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Volumn 46, Issue 1, 2005, Pages

Wigner-weyl isomorphism for quantum mechanics on lie groups

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EID: 17044365401     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1825078     Document Type: Article
Times cited : (34)

References (38)
  • 1
    • 33745014742 scopus 로고
    • E. P. Wigner, Phys. Rev. 40, 749 (1932); for a comprehensive review see M. Hillery, R. F. O'Connell, M. O. Scully, and E. P. Wigner, Phys. Rep. 106, 121 (1984); V. I. Tatarskii, Sov. Phys. Usp. 26, 311 (1983); and also Y. S. Kim and M. E. Noz, Phase Space Picture of Quantum Mechanics (World Scientific, Singapore, 1991); W. P. Schleich, Quantum Optics in Phase Space (Wiley-VCH, Weinheim, 2001).
    • (1932) Phys. Rev. , vol.40 , pp. 749
    • Wigner, E.P.1
  • 2
    • 34547303281 scopus 로고
    • E. P. Wigner, Phys. Rev. 40, 749 (1932); for a comprehensive review see M. Hillery, R. F. O'Connell, M. O. Scully, and E. P. Wigner, Phys. Rep. 106, 121 (1984); V. I. Tatarskii, Sov. Phys. Usp. 26, 311 (1983); and also Y. S. Kim and M. E. Noz, Phase Space Picture of Quantum Mechanics (World Scientific, Singapore, 1991); W. P. Schleich, Quantum Optics in Phase Space (Wiley-VCH, Weinheim, 2001).
    • (1984) Phys. Rep. , vol.106 , pp. 121
    • Hillery, M.1    O'Connell, R.F.2    Scully, M.O.3    Wigner, E.P.4
  • 3
    • 84931510621 scopus 로고
    • E. P. Wigner, Phys. Rev. 40, 749 (1932); for a comprehensive review see M. Hillery, R. F. O'Connell, M. O. Scully, and E. P. Wigner, Phys. Rep. 106, 121 (1984); V. I. Tatarskii, Sov. Phys. Usp. 26, 311 (1983); and also Y. S. Kim and M. E. Noz, Phase Space Picture of Quantum Mechanics (World Scientific, Singapore, 1991); W. P. Schleich, Quantum Optics in Phase Space (Wiley-VCH, Weinheim, 2001).
    • (1983) Sov. Phys. Usp. , vol.26 , pp. 311
    • Tatarskii, V.I.1
  • 4
    • 0004201826 scopus 로고
    • World Scientific, Singapore
    • E. P. Wigner, Phys. Rev. 40, 749 (1932); for a comprehensive review see M. Hillery, R. F. O'Connell, M. O. Scully, and E. P. Wigner, Phys. Rep. 106, 121 (1984); V. I. Tatarskii, Sov. Phys. Usp. 26, 311 (1983); and also Y. S. Kim and M. E. Noz, Phase Space Picture of Quantum Mechanics (World Scientific, Singapore, 1991); W. P. Schleich, Quantum Optics in Phase Space (Wiley-VCH, Weinheim, 2001).
    • (1991) Phase Space Picture of Quantum Mechanics
    • Kim, Y.S.1    Noz, M.E.2
  • 5
    • 0003589759 scopus 로고    scopus 로고
    • Wiley-VCH, Weinheim
    • E. P. Wigner, Phys. Rev. 40, 749 (1932); for a comprehensive review see M. Hillery, R. F. O'Connell, M. O. Scully, and E. P. Wigner, Phys. Rep. 106, 121 (1984); V. I. Tatarskii, Sov. Phys. Usp. 26, 311 (1983); and also Y. S. Kim and M. E. Noz, Phase Space Picture of Quantum Mechanics (World Scientific, Singapore, 1991); W. P. Schleich, Quantum Optics in Phase Space (Wiley-VCH, Weinheim, 2001).
    • (2001) Quantum Optics in Phase Space
    • Schleich, W.P.1
  • 6
    • 0009525360 scopus 로고
    • H. Weyl, Z. Phys. 46, 1 (1927); The Theory of Groups and Quantum Mechanics (Dover, New York, 1950).
    • (1927) Z. Phys. , vol.46 , pp. 1
    • Weyl, H.1
  • 9
    • 33745040449 scopus 로고
    • J. E. Moyal, Proc. Cambridge Philos. Soc. 45, 99 (1949); H. Groenewold, Physica (Amsterdam) 12, 405 (1946).
    • (1946) Physica (Amsterdam) , vol.12 , pp. 405
    • Groenewold, H.1
  • 10
    • 23044532427 scopus 로고    scopus 로고
    • For an elementary introduction to deformation quantization see A. C. Hirshfeld and P. Herselder, Am. J. Phys. 70, 537 (2002); J. Hancock, M. A. Wallon, and B. Wynder, Eur. J. Phys. 25, 525 (2004).
    • (2002) Am. J. Phys. , vol.70 , pp. 537
    • Hirshfeld, A.C.1    Herselder, P.2
  • 11
    • 3242886348 scopus 로고    scopus 로고
    • For an elementary introduction to deformation quantization see A. C. Hirshfeld and P. Herselder, Am. J. Phys. 70, 537 (2002); J. Hancock, M. A. Wallon, and B. Wynder, Eur. J. Phys. 25, 525 (2004).
    • (2004) Eur. J. Phys. , vol.25 , pp. 525
    • Hancock, J.1    Wallon, M.A.2    Wynder, B.3
  • 13
    • 0001266148 scopus 로고
    • R. L. Stratonovich, Zh. Eksp. Teor. Fiz. 31, 1012 (1956) [Sov. Phys. JETP 4, 891 (1957)].
    • (1957) Sov. Phys. JETP , vol.4 , pp. 891
  • 14
    • 0000564194 scopus 로고
    • G. S. Agarwal, Phys. Rev. A 24, 2889 (1981); 47, 4608 (1993); J. P. Dowling, G. S. Agarwal, and W. P. Schleich, ibid. 49, 4101 (1994).
    • (1981) Phys. Rev. A , vol.24 , pp. 2889
    • Agarwal, G.S.1
  • 15
    • 17044389090 scopus 로고
    • G. S. Agarwal, Phys. Rev. A 24, 2889 (1981); 47, 4608 (1993); J. P. Dowling, G. S. Agarwal, and W. P. Schleich, ibid. 49, 4101 (1994).
    • (1993) Phys. Rev. A , vol.47 , pp. 4608
  • 22
    • 0003938094 scopus 로고
    • edited by Y. S. Kim and W. W. Zachary (Springer, Berlin)
    • R. Gilmore, in Lecture Notes in Physics, Vol. 278, edited by Y. S. Kim and W. W. Zachary (Springer, Berlin, 1987), p. 211; W.-M. Zhang, D. H. Feng, and R. Gilmore, Rev. Mod. Phys. 62, 867 (1990).
    • (1987) Lecture Notes in Physics , vol.278 , pp. 211
    • Gilmore, R.1
  • 23
    • 0000733386 scopus 로고
    • R. Gilmore, in Lecture Notes in Physics, Vol. 278, edited by Y. S. Kim and W. W. Zachary (Springer, Berlin, 1987), p. 211; W.-M. Zhang, D. H. Feng, and R. Gilmore, Rev. Mod. Phys. 62, 867 (1990).
    • (1990) Rev. Mod. Phys. , vol.62 , pp. 867
    • Zhang, W.-M.1    Feng, D.H.2    Gilmore, R.3
  • 25
    • 4244098305 scopus 로고    scopus 로고
    • U. Leonhardt, Phys. Rev. Lett. 74, 4101 (1995); Phys. Rev. A 53, 2998 (1996).
    • (1996) Phys. Rev. A , vol.53 , pp. 2998
  • 27
    • 0001562487 scopus 로고    scopus 로고
    • C. Brif and A. Mann, J. Phys. A 31, L9 (1998); Phys. Rev. A 59, 971 (1999).
    • (1999) Phys. Rev. A , vol.59 , pp. 971
  • 28
    • 0032347073 scopus 로고    scopus 로고
    • N. M. Atakishiyev, S. M. Chumakov, and K. B. Wolf, J. Math. Phys. 39, 6247 (1998); N. M. Nieto, N. M. Atakishiyev, S. M. Chumakov, and K. B. Wolf, J. Phys. A 16, 3875 (1998); S. T. Ali, N. M. Atakishiyev, S. M. Chumakov, and K. B. Wolf, Ann. Henri Poincare l, 685 (2000); M. A. Alonso, G. S. Pogosyan, and K. B. Wolf, J. Math. Phys. 43, 5857 (2002).
    • (1998) J. Math. Phys. , vol.39 , pp. 6247
    • Atakishiyev, N.M.1    Chumakov, S.M.2    Wolf, K.B.3
  • 29
    • 0032562365 scopus 로고    scopus 로고
    • N. M. Atakishiyev, S. M. Chumakov, and K. B. Wolf, J. Math. Phys. 39, 6247 (1998); N. M. Nieto, N. M. Atakishiyev, S. M. Chumakov, and K. B. Wolf, J. Phys. A 16, 3875 (1998); S. T. Ali, N. M. Atakishiyev, S. M. Chumakov, and K. B. Wolf, Ann. Henri Poincare l, 685 (2000); M. A. Alonso, G. S. Pogosyan, and K. B. Wolf, J. Math. Phys. 43, 5857 (2002).
    • (1998) J. Phys. A , vol.16 , pp. 3875
    • Nieto, N.M.1    Atakishiyev, N.M.2    Chumakov, S.M.3    Wolf, K.B.4
  • 30
    • 0034356779 scopus 로고    scopus 로고
    • N. M. Atakishiyev, S. M. Chumakov, and K. B. Wolf, J. Math. Phys. 39, 6247 (1998); N. M. Nieto, N. M. Atakishiyev, S. M. Chumakov, and K. B. Wolf, J. Phys. A 16, 3875 (1998); S. T. Ali, N. M. Atakishiyev, S. M. Chumakov, and K. B. Wolf, Ann. Henri Poincare l, 685 (2000); M. A. Alonso, G. S. Pogosyan, and K. B. Wolf, J. Math. Phys. 43, 5857 (2002).
    • (2000) Ann. Henri Poincare , vol.50 , pp. 685
    • Ali, S.T.1    Atakishiyev, N.M.2    Chumakov, S.M.3    Wolf, K.B.4
  • 31
    • 0036921293 scopus 로고    scopus 로고
    • N. M. Atakishiyev, S. M. Chumakov, and K. B. Wolf, J. Math. Phys. 39, 6247 (1998); N. M. Nieto, N. M. Atakishiyev, S. M. Chumakov, and K. B. Wolf, J. Phys. A 16, 3875 (1998); S. T. Ali, N. M. Atakishiyev, S. M. Chumakov, and K. B. Wolf, Ann. Henri Poincare l, 685 (2000); M. A. Alonso, G. S. Pogosyan, and K. B. Wolf, J. Math. Phys. 43, 5857 (2002).
    • (2002) J. Math. Phys. , vol.43 , pp. 5857
    • Alonso, M.A.1    Pogosyan, G.S.2    Wolf, K.B.3
  • 36
    • 1342324599 scopus 로고    scopus 로고
    • quant-ph/0406032 (2004)
    • W. K. Wootters, IBM J. Res. Dev. 48, 99 (2003); quant-ph/0406032 (2004).
    • (2003) IBM J. Res. Dev. , vol.48 , pp. 99
    • Wootters, W.K.1


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