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Volumn 39, Issue 8, 1998, Pages 3954-3964

A general theorem on square-integrability: Vector coherent states

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EID: 0001139899     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532478     Document Type: Article
Times cited : (19)

References (19)
  • 1
    • 0000397236 scopus 로고
    • Coherent states and their generalizations: A mathematical overview
    • S. T. Ali, J.-P. Antoine, J.-P. Gazeau, and U.-A. Müller, "Coherent states and their generalizations: A mathematical overview," Rev. Math. Phys. 7, 1013-1104 (1995).
    • (1995) Rev. Math. Phys. , vol.7 , pp. 1013-1104
    • Ali, S.T.1    Antoine, J.-P.2    Gazeau, J.-P.3    Müller, U.-A.4
  • 2
    • 36549092519 scopus 로고
    • Integral transforms associated to square integrable representations. I. General results
    • A. Grossmann, J. Morlet, and T. Paul, "Integral transforms associated to square integrable representations. I. General results," J. Math. Phys. 26, 2473-2479 (1985).
    • (1985) J. Math. Phys. , vol.26 , pp. 2473-2479
    • Grossmann, A.1    Morlet, J.2    Paul, T.3
  • 3
    • 36849043157 scopus 로고
    • Generalized vector coherent state theoiy of sp (2n, ℝ) vector operators and of sp(2n, ℝ) ⊃ u(N) reduced wigner coefficients
    • C. Quesne, "Generalized vector coherent state theoiy of sp (2n, ℝ) vector operators and of sp(2n, ℝ) ⊃ u(N) reduced Wigner coefficients," J. Phys. A: Math. Gen. 24, 2697-2174 (1991).
    • (1991) J. Phys. A: Math. Gen. , vol.24 , pp. 2697-12174
    • Quesne, C.1
  • 4
    • 0000420487 scopus 로고
    • Vector coherent state representation theory
    • D. J. Rowe, G. Rosensteel, and R. Gilmore, "Vector coherent state representation theory," J. Math. Phys. 26, 2787-2791 (1985).
    • (1985) J. Math. Phys. , vol.26 , pp. 2787-2791
    • Rowe, D.J.1    Rosensteel, G.2    Gilmore, R.3
  • 5
    • 0001252953 scopus 로고
    • Vector-coherent-state theory as a theory of induced representations
    • D. J. Rowe and J. Repka, "Vector-coherent-state theory as a theory of induced representations," J. Math. Phys. 32, 2614-2634 (1991).
    • (1991) J. Math. Phys. , vol.32 , pp. 2614-2634
    • Rowe, D.J.1    Repka, J.2
  • 6
    • 0004774156 scopus 로고
    • Geometry of symmetrized states
    • R. Gilmore, "Geometry of symmetrized states," Ann. Phys. (N.Y.) 74, 391-463 (1972); "On properties of coherent states," Rev. Mex. Fis. 23, 143-187 (1974).
    • (1972) Ann. Phys. (N.Y.) , vol.74 , pp. 391-463
    • Gilmore, R.1
  • 7
    • 0004774156 scopus 로고
    • On properties of coherent states
    • R. Gilmore, "Geometry of symmetrized states," Ann. Phys. (N.Y.) 74, 391-463 (1972); "On properties of coherent states," Rev. Mex. Fis. 23, 143-187 (1974).
    • (1974) Rev. Mex. Fis. , vol.23 , pp. 143-187
  • 9
    • 21844493660 scopus 로고
    • On informational completeness of covariant localization observables and Wigner coefficients
    • D. M. Healy, Jr., and F. E. Schroeck, Jr., "On informational completeness of covariant localization observables and Wigner coefficients," J. Math. Phys. 36, 453-507 (1995).
    • (1995) J. Math. Phys. , vol.36 , pp. 453-507
    • Healy D.M., Jr.1    Schroeck F.E., Jr.2
  • 10
    • 77957176704 scopus 로고
    • Coherent states and kähler manifolds
    • Oxford
    • J. H. Rawnsley, "Coherent states and Kähler manifolds," Quart. J. Math., Oxford 28, 403-415 (1977).
    • (1977) Quart. J. Math. , vol.28 , pp. 403-415
    • Rawnsley, J.H.1
  • 11
    • 0001178346 scopus 로고
    • Imprimitivity for representations of locally compact groups I
    • G. W. Mackey, "Imprimitivity for representations of locally compact groups I," Proc. Natl. Acad. Sci. USA 35, 537-545 (1949).
    • (1949) Proc. Natl. Acad. Sci. USA , vol.35 , pp. 537-545
    • Mackey, G.W.1
  • 12
    • 0039764302 scopus 로고
    • Densities of covariant observables
    • U. Cattaneo, "Densities of covariant observables," J. Math. Phys. 23, 659-664 (1982).
    • (1982) J. Math. Phys. , vol.23 , pp. 659-664
    • Cattaneo, U.1
  • 14
    • 0001505487 scopus 로고
    • Square integrability of group representations on homogeneous spaces. II. Coherent and quasi-coherent states. The case of the poincaré group
    • S. T. Ali, J-P. Antoine, and J-P. Gazeau, "Square integrability of group representations on homogeneous spaces. II. Coherent and quasi-coherent states. The case of the Poincaré group," Ann. Inst. Henri Poincaré: Phys. Theor. 55, 857-890 (1991).
    • (1991) Ann. Inst. Henri Poincaré: Phys. Theor. , vol.55 , pp. 857-890
    • Ali, S.T.1    Antoine, J.-P.2    Gazeau, J.-P.3
  • 15
    • 0001591825 scopus 로고
    • Coherent states and induced representations
    • H. Scutaru, "Coherent states and induced representations," Lett. Math. Phys. 2, 101-107 (1977).
    • (1977) Lett. Math. Phys. , vol.2 , pp. 101-107
    • Scutaru, H.1
  • 16
    • 0003919998 scopus 로고
    • Galilei group and non-relativistic quantum mechanics
    • J-M. Lévy-Leblond, "Galilei group and non-relativistic quantum mechanics," J. Math. Phys. 4, 453-507 (1963).
    • (1963) J. Math. Phys. , vol.4 , pp. 453-507
    • Lévy-Leblond, J.-M.1
  • 17
    • 0000026988 scopus 로고
    • Galilei group and Galilean invariance
    • edited by Ernest M. Loebl Academic, New York
    • J-M. Lévy-Leblond, "Galilei group and Galilean invariance," in Group Theory and its Applications, edited by Ernest M. Loebl (Academic, New York, 1971), Vol. II, pp. 221-299.
    • (1971) Group Theory and Its Applications , vol.2 , pp. 221-299
    • Lévy-Leblond, J.-M.1
  • 18
    • 21144483665 scopus 로고
    • Coherent states and geometric quantization
    • A. Odzijewicz, "Coherent states and geometric quantization," Commun. Math. Phys. 150, 385-413 (1992).
    • (1992) Commun. Math. Phys. , vol.150 , pp. 385-413
    • Odzijewicz, A.1


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