.145.93
- Mehta, 1964, J. Math. Phys., 5, 677, 10.1063/1.1704163 · DOI
- Mehta, 1965, Phys. Rev., 138, B274, 10.1103/PhysRev.138.B274 · DOI · Paper page
- Messiah, 1961, Vol. 1, 442
- Mori, 1965, Vol. 1, 213
- Moyal, 1949, 45, 99
- Nienhuis, 1970, J. Math. Phys., 11, 239, 10.1063/1.1665053 · doi:10.1063/1.1665053
- O'Connell, 1983, Found. Phys., 13, 83, 10.1007/BF01889413 · DOI
- O'Connell, 1983, Proc. Third New Zealand Symp. on Laser Physics
- O'Connell, 1981, Phys. Lett., 83A, 145, 10.1016/0375-9601(81)90870-7 · DOI
- O'Connell, 1981, Phys. Lett., 85A, 121, 10.1016/0375-9601(81)90881-1 · DOI
- Oppenheim, 1957, Phys. Rev., 107, 28, 10.1103/PhysRev.107.28 · DOI
- Prugovecki, 1978, Ann. Phys. (NY), 110, 102, 10.1016/0003-4916(78)90144-6 · DOI
- Schrödinger, 1926, Naturwissenschaften, 14, 664, 10.1007/BF01507634 · DOI · Paper page
- Scully, 1967, Phys. Rev., 159, 208, 10.1103/PhysRev.159.208 · DOI · Paper page
- Sudarshan, 1963, Phys. Rev. Lett., 10
- Sudarshan, 1963, Phys. Rev. Lett., 277, 10.1103/PhysRevLett.10.277 · DOI · Paper page
- Summerfield, 1969, J. Math. Phys., 10, 233, 10.1063/1.1664837 · DOI
- Suttorp, 1970, Nuovo Cimento, 65A, 245, 10.1007/BF02752917 · DOI
- Takabayashi, 1954, Prog. Theor. Phys., 11, 341, 10.1143/PTP.11.341 · doi:10.1143/ptp.11.341
- Weyl, 1927, Z. Phys., 46, 1, 10.1007/BF02055756 · DOI · Paper page
- Wigner, 1932, Z. Phys. Chem., B19, 203, 10.1515/zpch-1932-1920 · DOI · Paper page
- Wigner, 1938, Trans. Faraday Soc., 34, 29, 10.1039/tf9383400029 · DOI · Paper page
Cited by
Decoherence, einselection, and the quantum origins of the classical
Zurek, W. H. (2003) · Reviews of Modern Physics · doi:10.1103/revmodphys.75.715 · Cited by 4,295
Colloquium: Nonequilibrium dynamics of closed interacting quantum systems
Polkovnikov, A., Sengupta, K., Silva, A., & Vengalattore, M. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.863 · Cited by 2,562
Smithey, D. T., Beck, M., Raymer, M. G., & Faridani, A. (1993) · Physical Review Letters · doi:10.1103/physrevlett.70.1244 · Cited by 1,538
Quantum computers and dissipation
(1996) · Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences · doi:10.1098/rspa.1996.0029 · Cited by 899
Negativity of the Wigner function as an indicator of non-classicality
Kenfack, A., & yczkowski, K. (2004) · Journal of Optics B: Quantum and Semiclassical Optics · doi:10.1088/1464-4266/6/10/003 · Cited by 779
Metadata
- Authors
- Hillery, M., O'Connell, R. F., Scully, M. O., & Wigner, E. P.
- Venue
- Physics Reports
- Publisher
- Elsevier BV
- Published
- 1984-04
- Volume
- 106
- Issue
- 3
- Pages
- 121-167
- ISSN
- 0370-1573 (ISSN-L)
- OpenAlex
- W1986608926
- Cited by
- 2,895
- References
- 2
- FWCI
- 33.62
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.elsevier.com/tdm/userlicense/1.0/ (tdm)
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- Hillery, M., O'Connell, R. F., Scully, M. O., & Wigner, E. P. (1984). Distribution functions in physics: Fundamentals. Physics Reports. https://doi.org/10.1016/0370-1573(84)90160-1
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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