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Volumn 25, Issue 4, 2008, Pages 974-978

Eigenfunctions of the complex fractional Fourier transform obtained in the context of quantum optics

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; FUNCTION EVALUATION; MINES; QUANTUM OPTICS; QUANTUM THEORY;

EID: 60949090053     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.25.000974     Document Type: Article
Times cited : (14)

References (25)
  • 1
    • 77958407025 scopus 로고
    • The fractional order Fourier transform and its application to quantum mechanics
    • V. Namias, "The fractional order Fourier transform and its application to quantum mechanics," J. Inst. Math. Appl. 25, 241-265 (1980).
    • (1980) J. Inst. Math. Appl , vol.25 , pp. 241-265
    • Namias, V.1
  • 2
    • 77957689582 scopus 로고
    • On Namias's fractional Fourier transforms
    • A. C. McBride and F. H. Kerr, "On Namias's fractional Fourier transforms," IMA J. Appl. Math. 39, 159-175 (1987).
    • (1987) IMA J. Appl. Math , vol.39 , pp. 159-175
    • McBride, A.C.1    Kerr, F.H.2
  • 3
    • 0027652515 scopus 로고
    • Fractional Fourier transforms and their optical implementation: I
    • D. Mendlovic and H. M. Ozaktas, "Fractional Fourier transforms and their optical implementation: I.," J. Opt. Soc. Am. A 10, 1875-1881 (1993).
    • (1993) J. Opt. Soc. Am. A , vol.10 , pp. 1875-1881
    • Mendlovic, D.1    Ozaktas, H.M.2
  • 4
    • 0028382656 scopus 로고
    • Convolution, filtering, and mutiplexing in fractional Fourier domains and their relation to chirp and wavelet transforms
    • H. M. Ozaktas and B. Barshan, "Convolution, filtering, and mutiplexing in fractional Fourier domains and their relation to chirp and wavelet transforms," J. Opt. Soc. Am. A 11, 547-559 (1994).
    • (1994) J. Opt. Soc. Am. A , vol.11 , pp. 547-559
    • Ozaktas, H.M.1    Barshan, B.2
  • 5
    • 0027682286 scopus 로고
    • Image rotation, Wigner rotation, and the fractional Fourier transform
    • A. W. Lohmann, "Image rotation, Wigner rotation, and the fractional Fourier transform," J. Opt. Soc. Am. A 10, 2181-2186 (1993).
    • (1993) J. Opt. Soc. Am. A , vol.10 , pp. 2181-2186
    • Lohmann, A.W.1
  • 6
    • 0028509784 scopus 로고
    • Graded index fibers, Wigner distribution functions and fractional Fourier transform
    • D. Mendlovic, H. M. Ozaktas, and A. W. Lohmann, "Graded index fibers, Wigner distribution functions and fractional Fourier transform," Appl. Opt. 33, 6188-6193 (1994).
    • (1994) Appl. Opt , vol.33 , pp. 6188-6193
    • Mendlovic, D.1    Ozaktas, H.M.2    Lohmann, A.W.3
  • 7
    • 0028496555 scopus 로고
    • Fractional Fourier transforms and optical systems
    • L. M. Bernardo and O. D. D. Soares, "Fractional Fourier transforms and optical systems," Opt. Commun. 110, 517-522 (1994).
    • (1994) Opt. Commun , vol.110 , pp. 517-522
    • Bernardo, L.M.1    Soares, O.D.D.2
  • 8
    • 0027641018 scopus 로고
    • Fourier transforms of fractional order and their optical implementation
    • H. M. Ozaktas and D. Mendlovic, "Fourier transforms of fractional order and their optical implementation," Opt. Commun. 101, 163-169 (1993).
    • (1993) Opt. Commun , vol.101 , pp. 163-169
    • Ozaktas, H.M.1    Mendlovic, D.2
  • 9
    • 0003374341 scopus 로고    scopus 로고
    • Fractional Fourier operators and generalized Wigner functions
    • S. Chountasis, A. Vourdas, and C. Bendjaballah, "Fractional Fourier operators and generalized Wigner functions," Phys. Rev. A 60, 3467-3473 (1999).
    • (1999) Phys. Rev. A , vol.60 , pp. 3467-3473
    • Chountasis, S.1    Vourdas, A.2    Bendjaballah, C.3
  • 11
    • 0037190745 scopus 로고    scopus 로고
    • EPR entangled state and generalized Bargmann transformation
    • H. Y. Fan and J. H. Chen, "EPR entangled state and generalized Bargmann transformation," Phys. Lett. A 303, 311-317 (2002).
    • (2002) Phys. Lett. A , vol.303 , pp. 311-317
    • Fan, H.Y.1    Chen, J.H.2
  • 12
    • 0000348135 scopus 로고
    • Eigenvectors of two particles' relative position and total momentum
    • H. Y. Fan and J. R. Klauder, "Eigenvectors of two particles' relative position and total momentum," Phys. Rev. A 49, 704-707 (1994).
    • (1994) Phys. Rev. A , vol.49 , pp. 704-707
    • Fan, H.Y.1    Klauder, J.R.2
  • 13
    • 0001223176 scopus 로고    scopus 로고
    • Representations of two-mode squeezing transformations
    • H. Y. Fan and Y. Fan, "Representations of two-mode squeezing transformations," Phys. Rev. A 54, 958-960 (1996).
    • (1996) Phys. Rev. A , vol.54 , pp. 958-960
    • Fan, H.Y.1    Fan, Y.2
  • 14
    • 0040404599 scopus 로고
    • Common eigenstates of two particles' center-of-mass coordinates and mass-weighted relative momentum
    • H. Y. Fan and X. Ye, "Common eigenstates of two particles' center-of-mass coordinates and mass-weighted relative momentum," Phys. Rev. A 51, 3343-3346 (1995).
    • (1995) Phys. Rev. A , vol.51 , pp. 3343-3346
    • Fan, H.Y.1    Ye, X.2
  • 15
    • 0042282450 scopus 로고    scopus 로고
    • Operator ordering in quantum optics theory and the development of Dirac's symbolic method
    • H. Y. Fan, "Operator ordering in quantum optics theory and the development of Dirac's symbolic method," J. Opt. B: Quantum Semiclassical Opt. 5, R147-R163 (2003).
    • (2003) J. Opt. B: Quantum Semiclassical Opt , vol.5
    • Fan, H.Y.1
  • 16
    • 0013039393 scopus 로고
    • New approach for calculating the normally ordered form of squeeze operators
    • H. Y. Fan, H. R. Zaidi, and J. R. Klauder, "New approach for calculating the normally ordered form of squeeze operators," Phys. Rev. D 35, 1831-1834 (1987).
    • (1987) Phys. Rev. D , vol.35 , pp. 1831-1834
    • Fan, H.Y.1    Zaidi, H.R.2    Klauder, J.R.3
  • 17
    • 0038351260 scopus 로고    scopus 로고
    • About integration within ordered products in quantum optics
    • A. Wünsche, "About integration within ordered products in quantum optics," J. Opt. B: Quantum Semiclassical Opt. 2, R11-R21 (2000).
    • (2000) J. Opt. B: Quantum Semiclassical Opt , vol.2
    • Wünsche, A.1
  • 18
    • 0003864328 scopus 로고
    • Bateman Manuscript Project, A. Erdèlyi, ed, McGraw-Hill
    • Bateman Manuscript Project, Higher Transcendental Functions, A. Erdèlyi, ed. (McGraw-Hill, 1953).
    • (1953) Higher Transcendental Functions
  • 19
    • 33947385649 scopus 로고
    • Can quantummechanical description of physical reality be considered complete?
    • A. Einstein, B. Podolsky, and N. Rosen, "Can quantummechanical description of physical reality be considered complete?" Phys. Rev. 47, 777-780 (1935).
    • (1935) Phys. Rev , vol.47 , pp. 777-780
    • Einstein, A.1    Podolsky, B.2    Rosen, N.3
  • 20
    • 0242493643 scopus 로고    scopus 로고
    • Fractional Hankel transform studied by chargeamplitude state representations and complex fractional Fourier transformation
    • H. Y. Fan, "Fractional Hankel transform studied by chargeamplitude state representations and complex fractional Fourier transformation," Opt. Lett. 28, 2177-2179 (2003).
    • (2003) Opt. Lett , vol.28 , pp. 2177-2179
    • Fan, H.Y.1
  • 21
  • 22
    • 0342523719 scopus 로고
    • Squeezed states of light
    • D. F. Walls, "Squeezed states of light," Nature 306, 141-146 (1983).
    • (1983) Nature , vol.306 , pp. 141-146
    • Walls, D.F.1
  • 23
    • 24244441257 scopus 로고
    • Two-photon coherent states of the radiation field
    • H. P. Yuen, "Two-photon coherent states of the radiation field," Phys. Rev. A 13, 2226-2243 (1976).
    • (1976) Phys. Rev. A , vol.13 , pp. 2226-2243
    • Yuen, H.P.1
  • 24
    • 0141620772 scopus 로고
    • Squeezed states of light
    • M. C. Teich and B. E. A. Saleh, "Squeezed states of light," Quantum Opt. 1, 153-191 (1989).
    • (1989) Quantum Opt , vol.1 , pp. 153-191
    • Teich, M.C.1    Saleh, B.E.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.