메뉴 건너뛰기




Volumn 69, Issue 1, 2004, Pages 121021-121027

Coherent states for exactly solvable potentials

Author keywords

[No Author keywords available]

Indexed keywords

BESSEL FUNCTIONS; CORRELATION METHODS; DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; LINEAR EQUATIONS; MATHEMATICAL OPERATORS; POISSON DISTRIBUTION; POLYNOMIALS;

EID: 3543000412     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (35)

References (72)
  • 1
    • 0000319244 scopus 로고
    • J.R. Klauder, Ann. Phys. 11, 123 (1960); R.J. Glauber, Phys. Rev. Lett. 10, 84 (1963); E.C.G. Sudarshan, ibid. 10, 277 (1963); J.R. Klauder, J. Math. Phys. 4, 1055 (1963); A.O. Barut and L. Girardello, Commun. Math. Phys. 21, 41 (1971); M.M. Nieto and L.M. Simmons, Jr., Phys. Rev. Lett. 41, 207 (1978); J.P. Gazeau and J.R. Klauder, J. Phys. A 32, 123 (1999).
    • (1960) Ann. Phys. , vol.11 , pp. 123
    • Klauder, J.R.1
  • 2
    • 34548601250 scopus 로고
    • J.R. Klauder, Ann. Phys. 11, 123 (1960); R.J. Glauber, Phys. Rev. Lett. 10, 84 (1963); E.C.G. Sudarshan, ibid. 10, 277 (1963); J.R. Klauder, J. Math. Phys. 4, 1055 (1963); A.O. Barut and L. Girardello, Commun. Math. Phys. 21, 41 (1971); M.M. Nieto and L.M. Simmons, Jr., Phys. Rev. Lett. 41, 207 (1978); J.P. Gazeau and J.R. Klauder, J. Phys. A 32, 123 (1999).
    • (1963) Phys. Rev. Lett. , vol.10 , pp. 84
    • Glauber, R.J.1
  • 3
    • 0001217229 scopus 로고
    • J.R. Klauder, Ann. Phys. 11, 123 (1960); R.J. Glauber, Phys. Rev. Lett. 10, 84 (1963); E.C.G. Sudarshan, ibid. 10, 277 (1963); J.R. Klauder, J. Math. Phys. 4, 1055 (1963); A.O. Barut and L. Girardello, Commun. Math. Phys. 21, 41 (1971); M.M. Nieto and L.M. Simmons, Jr., Phys. Rev. Lett. 41, 207 (1978); J.P. Gazeau and J.R. Klauder, J. Phys. A 32, 123 (1999).
    • (1963) Phys. Rev. Lett. , vol.10 , pp. 277
    • Sudarshan, E.C.G.1
  • 4
    • 5344225023 scopus 로고
    • J.R. Klauder, Ann. Phys. 11, 123 (1960); R.J. Glauber, Phys. Rev. Lett. 10, 84 (1963); E.C.G. Sudarshan, ibid. 10, 277 (1963); J.R. Klauder, J. Math. Phys. 4, 1055 (1963); A.O. Barut and L. Girardello, Commun. Math. Phys. 21, 41 (1971); M.M. Nieto and L.M. Simmons, Jr., Phys. Rev. Lett. 41, 207 (1978); J.P. Gazeau and J.R. Klauder, J. Phys. A 32, 123 (1999).
    • (1963) J. Math. Phys. , vol.4 , pp. 1055
    • Klauder, J.R.1
  • 5
    • 34250460403 scopus 로고
    • J.R. Klauder, Ann. Phys. 11, 123 (1960); R.J. Glauber, Phys. Rev. Lett. 10, 84 (1963); E.C.G. Sudarshan, ibid. 10, 277 (1963); J.R. Klauder, J. Math. Phys. 4, 1055 (1963); A.O. Barut and L. Girardello, Commun. Math. Phys. 21, 41 (1971); M.M. Nieto and L.M. Simmons, Jr., Phys. Rev. Lett. 41, 207 (1978); J.P. Gazeau and J.R. Klauder, J. Phys. A 32, 123 (1999).
    • (1971) Commun. Math. Phys. , vol.21 , pp. 41
    • Barut, A.O.1    Girardello, L.2
  • 6
    • 0000092588 scopus 로고
    • J.R. Klauder, Ann. Phys. 11, 123 (1960); R.J. Glauber, Phys. Rev. Lett. 10, 84 (1963); E.C.G. Sudarshan, ibid. 10, 277 (1963); J.R. Klauder, J. Math. Phys. 4, 1055 (1963); A.O. Barut and L. Girardello, Commun. Math. Phys. 21, 41 (1971); M.M. Nieto and L.M. Simmons, Jr., Phys. Rev. Lett. 41, 207 (1978); J.P. Gazeau and J.R. Klauder, J. Phys. A 32, 123 (1999).
    • (1978) Phys. Rev. Lett. , vol.41 , pp. 207
    • Nieto, M.M.1    Simmons Jr., L.M.2
  • 7
    • 0033534254 scopus 로고    scopus 로고
    • J.R. Klauder, Ann. Phys. 11, 123 (1960); R.J. Glauber, Phys. Rev. Lett. 10, 84 (1963); E.C.G. Sudarshan, ibid. 10, 277 (1963); J.R. Klauder, J. Math. Phys. 4, 1055 (1963); A.O. Barut and L. Girardello, Commun. Math. Phys. 21, 41 (1971); M.M. Nieto and L.M. Simmons, Jr., Phys. Rev. Lett. 41, 207 (1978); J.P. Gazeau and J.R. Klauder, J. Phys. A 32, 123 (1999).
    • (1999) J. Phys. A , vol.32 , pp. 123
    • Gazeau, J.P.1    Klauder, J.R.2
  • 16
    • 0000147971 scopus 로고
    • C.C. Gerry and J. Kiefer, Phys. Rev. A 37, 665 (1988); J.R. Klauder, J. Phys. A 29, L293 (1996); P. Majumdar and H.S. Sharatchandra, Phys. Rev. A 56, R3322 (1997); R.F. Fox, ibid. 59, 3241 (1999); M.G.A. Crawford, ibid. 62, 012104 (2000); S.A. Polshin, J. Phys. A 33, L357 (2000), and references therein.
    • (1988) Phys. Rev. A , vol.37 , pp. 665
    • Gerry, C.C.1    Kiefer, J.2
  • 17
    • 21344433843 scopus 로고    scopus 로고
    • C.C. Gerry and J. Kiefer, Phys. Rev. A 37, 665 (1988); J.R. Klauder, J. Phys. A 29, L293 (1996); P. Majumdar and H.S. Sharatchandra, Phys. Rev. A 56, R3322 (1997); R.F. Fox, ibid. 59, 3241 (1999); M.G.A. Crawford, ibid. 62, 012104 (2000); S.A. Polshin, J. Phys. A 33, L357 (2000), and references therein.
    • (1996) J. Phys. A , vol.29
    • Klauder, J.R.1
  • 18
    • 0000527054 scopus 로고    scopus 로고
    • C.C. Gerry and J. Kiefer, Phys. Rev. A 37, 665 (1988); J.R. Klauder, J. Phys. A 29, L293 (1996); P. Majumdar and H.S. Sharatchandra, Phys. Rev. A 56, R3322 (1997); R.F. Fox, ibid. 59, 3241 (1999); M.G.A. Crawford, ibid. 62, 012104 (2000); S.A. Polshin, J. Phys. A 33, L357 (2000), and references therein.
    • (1997) Phys. Rev. A , vol.56
    • Majumdar, P.1    Sharatchandra, H.S.2
  • 19
    • 0001601347 scopus 로고    scopus 로고
    • C.C. Gerry and J. Kiefer, Phys. Rev. A 37, 665 (1988); J.R. Klauder, J. Phys. A 29, L293 (1996); P. Majumdar and H.S. Sharatchandra, Phys. Rev. A 56, R3322 (1997); R.F. Fox, ibid. 59, 3241 (1999); M.G.A. Crawford, ibid. 62, 012104 (2000); S.A. Polshin, J. Phys. A 33, L357 (2000), and references therein.
    • (1999) Phys. Rev. A , vol.59 , pp. 3241
    • Fox, R.F.1
  • 20
    • 0034230239 scopus 로고    scopus 로고
    • C.C. Gerry and J. Kiefer, Phys. Rev. A 37, 665 (1988); J.R. Klauder, J. Phys. A 29, L293 (1996); P. Majumdar and H.S. Sharatchandra, Phys. Rev. A 56, R3322 (1997); R.F. Fox, ibid. 59, 3241 (1999); M.G.A. Crawford, ibid. 62, 012104 (2000); S.A. Polshin, J. Phys. A 33, L357 (2000), and references therein.
    • (2000) Phys. Rev. A , vol.62 , pp. 012104
    • Crawford, M.G.A.1
  • 21
    • 0039965064 scopus 로고    scopus 로고
    • and references therein
    • C.C. Gerry and J. Kiefer, Phys. Rev. A 37, 665 (1988); J.R. Klauder, J. Phys. A 29, L293 (1996); P. Majumdar and H.S. Sharatchandra, Phys. Rev. A 56, R3322 (1997); R.F. Fox, ibid. 59, 3241 (1999); M.G.A. Crawford, ibid. 62, 012104 (2000); S.A. Polshin, J. Phys. A 33, L357 (2000), and references therein.
    • (2000) J. Phys. A , vol.33
    • Polshin, S.A.1
  • 26
    • 4243710073 scopus 로고    scopus 로고
    • N. Gurappa, P.S. Mohanty, and P.K. Panigrahi, Phys. Rev. A 61, 034703 (2000); M.M. Nieto, Mod. Phys. Lett. A 16, 2305 (2001); A. Chenaghlou and H. Fakhri, ibid. 17, 1701 (2002).
    • (2000) Phys. Rev. A , vol.61 , pp. 034703
    • Gurappa, N.1    Mohanty, P.S.2    Panigrahi, P.K.3
  • 27
    • 0035923884 scopus 로고    scopus 로고
    • N. Gurappa, P.S. Mohanty, and P.K. Panigrahi, Phys. Rev. A 61, 034703 (2000); M.M. Nieto, Mod. Phys. Lett. A 16, 2305 (2001); A. Chenaghlou and H. Fakhri, ibid. 17, 1701 (2002).
    • (2001) Mod. Phys. Lett. A , vol.16 , pp. 2305
    • Nieto, M.M.1
  • 28
    • 0037200489 scopus 로고    scopus 로고
    • N. Gurappa, P.S. Mohanty, and P.K. Panigrahi, Phys. Rev. A 61, 034703 (2000); M.M. Nieto, Mod. Phys. Lett. A 16, 2305 (2001); A. Chenaghlou and H. Fakhri, ibid. 17, 1701 (2002).
    • (2002) Mod. Phys. Lett. A , vol.17 , pp. 1701
    • Chenaghlou, A.1    Fakhri, H.2
  • 29
    • 0002163933 scopus 로고
    • M.S. Child and L. Halonen, Adv. Chem. Phys. 62, 1 (1984); L. Pauling and E. B. Wilson, Jr., Introduction to Quantum Mechanics with Applications to Chemistry (Dover, New York, 1985); P. Jensen, Mol. Phys. 98, 1253 (2000), and references therein.
    • (1984) Adv. Chem. Phys. , vol.62 , pp. 1
    • Child, M.S.1    Halonen, L.2
  • 31
    • 0034633391 scopus 로고    scopus 로고
    • and references therein
    • M.S. Child and L. Halonen, Adv. Chem. Phys. 62, 1 (1984); L. Pauling and E. B. Wilson, Jr., Introduction to Quantum Mechanics with Applications to Chemistry (Dover, New York, 1985); P. Jensen, Mol. Phys. 98, 1253 (2000), and references therein.
    • (2000) Mol. Phys. , vol.98 , pp. 1253
    • Jensen, P.1
  • 33
    • 0043141488 scopus 로고
    • A. ten Wolde, L.D. Noordam, H.G. Muller, A. Lagendijk, and H.D. van Linden van den Heuvell, Phys. Rev. Lett. 61, 2099 (1988); J.A. Yeazell, M. Mallalieu, J. Parker, and C.R. Stroud, Jr., Phys. Rev. A 40, 5040 (1989); J.A. Yeazell and C.R. Stroud, Jr., ibid. 43, 5153 (1991); E.A. Shapiro and P. Bellomo, ibid. 60, 1403 (1999), and references therein.
    • (1989) Phys. Rev. A , vol.40 , pp. 5040
    • Yeazell, J.A.1    Mallalieu, M.2    Parker, J.3    Stroud Jr., C.R.4
  • 34
    • 4243594872 scopus 로고
    • A. ten Wolde, L.D. Noordam, H.G. Muller, A. Lagendijk, and H.D. van Linden van den Heuvell, Phys. Rev. Lett. 61, 2099 (1988); J.A. Yeazell, M. Mallalieu, J. Parker, and C.R. Stroud, Jr., Phys. Rev. A 40, 5040 (1989); J.A. Yeazell and C.R. Stroud, Jr., ibid. 43, 5153 (1991); E.A. Shapiro and P. Bellomo, ibid. 60, 1403 (1999), and references therein.
    • (1991) Phys. Rev. A , vol.43 , pp. 5153
    • Yeazell, J.A.1    Stroud Jr., C.R.2
  • 35
    • 0002119444 scopus 로고    scopus 로고
    • and references therein
    • A. ten Wolde, L.D. Noordam, H.G. Muller, A. Lagendijk, and H.D. van Linden van den Heuvell, Phys. Rev. Lett. 61, 2099 (1988); J.A. Yeazell, M. Mallalieu, J. Parker, and C.R. Stroud, Jr., Phys. Rev. A 40, 5040 (1989); J.A. Yeazell and C.R. Stroud, Jr., ibid. 43, 5153 (1991); E.A. Shapiro and P. Bellomo, ibid. 60, 1403 (1999), and references therein.
    • (1999) Phys. Rev. A , vol.60 , pp. 1403
    • Shapiro, E.A.1    Bellomo, P.2
  • 36
    • 85015716713 scopus 로고    scopus 로고
    • A. Muthukrishnan and C.R. Stroud, Jr., e-print quant-ph/0106165
    • A. Muthukrishnan and C.R. Stroud, Jr., e-print quant-ph/0106165; J. Ahn, C. Rangan, D.N. Hutchinson, and P.H. Bucksbaum, Phys. Rev. A 66, 022312 (2002); M.S. Safronova, C.J. Williams, and C.W. Clark, ibid. 67, 040303 (2003), and references therein.
  • 37
    • 12244310143 scopus 로고    scopus 로고
    • A. Muthukrishnan and C.R. Stroud, Jr., e-print quant-ph/0106165; J. Ahn, C. Rangan, D.N. Hutchinson, and P.H. Bucksbaum, Phys. Rev. A 66, 022312 (2002); M.S. Safronova, C.J. Williams, and C.W. Clark, ibid. 67, 040303 (2003), and references therein.
    • (2002) Phys. Rev. A , vol.66 , pp. 022312
    • Ahn, J.1    Rangan, C.2    Hutchinson, D.N.3    Bucksbaum, P.H.4
  • 38
    • 0038647810 scopus 로고    scopus 로고
    • and references therein
    • A. Muthukrishnan and C.R. Stroud, Jr., e-print quant-ph/0106165; J. Ahn, C. Rangan, D.N. Hutchinson, and P.H. Bucksbaum, Phys. Rev. A 66, 022312 (2002); M.S. Safronova, C.J. Williams, and C.W. Clark, ibid. 67, 040303 (2003), and references therein.
    • (2003) Phys. Rev. A , vol.67 , pp. 040303
    • Safronova, M.S.1    Williams, C.J.2    Clark, C.W.3
  • 39
    • 0000540517 scopus 로고
    • F. Cooper, A. Khare, and U.P. Sukhatme, Phys. Rep. 251, 268 (1995); F. Cooper, A. Khare, and U.P. Sukhatme, Supersymmetry in Quantum Mechanics (World Scientific, Singapore, 2001).
    • (1995) Phys. Rep. , vol.251 , pp. 268
    • Cooper, F.1    Khare, A.2    Sukhatme, U.P.3
  • 43
    • 4244070323 scopus 로고    scopus 로고
    • N. Gurappa and P.K. Panigrahi, Phys. Rev. B 62, 1943 (2000); N. Gurappa and P.K. Panigrahi, ibid. 67, 155323 (2003).
    • (2000) Phys. Rev. B , vol.62 , pp. 1943
    • Gurappa, N.1    Panigrahi, P.K.2
  • 44
    • 0038518144 scopus 로고    scopus 로고
    • N. Gurappa and P.K. Panigrahi, Phys. Rev. B 62, 1943 (2000); N. Gurappa and P.K. Panigrahi, ibid. 67, 155323 (2003).
    • (2003) Phys. Rev. B , vol.67 , pp. 155323
    • Gurappa, N.1    Panigrahi, P.K.2
  • 45
    • 0037821425 scopus 로고    scopus 로고
    • edited B.G. Sidharth and M.V. Altaisky (Kluwer, New York)
    • N. Gurappa, P. K. Panigrahi, T. Shreecharan, and S. Sree Ran-jani, in Frontiers of Fundamental Physics 4, edited B.G. Sidharth and M.V. Altaisky (Kluwer, New York, 2001); N. Gurappa, P.K. Panigrahi, and T. Shreecharan, J. Comput. Appl. Math, (to be published), e-print math-ph/0203015.
    • (2001) Frontiers of Fundamental Physics , vol.4
    • Gurappa, N.1    Panigrahi, P.K.2    Shreecharan, T.3    Sree Ranjani, S.4
  • 46
    • 85015797894 scopus 로고    scopus 로고
    • to be published, e-print math-ph/0203015
    • N. Gurappa, P. K. Panigrahi, T. Shreecharan, and S. Sree Ran-jani, in Frontiers of Fundamental Physics 4, edited B.G. Sidharth and M.V. Altaisky (Kluwer, New York, 2001); N. Gurappa, P.K. Panigrahi, and T. Shreecharan, J. Comput. Appl. Math, (to be published), e-print math-ph/0203015.
    • J. Comput. Appl. Math.
    • Gurappa, N.1    Panigrahi, P.K.2    Shreecharan, T.3
  • 47
    • 0000373289 scopus 로고    scopus 로고
    • R.L. de Filho and W. Vogel, Phys. Rev. A 54, 4560 (1996); V.I. Man'ko, G. Marmo, E.C.G. Sudarshan, and F. Zaccaria, Phys. Scr. 55, 528 (1997); O.V. Man'ko, Phys. Lett. A 228, 29 (1997); S. Mancini, ibid. 233, 29 (1997).
    • (1996) Phys. Rev. A , vol.54 , pp. 4560
    • De Filho, R.L.1    Vogel, W.2
  • 48
    • 0031145114 scopus 로고    scopus 로고
    • R.L. de Filho and W. Vogel, Phys. Rev. A 54, 4560 (1996); V.I. Man'ko, G. Marmo, E.C.G. Sudarshan, and F. Zaccaria, Phys. Scr. 55, 528 (1997); O.V. Man'ko, Phys. Lett. A 228, 29 (1997); S. Mancini, ibid. 233, 29 (1997).
    • (1997) Phys. Scr. , vol.55 , pp. 528
    • Man'ko, V.I.1    Marmo, G.2    Sudarshan, E.C.G.3    Zaccaria, F.4
  • 49
    • 0041761111 scopus 로고    scopus 로고
    • R.L. de Filho and W. Vogel, Phys. Rev. A 54, 4560 (1996); V.I. Man'ko, G. Marmo, E.C.G. Sudarshan, and F. Zaccaria, Phys. Scr. 55, 528 (1997); O.V. Man'ko, Phys. Lett. A 228, 29 (1997); S. Mancini, ibid. 233, 29 (1997).
    • (1997) Phys. Lett. A , vol.228 , pp. 29
    • Man'ko, O.V.1
  • 50
    • 0000373289 scopus 로고    scopus 로고
    • R.L. de Filho and W. Vogel, Phys. Rev. A 54, 4560 (1996); V.I. Man'ko, G. Marmo, E.C.G. Sudarshan, and F. Zaccaria, Phys. Scr. 55, 528 (1997); O.V. Man'ko, Phys. Lett. A 228, 29 (1997); S. Mancini, ibid. 233, 29 (1997).
    • (1997) Phys. Lett. A , vol.233 , pp. 29
    • Mancini, S.1
  • 53
    • 4244045533 scopus 로고
    • I.Sh. Averbukh and N.F. Parleman, Phys. Lett. A 139, 449 (1989); Z.D. Gaeta and C.R. Stroud, Jr., Phys. Rev. A 42, 6308 (1990); R. Bluhm, V.A. Kostelecky, and B. Tudose, ibid. 52, 2234 (1995); G.S. Agarwal and J. Banerji, ibid. 57, 3880 (1998), and references therein.
    • (1989) Phys. Lett. A , vol.139 , pp. 449
    • Averbukh, I.Sh.1    Parleman, N.F.2
  • 54
    • 3043006772 scopus 로고
    • I.Sh. Averbukh and N.F. Parleman, Phys. Lett. A 139, 449 (1989); Z.D. Gaeta and C.R. Stroud, Jr., Phys. Rev. A 42, 6308 (1990); R. Bluhm, V.A. Kostelecky, and B. Tudose, ibid. 52, 2234 (1995); G.S. Agarwal and J. Banerji, ibid. 57, 3880 (1998), and references therein.
    • (1990) Phys. Rev. A , vol.42 , pp. 6308
    • Gaeta, Z.D.1    Stroud Jr., C.R.2
  • 55
    • 0000680671 scopus 로고
    • I.Sh. Averbukh and N.F. Parleman, Phys. Lett. A 139, 449 (1989); Z.D. Gaeta and C.R. Stroud, Jr., Phys. Rev. A 42, 6308 (1990); R. Bluhm, V.A. Kostelecky, and B. Tudose, ibid. 52, 2234 (1995); G.S. Agarwal and J. Banerji, ibid. 57, 3880 (1998), and references therein.
    • (1995) Phys. Rev. A , vol.52 , pp. 2234
    • Bluhm, R.1    Kostelecky, V.A.2    Tudose, B.3
  • 56
    • 0001308403 scopus 로고    scopus 로고
    • and references therein
    • I.Sh. Averbukh and N.F. Parleman, Phys. Lett. A 139, 449 (1989); Z.D. Gaeta and C.R. Stroud, Jr., Phys. Rev. A 42, 6308 (1990); R. Bluhm, V.A. Kostelecky, and B. Tudose, ibid. 52, 2234 (1995); G.S. Agarwal and J. Banerji, ibid. 57, 3880 (1998), and references therein.
    • (1998) Phys. Rev. A , vol.57 , pp. 3880
    • Agarwal, G.S.1    Banerji, J.2
  • 61
    • 0031533829 scopus 로고    scopus 로고
    • H.C. Fu and R. Sasaki, J. Math. Phys. 38, 2154 (1997); T. Appl and D.H. Schiller, e-print quant-ph/0308013.
    • (1997) J. Math. Phys. , vol.38 , pp. 2154
    • Fu, H.C.1    Sasaki, R.2
  • 62
    • 0031533829 scopus 로고    scopus 로고
    • T. Appl and D.H. Schiller, e-print quant-ph/0308013
    • H.C. Fu and R. Sasaki, J. Math. Phys. 38, 2154 (1997); T. Appl and D.H. Schiller, e-print quant-ph/0308013.
  • 67
    • 4043079183 scopus 로고    scopus 로고
    • S.J. van Enk, Phys. Rev. Lett. 91, 017902 (2003); N. Ba An, Phys. Rev. A 68, 022321 (2003), and references therein.
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 017902
    • Van Enk, S.J.1
  • 68
    • 0142025184 scopus 로고    scopus 로고
    • and references therein
    • S.J. van Enk, Phys. Rev. Lett. 91, 017902 (2003); N. Ba An, Phys. Rev. A 68, 022321 (2003), and references therein.
    • (2003) Phys. Rev. A , vol.68 , pp. 022321
    • Ba An, N.1
  • 72
    • 0000551082 scopus 로고    scopus 로고
    • G.S. Agarwal and S. Chaturvedi, J. Phys. A 28, 5747 (1995); B. Sutherland, Phys. Rev. Lett. 80, 3678 (1998).
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 3678
    • Sutherland, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.