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Volumn 38, Issue 3, 1988, Pages 1177-1186

Area of overlap and interference in phase space versus Wigner pseudoprobabilities

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EID: 24544456897     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.38.1177     Document Type: Article
Times cited : (142)

References (55)
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    • 84926863523 scopus 로고    scopus 로고
    • For the central role of the double-slit experiment in quantum mechanics, see, for example, R. P. Feynman, R. B. Leighton, and M. Sands, The Feynman Lectures on Physics (Addison-Wesley, Reading, MA, 1964), Vol. 3; or the famous Bohr-Einstein dialogue, reprinted and commented on in J. A. Wheeler and W. H. Zurek, Quantum Theory and Measurement (Princeton University Press, Princeton, 1983).
  • 2
    • 84926798140 scopus 로고    scopus 로고
    • The importance of probability amplitudes rather than probabilities is emphasized in the path-integral formulation of quantum mechanics. See, for example, R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals (McGraw-Hill, New York, 1965); L. S. Schulman, Techniques and Applications of Path Integration (Wiley, New York, 1981).
  • 4
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    • W. Pauli, in Die allgemeinen Prinzipien der Wellenmechanik, Vol. 24 of Handbuch der Physik, edited by H. Geiger and K. Scheel (Springer, Berlin, 1933);
  • 6
    • 84926819761 scopus 로고    scopus 로고
    • See, for example, M. Born, Vorlesungen über Atommechanik, in Struktur der Materie in Einzeldarstellungen, edited by M. Born and J. Franck (Springer, Berlin, 1925); R. L. Liboff, Phys. Today 37 (2), 50 (1984).
  • 13
    • 84926841769 scopus 로고    scopus 로고
    • The various distribution functions in phase space are reviewed by L. Cohen, in Frontiers of Nonequilibrium Statistical Physics, edited by G. Moore and M. O. Scully (Plenum, New York, 1986).
  • 14
    • 0342523719 scopus 로고
    • For a review on squeezed states see, for example
    • (1983) Nature , vol.306 , pp. 141
    • Walls, D.F.1
  • 17
    • 84926855412 scopus 로고
    • the special issues on squeezed states in
    • see also the special issues on squeezed states in J. Opt. Soc. Am. B 4, No. 10 (1987);
    • (1987) J. Opt. Soc. Am. B , vol.4 , Issue.10
  • 18
    • 84926863522 scopus 로고
    • J. Mod. Opt. 34, No. 6 (1987).
    • (1987) J. Mod. Opt. , vol.34 , Issue.6
  • 19
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    • The notion of a nonclassical state and nonclassical distance is advocated, for example, by
    • (1985) Phys. Lett. A , vol.111 , pp. 409
    • Hillery, M.1
  • 22
    • 84926863521 scopus 로고    scopus 로고
    • See, for example, W. H. Louisell, Quantum Statistical Properties of Radiation (Wiley, New York, 1973); or M. Sargent, M. O. Scully, and W. E. Lamb, Jr., Laser Physics (Addison-Wesley, Reading, MA, 1974).
  • 29
    • 84944486510 scopus 로고
    • The Design of Radar Signals Having Both High Range Resolution and High Velocity Resolution
    • For a nice presentation of the Wigner function of the harmonic oscillator see, for example
    • (1960) Bell System Technical Journal , vol.39 , pp. 809
    • Klauder, J.R.1
  • 31
    • 0001329158 scopus 로고
    • For the sake of simplicity we confine our discussion to minimum uncertainty squeezed states, such as that discussed in
    • (1970) Phys. Rev. D , vol.1 , pp. 3217
    • Stoler, D.1
  • 34
  • 35
    • 84926819759 scopus 로고    scopus 로고
    • 459 (1915);
  • 45
    • 84926819758 scopus 로고    scopus 로고
    • The semiclassical limit of the Wigner function has been considered in a multitude of publications;
  • 50
    • 84926798138 scopus 로고    scopus 로고
    • It has been pointed out frequently that for most cases the Wigner function in the semiclassical limit can be expressed by an appropriately normalized delta function located at the Bohr-Sommerfeld phase-space trajectory, Eq. (3.1). For insight into when and why, see, especially, J. P. Dahl, in Energy Storage and Redistribution in Molecules, edited by J. Hinze (Plenum, New York, 1983);


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.