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Physical Review A
Volumn 41, Issue 7, 1990, Pages 3427-3435
Quantum theory of rotation angles
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[No Author keywords available]
Indexed keywords

EID: 0007965105     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.41.3427     Document Type: Article
Times cited : (160)
References (32)
  • 13
    • 84926844906 scopus 로고    scopus 로고
    • E. Merzbacher, Quantum Mechanics, 2nd ed. (Wiley, New York, 1970), p. 296.
  • 17
    • 84926866614 scopus 로고    scopus 로고
    • See also the work of Susskind and Glogower (Ref. 2).
  • 18
    • 84926844905 scopus 로고    scopus 로고
    • We have discussed the properties of classical single-valued angles elsewhere in the context of quantum optical phase (Ref. 8).
  • 20
    • 84926866613 scopus 로고    scopus 로고
    • If m+n > l, for example, then consistency in representing the zero angle state by a constant cm requires that, if this state is an eigenvalue of φ hat, the state labeled | m + n rangle must be one of the eigenstates of L hatz. We see in Sec. IV that it is indeed just the state | m +n-2l-1 rangle.
  • 21
    • 84926844904 scopus 로고    scopus 로고
    • R. Loudon, The Quantum Theory of Light, 1st ed. (Oxford University Press, Oxford, 1973), p. 143.
  • 22
    • 84926844703 scopus 로고    scopus 로고
    • This is simply a statement of the fact that physical systems rotate with finite angular velocity. We have used a similar criterion to delineate the physical states of the harmonic oscillator or single-mode electromagnetic field (Refs. 6 – 8).
  • 23
    • 84926844702 scopus 로고    scopus 로고
    • We have given a parallel and detailed discussion of the classical Poisson bracket for a single-valued phase elsewhere (Ref. 8).
  • 24
    • 84926844701 scopus 로고    scopus 로고
    • These operators have also been discussed by D. Elinas (private communication).
  • 25
    • 84926822926 scopus 로고    scopus 로고
    • States such as these have been discussed previously in relation to infinite-state-space phase and angle operators (Refs. 3 and 4).
  • 28
    • 84926844700 scopus 로고    scopus 로고
    • We follow the notation of Arrechi et al. (Ref. 24).
  • 29
    • 84926866612 scopus 로고    scopus 로고
    • This restiction on tau ensures that the probability amplitudes for the states | +- j rangle are small.
  • 30
    • 84926844699 scopus 로고    scopus 로고
    • We have employed a similar approximation in describing the phase properties of the coherent states of the single-mode electromagnetic field (Ref. 7).

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.