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Volumn 42, Issue 6, 2001, Pages 2396-2415

Generating all Wigner functions

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EID: 0035534440     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1366327     Document Type: Article
Times cited : (63)

References (54)
  • 3
    • 33744769996 scopus 로고
    • F. Bayen, M. Flato, C. Fronsdal, A. Lichnerowicz, and D. Sternheimer, Ann. Phys. (N.Y.) 111, 61 (1978); 111, 111 (1978); Lett. Math. Phys. 1, 521 (1977).
    • (1978) Ann. Phys. (N.Y.) , vol.111 , pp. 111
  • 4
    • 0007187703 scopus 로고
    • F. Bayen, M. Flato, C. Fronsdal, A. Lichnerowicz, and D. Sternheimer, Ann. Phys. (N.Y.) 111, 61 (1978); 111, 111 (1978); Lett. Math. Phys. 1, 521 (1977).
    • (1977) Lett. Math. Phys. , vol.1 , pp. 521
  • 7
    • 34547303281 scopus 로고
    • For reviews, see M. Hillery, R. O'Conell, M. Scully, and E. Wigner, Phys. Rep. 106, 121 (1984); H.-W. Lee, ibid. 259, 147 (1995); N. Balasz and B. Jennings, ibid. 104, 347 (1984); R. Littlejohn, ibid. 138, 193 (1986); M. Berry, Philos. Trans. R. Soc. London, Ser. A 287, 237 (1977); M. Gadella, Fortschr. Phys. 43, 229 (1995); P. Carruthers and F. Zachariasen, Rev. Mod. Phys. 55, 245 (1983); L. Cohen, Time-Frequency Analysis (Prentice-Hall, Englewood Cliffs, NJ, 1995); F. Berezin, Sov. Phys. Usp. 23, 763 (1980); A. M. Ozorio de Almeida, Phys. Rep. 295, 265 (1998).
    • (1984) Phys. Rep. , vol.106 , pp. 121
    • Hillery, M.1    O'Conell, R.2    Scully, M.3    Wigner, E.4
  • 8
    • 4243870641 scopus 로고
    • For reviews, see M. Hillery, R. O'Conell, M. Scully, and E. Wigner, Phys. Rep. 106, 121 (1984); H.-W. Lee, ibid. 259, 147 (1995); N. Balasz and B. Jennings, ibid. 104, 347 (1984); R. Littlejohn, ibid. 138, 193 (1986); M. Berry, Philos. Trans. R. Soc. London, Ser. A 287, 237 (1977); M. Gadella, Fortschr. Phys. 43, 229 (1995); P. Carruthers and F. Zachariasen, Rev. Mod. Phys. 55, 245 (1983); L. Cohen, Time-Frequency Analysis (Prentice-Hall, Englewood Cliffs, NJ, 1995); F. Berezin, Sov. Phys. Usp. 23, 763 (1980); A. M. Ozorio de Almeida, Phys. Rep. 295, 265 (1998).
    • (1995) Phys. Rep. , vol.259 , pp. 147
    • Lee, H.-W.1
  • 9
    • 0001555225 scopus 로고
    • For reviews, see M. Hillery, R. O'Conell, M. Scully, and E. Wigner, Phys. Rep. 106, 121 (1984); H.-W. Lee, ibid. 259, 147 (1995); N. Balasz and B. Jennings, ibid. 104, 347 (1984); R. Littlejohn, ibid. 138, 193 (1986); M. Berry, Philos. Trans. R. Soc. London, Ser. A 287, 237 (1977); M. Gadella, Fortschr. Phys. 43, 229 (1995); P. Carruthers and F. Zachariasen, Rev. Mod. Phys. 55, 245 (1983); L. Cohen, Time-Frequency Analysis (Prentice-Hall, Englewood Cliffs, NJ, 1995); F. Berezin, Sov. Phys. Usp. 23, 763 (1980); A. M. Ozorio de Almeida, Phys. Rep. 295, 265 (1998).
    • (1984) Phys. Rep. , vol.104 , pp. 347
    • Balasz, N.1    Jennings, B.2
  • 10
    • 33645082904 scopus 로고
    • For reviews, see M. Hillery, R. O'Conell, M. Scully, and E. Wigner, Phys. Rep. 106, 121 (1984); H.-W. Lee, ibid. 259, 147 (1995); N. Balasz and B. Jennings, ibid. 104, 347 (1984); R. Littlejohn, ibid. 138, 193 (1986); M. Berry, Philos. Trans. R. Soc. London, Ser. A 287, 237 (1977); M. Gadella, Fortschr. Phys. 43, 229 (1995); P. Carruthers and F. Zachariasen, Rev. Mod. Phys. 55, 245 (1983); L. Cohen, Time-Frequency Analysis (Prentice-Hall, Englewood Cliffs, NJ, 1995); F. Berezin, Sov. Phys. Usp. 23, 763 (1980); A. M. Ozorio de Almeida, Phys. Rep. 295, 265 (1998).
    • (1986) Phys. Rep. , vol.138 , pp. 193
    • Littlejohn, R.1
  • 11
    • 34547303281 scopus 로고
    • For reviews, see M. Hillery, R. O'Conell, M. Scully, and E. Wigner, Phys. Rep. 106, 121 (1984); H.-W. Lee, ibid. 259, 147 (1995); N. Balasz and B. Jennings, ibid. 104, 347 (1984); R. Littlejohn, ibid. 138, 193 (1986); M. Berry, Philos. Trans. R. Soc. London, Ser. A 287, 237 (1977); M. Gadella, Fortschr. Phys. 43, 229 (1995); P. Carruthers and F. Zachariasen, Rev. Mod. Phys. 55, 245 (1983); L. Cohen, Time-Frequency Analysis (Prentice-Hall, Englewood Cliffs, NJ, 1995); F. Berezin, Sov. Phys. Usp. 23, 763 (1980); A. M. Ozorio de Almeida, Phys. Rep. 295, 265 (1998).
    • (1977) Philos. Trans. R. Soc. London, Ser. A , vol.287 , pp. 237
    • Berry, M.1
  • 12
    • 84990671390 scopus 로고
    • For reviews, see M. Hillery, R. O'Conell, M. Scully, and E. Wigner, Phys. Rep. 106, 121 (1984); H.-W. Lee, ibid. 259, 147 (1995); N. Balasz and B. Jennings, ibid. 104, 347 (1984); R. Littlejohn, ibid. 138, 193 (1986); M. Berry, Philos. Trans. R. Soc. London, Ser. A 287, 237 (1977); M. Gadella, Fortschr. Phys. 43, 229 (1995); P. Carruthers and F. Zachariasen, Rev. Mod. Phys. 55, 245 (1983); L. Cohen, Time-Frequency Analysis (Prentice-Hall, Englewood Cliffs, NJ, 1995); F. Berezin, Sov. Phys. Usp. 23, 763 (1980); A. M. Ozorio de Almeida, Phys. Rep. 295, 265 (1998).
    • (1995) Fortschr. Phys. , vol.43 , pp. 229
    • Gadella, M.1
  • 13
    • 0001452799 scopus 로고
    • For reviews, see M. Hillery, R. O'Conell, M. Scully, and E. Wigner, Phys. Rep. 106, 121 (1984); H.-W. Lee, ibid. 259, 147 (1995); N. Balasz and B. Jennings, ibid. 104, 347 (1984); R. Littlejohn, ibid. 138, 193 (1986); M. Berry, Philos. Trans. R. Soc. London, Ser. A 287, 237 (1977); M. Gadella, Fortschr. Phys. 43, 229 (1995); P. Carruthers and F. Zachariasen, Rev. Mod. Phys. 55, 245 (1983); L. Cohen, Time-Frequency Analysis (Prentice-Hall, Englewood Cliffs, NJ, 1995); F. Berezin, Sov. Phys. Usp. 23, 763 (1980); A. M. Ozorio de Almeida, Phys. Rep. 295, 265 (1998).
    • (1983) Rev. Mod. Phys. , vol.55 , pp. 245
    • Carruthers, P.1    Zachariasen, F.2
  • 14
    • 34547303281 scopus 로고
    • Prentice-Hall, Englewood Cliffs, NJ
    • For reviews, see M. Hillery, R. O'Conell, M. Scully, and E. Wigner, Phys. Rep. 106, 121 (1984); H.-W. Lee, ibid. 259, 147 (1995); N. Balasz and B. Jennings, ibid. 104, 347 (1984); R. Littlejohn, ibid. 138, 193 (1986); M. Berry, Philos. Trans. R. Soc. London, Ser. A 287, 237 (1977); M. Gadella, Fortschr. Phys. 43, 229 (1995); P. Carruthers and F. Zachariasen, Rev. Mod. Phys. 55, 245 (1983); L. Cohen, Time-Frequency Analysis (Prentice-Hall, Englewood Cliffs, NJ, 1995); F. Berezin, Sov. Phys. Usp. 23, 763 (1980); A. M. Ozorio de Almeida, Phys. Rep. 295, 265 (1998).
    • (1995) Time-frequency Analysis
    • Cohen, L.1
  • 15
    • 84927886956 scopus 로고
    • For reviews, see M. Hillery, R. O'Conell, M. Scully, and E. Wigner, Phys. Rep. 106, 121 (1984); H.-W. Lee, ibid. 259, 147 (1995); N. Balasz and B. Jennings, ibid. 104, 347 (1984); R. Littlejohn, ibid. 138, 193 (1986); M. Berry, Philos. Trans. R. Soc. London, Ser. A 287, 237 (1977); M. Gadella, Fortschr. Phys. 43, 229 (1995); P. Carruthers and F. Zachariasen, Rev. Mod. Phys. 55, 245 (1983); L. Cohen, Time-Frequency Analysis (Prentice-Hall, Englewood Cliffs, NJ, 1995); F. Berezin, Sov. Phys. Usp. 23, 763 (1980); A. M. Ozorio de Almeida, Phys. Rep. 295, 265 (1998).
    • (1980) Sov. Phys. Usp. , vol.23 , pp. 763
    • Berezin, F.1
  • 16
    • 0032020166 scopus 로고    scopus 로고
    • For reviews, see M. Hillery, R. O'Conell, M. Scully, and E. Wigner, Phys. Rep. 106, 121 (1984); H.-W. Lee, ibid. 259, 147 (1995); N. Balasz and B. Jennings, ibid. 104, 347 (1984); R. Littlejohn, ibid. 138, 193 (1986); M. Berry, Philos. Trans. R. Soc. London, Ser. A 287, 237 (1977); M. Gadella, Fortschr. Phys. 43, 229 (1995); P. Carruthers and F. Zachariasen, Rev. Mod. Phys. 55, 245 (1983); L. Cohen, Time-Frequency Analysis (Prentice-Hall, Englewood Cliffs, NJ, 1995); F. Berezin, Sov. Phys. Usp. 23, 763 (1980); A. M. Ozorio de Almeida, Phys. Rep. 295, 265 (1998).
    • (1998) Phys. Rep. , vol.295 , pp. 265
    • Ozorio De Almeida, A.M.1
  • 17
    • 0007084601 scopus 로고    scopus 로고
    • N. Seiberg and E. Witten, J. High Energy Phys. 9909, 032 (1999); for a review, see L. Castellani, Class. Quantum Grav. 17, 3377 (2000) [hep-th/0005210].
    • (1999) J. High Energy Phys. , vol.9909 , pp. 032
    • Seiberg, N.1    Witten, E.2
  • 18
    • 0034341461 scopus 로고    scopus 로고
    • hep-th/0005210
    • N. Seiberg and E. Witten, J. High Energy Phys. 9909, 032 (1999); for a review, see L. Castellani, Class. Quantum Grav. 17, 3377 (2000) [hep-th/0005210].
    • (2000) Class. Quantum Grav. , vol.17 , pp. 3377
    • Castellani, L.1
  • 19
    • 33745055092 scopus 로고
    • G. Baker, Phys. Rev. 109, 2198 (1958); formally underlain by J. v. Neumann, Math. Ann. 104, 570 (1931).
    • (1958) Phys. Rev. , vol.109 , pp. 2198
    • Baker, G.1
  • 20
    • 0000560345 scopus 로고
    • G. Baker, Phys. Rev. 109, 2198 (1958); formally underlain by J. v. Neumann, Math. Ann. 104, 570 (1931).
    • (1931) Math. Ann. , vol.104 , pp. 570
    • Neumann, J.V.1
  • 22
    • 0001357629 scopus 로고
    • F. Hansen, Rev. Mod. Phys. 19, 361 (1984); C. Roger and V. Ovsienko, Russ Math. Surv. 47, 135 (1992); C. Zachos, J. Math. Phys. 41, 5129 (2000) [hep-th/9912238].
    • (1984) Rev. Mod. Phys. , vol.19 , pp. 361
    • Hansen, F.1
  • 23
    • 84956092239 scopus 로고
    • F. Hansen, Rev. Mod. Phys. 19, 361 (1984); C. Roger and V. Ovsienko, Russ Math. Surv. 47, 135 (1992); C. Zachos, J. Math. Phys. 41, 5129 (2000) [hep-th/9912238].
    • (1992) Russ Math. Surv. , vol.47 , pp. 135
    • Roger, C.1    Ovsienko, V.2
  • 24
    • 0034377965 scopus 로고    scopus 로고
    • hep-th/9912238
    • F. Hansen, Rev. Mod. Phys. 19, 361 (1984); C. Roger and V. Ovsienko, Russ Math. Surv. 47, 135 (1992); C. Zachos, J. Math. Phys. 41, 5129 (2000) [hep-th/9912238].
    • (2000) J. Math. Phys. , vol.41 , pp. 5129
    • Zachos, C.1
  • 26
    • 0002872891 scopus 로고
    • edited by J. Hinze Plenum, New York
    • J. Dahl, in Energy Storage and Redistribution, edited by J. Hinze (Plenum, New York, 1983), pp. 557-571, see also L. Cohen, J. Math. Phys. 17, 1863 (1976); W. Kundt, Z. Naturforsch. A 22, 1333 (1967).
    • (1983) Energy Storage and Redistribution , pp. 557-571
    • Dahl, J.1
  • 27
    • 36749108415 scopus 로고
    • J. Dahl, in Energy Storage and Redistribution, edited by J. Hinze (Plenum, New York, 1983), pp. 557-571, see also L. Cohen, J. Math. Phys. 17, 1863 (1976); W. Kundt, Z. Naturforsch. A 22, 1333 (1967).
    • (1976) J. Math. Phys. , vol.17 , pp. 1863
    • Cohen, L.1
  • 28
    • 84944299043 scopus 로고
    • J. Dahl, in Energy Storage and Redistribution, edited by J. Hinze (Plenum, New York, 1983), pp. 557-571, see also L. Cohen, J. Math. Phys. 17, 1863 (1976); W. Kundt, Z. Naturforsch. A 22, 1333 (1967).
    • (1967) Z. Naturforsch. A , vol.22 , pp. 1333
    • Kundt, W.1
  • 30
    • 7644226578 scopus 로고    scopus 로고
    • hep-th/0003160
    • R. Gopakumar, S. Minwalla, and A. Strominger, J. High Energy Phys. 0005, 020 (2000) [hep-th/0003160]; J. Harvey, P. Kraus, F. Larsen, and E. Maitinec, ibid. 0007, 042 (2000) [hep-th/0005031]; K. Dasgupta, S. Mukhi, and G. Rajesh, ibid. 0006, 022 (2000) [hep-th/0005006]; A. Polychronakos, Phys. Lett. B 495, 407 (2000) [hep-th/0007043]; J. Harvey, hep-th/0102076.
    • (2000) J. High Energy Phys. , vol.5 , pp. 020
    • Gopakumar, R.1    Minwalla, S.2    Strominger, A.3
  • 31
    • 6944237582 scopus 로고    scopus 로고
    • hep-th/0005031
    • R. Gopakumar, S. Minwalla, and A. Strominger, J. High Energy Phys. 0005, 020 (2000) [hep-th/0003160]; J. Harvey, P. Kraus, F. Larsen, and E. Maitinec, ibid. 0007, 042 (2000) [hep-th/0005031]; K. Dasgupta, S. Mukhi, and G. Rajesh, ibid. 0006, 022 (2000) [hep-th/0005006]; A. Polychronakos, Phys. Lett. B 495, 407 (2000) [hep-th/0007043]; J. Harvey, hep-th/0102076.
    • (2000) J. High Energy Phys. , vol.7 , pp. 042
    • Harvey, J.1    Kraus, P.2    Larsen, F.3    Maitinec, E.4
  • 32
    • 7044249726 scopus 로고    scopus 로고
    • hep-th/0005006
    • R. Gopakumar, S. Minwalla, and A. Strominger, J. High Energy Phys. 0005, 020 (2000) [hep-th/0003160]; J. Harvey, P. Kraus, F. Larsen, and E. Maitinec, ibid. 0007, 042 (2000) [hep-th/0005031]; K. Dasgupta, S. Mukhi, and G. Rajesh, ibid. 0006, 022 (2000) [hep-th/0005006]; A. Polychronakos, Phys. Lett. B 495, 407 (2000) [hep-th/0007043]; J. Harvey, hep-th/0102076.
    • (2000) J. High Energy Phys. , vol.6 , pp. 022
    • Dasgupta, K.1    Mukhi, S.2    Rajesh, G.3
  • 33
    • 0034649687 scopus 로고    scopus 로고
    • hep-th/0007043
    • R. Gopakumar, S. Minwalla, and A. Strominger, J. High Energy Phys. 0005, 020 (2000) [hep-th/0003160]; J. Harvey, P. Kraus, F. Larsen, and E. Maitinec, ibid. 0007, 042 (2000) [hep-th/0005031]; K. Dasgupta, S. Mukhi, and G. Rajesh, ibid. 0006, 022 (2000) [hep-th/0005006]; A. Polychronakos, Phys. Lett. B 495, 407 (2000) [hep-th/0007043]; J. Harvey, hep-th/0102076.
    • (2000) Phys. Lett. B , vol.495 , pp. 407
    • Polychronakos, A.1
  • 34
    • 0007255598 scopus 로고    scopus 로고
    • J. Harvey, hep-th/0102076
    • R. Gopakumar, S. Minwalla, and A. Strominger, J. High Energy Phys. 0005, 020 (2000) [hep-th/0003160]; J. Harvey, P. Kraus, F. Larsen, and E. Maitinec, ibid. 0007, 042 (2000) [hep-th/0005031]; K. Dasgupta, S. Mukhi, and G. Rajesh, ibid. 0006, 022 (2000) [hep-th/0005006]; A. Polychronakos, Phys. Lett. B 495, 407 (2000) [hep-th/0007043]; J. Harvey, hep-th/0102076.
  • 35
    • 0009525360 scopus 로고
    • H. Weyl, Z. Phys. 46, 1 (1927); also reviewed in H. Weyl, The Theory of Groups and Quantum Mechanics (Dover, New York, 1931).
    • (1927) Z. Phys. , vol.46 , pp. 1
    • Weyl, H.1
  • 42
    • 0001369090 scopus 로고
    • E. D'Hoker and R. Jackiw, Phys. Rev. D 26, 3517 (1982); E. Braaten, T. Curtright, G. Ghandour, and C. Thorn, Ann. Phys. (N.Y.) 153, 147 (1984); T. Curtright and G. Ghandour, Phys. Lett. B 136, 50 (1984); E. D'Hoker, Phys. Rev. D 28, 1346 (1983).
    • (1982) Phys. Rev. D , vol.26 , pp. 3517
    • D'Hoker, E.1    Jackiw, R.2
  • 43
    • 0039717743 scopus 로고
    • E. D'Hoker and R. Jackiw, Phys. Rev. D 26, 3517 (1982); E. Braaten, T. Curtright, G. Ghandour, and C. Thorn, Ann. Phys. (N.Y.) 153, 147 (1984); T. Curtright and G. Ghandour, Phys. Lett. B 136, 50 (1984); E. D'Hoker, Phys. Rev. D 28, 1346 (1983).
    • (1984) Ann. Phys. (N.Y.) , vol.153 , pp. 147
    • Braaten, E.1    Curtright, T.2    Ghandour, G.3    Thorn, C.4
  • 44
    • 0002950869 scopus 로고
    • E. D'Hoker and R. Jackiw, Phys. Rev. D 26, 3517 (1982); E. Braaten, T. Curtright, G. Ghandour, and C. Thorn, Ann. Phys. (N.Y.) 153, 147 (1984); T. Curtright and G. Ghandour, Phys. Lett. B 136, 50 (1984); E. D'Hoker, Phys. Rev. D 28, 1346 (1983).
    • (1984) Phys. Lett. B , vol.136 , pp. 50
    • Curtright, T.1    Ghandour, G.2
  • 45
    • 0000626803 scopus 로고
    • E. D'Hoker and R. Jackiw, Phys. Rev. D 26, 3517 (1982); E. Braaten, T. Curtright, G. Ghandour, and C. Thorn, Ann. Phys. (N.Y.) 153, 147 (1984); T. Curtright and G. Ghandour, Phys. Lett. B 136, 50 (1984); E. D'Hoker, Phys. Rev. D 28, 1346 (1983).
    • (1983) Phys. Rev. D , vol.28 , pp. 1346
    • D'Hoker, E.1
  • 48
    • 0007326381 scopus 로고    scopus 로고
    • T. Curtright, quant-ph/0011101
    • T. Curtright, quant-ph/0011101.
  • 49
    • 0000652537 scopus 로고
    • D. Han, Y. Kim, and M. Noz, Phys. Rev. A 40, 902 (1989); M. Hennings, T. Smith, and D. Dubin, J. Phys. A 28, 6779 (1995); 28, 6809 (1995); J. Klauder and B. Skagerstam, Coherent States (World Scientific, Singapore, 1985).
    • (1989) Phys. Rev. A , vol.40 , pp. 902
    • Han, D.1    Kim, Y.2    Noz, M.3
  • 50
    • 0001153792 scopus 로고
    • D. Han, Y. Kim, and M. Noz, Phys. Rev. A 40, 902 (1989); M. Hennings, T. Smith, and D. Dubin, J. Phys. A 28, 6779 (1995); 28, 6809 (1995); J. Klauder and B. Skagerstam, Coherent States (World Scientific, Singapore, 1985).
    • (1995) J. Phys. A , vol.28 , pp. 6779
    • Hennings, M.1    Smith, T.2    Dubin, D.3
  • 51
    • 0000652537 scopus 로고
    • D. Han, Y. Kim, and M. Noz, Phys. Rev. A 40, 902 (1989); M. Hennings, T. Smith, and D. Dubin, J. Phys. A 28, 6779 (1995); 28, 6809 (1995); J. Klauder and B. Skagerstam, Coherent States (World Scientific, Singapore, 1985).
    • (1995) J. Phys. A , vol.28 , pp. 6809
  • 52
    • 0000652537 scopus 로고
    • World Scientific, Singapore
    • D. Han, Y. Kim, and M. Noz, Phys. Rev. A 40, 902 (1989); M. Hennings, T. Smith, and D. Dubin, J. Phys. A 28, 6779 (1995); 28, 6809 (1995); J. Klauder and B. Skagerstam, Coherent States (World Scientific, Singapore, 1985).
    • (1985) Coherent States
    • Klauder, J.1    Skagerstam, B.2


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