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Volumn 54, Issue 6, 1996, Pages 5378-5385

Displaced squeezed number states: Position space representation, inner product, and some applications

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0000877589     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.54.5378     Document Type: Article
Times cited : (71)

References (37)
  • 1
    • 85037182765 scopus 로고    scopus 로고
    • W. H. Louisell, Quantum Statistical Properties of Radiation Wiley Classics Library (Wiley, New York, 1973)
    • W. H. Louisell, Quantum Statistical Properties of Radiation, Wiley Classics Library (Wiley, New York, 1973).
  • 10
    • 85037197014 scopus 로고    scopus 로고
    • Y. S. Kim and M. E. Noz, Phase Space Picture of Quantum Mechanics. Group Theoretical Approach, Vol. 40 of Lecture Notes in Physics Series (World Scientific, Singapore, 1991)
    • Y. S. Kim and M. E. Noz, Phase Space Picture of Quantum Mechanics. Group Theoretical Approach, Vol. 40 of Lecture Notes in Physics Series (World Scientific, Singapore, 1991).
  • 17
    • 85037178407 scopus 로고    scopus 로고
    • This was also pointed out by Yuen 6
    • This was also pointed out by Yuen 6.
  • 25
    • 5544298863 scopus 로고
    • For instance, the powers of the number operator may be expressed in terms of normally ordered (s=1) Cahill-Glauber products as ((Formula presented)a(Formula presented)=(Formula presented)(Formula presented)(Formula presented)(Formula presented), where the (Formula presented)'s are given by Kelley [C. S. Kelley, Phys. Rev. B 20, 3221 (1979)].
    • (1979) C. S. Kelley, Phys. Rev. B , vol.20 , pp. 3221
  • 27
    • 85037190582 scopus 로고    scopus 로고
    • A. Perelomov, Generalized Coherent States and Their Applications Texts and Monographs in Physics (Springer Verlag, Berlin, 1986)
    • A. Perelomov, Generalized Coherent States and Their Applications, Texts and Monographs in Physics (Springer Verlag, Berlin, 1986).
  • 28
    • 85037177734 scopus 로고    scopus 로고
    • Notice, that (Formula presented) is unaltered by the operation of a unitary element of (Formula presented)
    • Notice, that (Formula presented) is unaltered by the operation of a unitary element of (Formula presented).
  • 31
    • 85037240683 scopus 로고    scopus 로고
    • Apparently there is a misprint in the first line of Table IV of Zhang et al. 26. The term (Formula presented)Βtsinh |Β|/|Β| should be multiplied with cosh |Β| to give the correct moments
    • Apparently there is a misprint in the first line of Table IV of Zhang et al. 26. The term (Formula presented)Βtsinh |Β|/|Β| should be multiplied with cosh |Β| to give the correct moments.
  • 32
    • 85037205417 scopus 로고    scopus 로고
    • To express ((Formula presented)a(Formula presented) in terms of A and (Formula presented) is only practically feasible if k is low as in this case. In general, such a procedure is rather cumbersome
    • To express ((Formula presented)a(Formula presented) in terms of A and (Formula presented) is only practically feasible if k is low as in this case. In general, such a procedure is rather cumbersome.
  • 33
    • 84923199214 scopus 로고
    • In the famous Jaynes-Cummings model, E. T. Jaynes and F. W. Cummings, Proc. IEEE 51, 89 (1963), a two-level atom interacts with a single mode of the quantized radiation field through dipole interaction (for a contemporary review, see also 34).
    • (1963) Proc. IEEE , vol.51 , pp. 89
    • Jaynes, E.T.1    Cummings, F.W.2
  • 36
    • 85037221379 scopus 로고    scopus 로고
    • The power of the CF method rests on the fact that derivatives are easily computed using symbolic manipulation software like, e.g., MAPLE V. In some cases the derivatives can even be evaluated by standard numerical techniques
    • The power of the CF method rests on the fact that derivatives are easily computed using symbolic manipulation software like, e.g., MAPLE V. In some cases the derivatives can even be evaluated by standard numerical techniques.
  • 37
    • 85037189367 scopus 로고    scopus 로고
    • Omitted end note
    • Omitted end note.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.