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Volumn 42, Issue 10, 2001, Pages 4653-4668

Continuum quantum systems as limits of discrete quantum systems. III. Operators

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Indexed keywords


EID: 0035539611     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1398582     Document Type: Article
Times cited : (11)

References (15)
  • 1
    • 77958407025 scopus 로고
    • The fractional order fourier transform and its applications to quantum mechanics
    • V. Namias, "The fractional order Fourier transform and its applications to quantum mechanics," J. Inst. Math. Appl. 25, 214-265 (1980).
    • (1980) J. Inst. Math. Appl. , vol.25 , pp. 214-265
    • Namias, V.1
  • 2
    • 0000678867 scopus 로고    scopus 로고
    • Fractional Fourier-Kravchuk transform
    • N. M. Atakishiyev and K. B. Wolf, "Fractional Fourier-Kravchuk transform," J. Opt. Soc. Am. 14, 1467-1477 (1997).
    • (1997) J. Opt. Soc. Am. , vol.14 , pp. 1467-1477
    • Atakishiyev, N.M.1    Wolf, K.B.2
  • 3
    • 0031190361 scopus 로고    scopus 로고
    • Improved discrete fractional Fourier transform
    • S-C. Pei and M-H. Yeh, "Improved discrete fractional Fourier transform," Opt. Lett. 22, 1047-1049 (1997).
    • (1997) Opt. Lett. , vol.22 , pp. 1047-1049
    • Pei, S.-C.1    Yeh, M.-H.2
  • 6
    • 0035922967 scopus 로고    scopus 로고
    • Continuum quantum systems as limits of discrete quantum systems, I: State vectors
    • to appear
    • L. Barker, "Continuum quantum systems as limits of discrete quantum systems, I: state vectors," J. Funct. Anal, (to appear).
    • J. Funct. Anal
    • Barker, L.1
  • 7
    • 0035827483 scopus 로고    scopus 로고
    • Continuum quantum systems as limits of discrete quantum systems, II: State functions
    • L. Barker, "Continuum quantum systems as limits of discrete quantum systems, II: state functions," J. Phys. A 22, 4673-4682 (2001).
    • (2001) J. Phys. A , vol.22 , pp. 4673-4682
    • Barker, L.1
  • 10
    • 0003647396 scopus 로고
    • Teubner, Stuttgart, English edition by Springer, Berlin
    • J. Weidmann, Linear Operators in Hubert Spaces (Teubner, Stuttgart, 1976; English edition by Springer, Berlin, 1980).
    • (1976) Linear Operators in Hubert Spaces
    • Weidmann, J.1
  • 11
    • 0034708297 scopus 로고    scopus 로고
    • The discrete harmonic oscillator, Harper's equation, and the discrete fractional Fourier transform
    • L. Barker, Ç. Candan. T. Hakioǧlu, A. Kutay, and H. M. Ozaktas, "The discrete harmonic oscillator, Harper's equation, and the discrete fractional Fourier transform," J. Phys. A 33, 2209-2222 (2000).
    • (2000) J. Phys. A , vol.33 , pp. 2209-2222
    • Barker, L.1    Candan, Ç.2    Hakioǧlu, T.3    Kutay, A.4    Ozaktas, H.M.5
  • 12
    • 85031482290 scopus 로고    scopus 로고
    • The discrete fractional Fourier transform and Harper's equation
    • to appear
    • L. Barker, "The discrete fractional Fourier transform and Harper's equation," Mathematika (to appear).
    • Mathematika
    • Barker, L.1
  • 13
    • 28244490244 scopus 로고
    • Single band motion of conduction electrons in a uniform magnetic field
    • P G. Harper, "Single band motion of conduction electrons in a uniform magnetic field," Proc. Phys. Soc. 68, 874-878 (1955).
    • (1955) Proc. Phys. Soc. , vol.68 , pp. 874-878
    • Harper, P.G.1
  • 14
    • 0002469098 scopus 로고
    • Difference analogues of the harmonic oscillator
    • N. M. Atakishiev and S. K. Suslov, "Difference analogues of the harmonic oscillator (English translation)," Teor. Mat. Fiz. 85, 64-73 (1990).
    • (1990) Teor. Mat. Fiz. , vol.85 , pp. 64-73
    • Atakishiev, N.M.1    Suslov, S.K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.