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Volumn 59, Issue 4, 1999, Pages 3136-3137

Comment on “Single two-level ion in an anharmonic oscillator trap: Time evolution of the Q function and population inversion”

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EID: 0343300807     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.59.3136     Document Type: Article
Times cited : (9)

References (17)
  • 13
    • 0000769597 scopus 로고
    • M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. I: Functional Analysis (Academic, New York, 1972), p. 201
    • If (Formula presented) is an operator on a Banach space (Formula presented) in (Formula presented) is an analytic vector of (Formula presented) if the series expansion of (Formula presented) has a positive radius of absolute convergence; i.e., if (Formula presented) for some finite (Formula presented) See, for example, E. Nelson, Ann. Math. 70, 572 (1959);M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. I: Functional Analysis (Academic, New York, 1972), p. 201.
    • (1959) Ann. Math. , vol.70 , pp. 572
    • Nelson, E.1
  • 14
    • 85037204670 scopus 로고    scopus 로고
    • An alternating series (Formula presented) in which each (Formula presented) is positive, converges if (1) (Formula presented) for every value of n and (2) (Formula presented)
    • An alternating series (Formula presented) in which each (Formula presented) is positive, converges if (1) (Formula presented) for every value of n and (2) (Formula presented)
  • 15
    • 85037244050 scopus 로고    scopus 로고
    • An operator (Formula presented) is self-adjoint if it is Hermitian and (Formula presented) where (Formula presented) and (Formula presented) denote the dense domains of the operators (Formula presented) and (Formula presented) respectively. Only self-adjoint operators may be exponentiated to give unitary operators. For precise definitions and details, see M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. I: Functional Analysis (Ref
    • An operator (Formula presented) is self-adjoint if it is Hermitian and (Formula presented) where (Formula presented) and (Formula presented) denote the dense domains of the operators (Formula presented) and (Formula presented) respectively. Only self-adjoint operators may be exponentiated to give unitary operators. For precise definitions and details, see M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. I: Functional Analysis (Ref. 13), p. 255.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.