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Volumn 59, Issue 2, 1999, Pages R911-R914

Weyl series and the trace formula: A prescription for adding them

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EID: 0007032487     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.59.R911     Document Type: Article
Times cited : (6)

References (25)
  • 1
    • 0001397592 scopus 로고
    • Chaos in Classical and Quantum Mechanics (Springer-Verlag, New York, 1990)
    • M. C. Gutzwiller, J. Math. Phys. 12, 343 (1971);Chaos in Classical and Quantum Mechanics (Springer-Verlag, New York, 1990).
    • (1971) J. Math. Phys. , vol.12 , pp. 343
    • Gutzwiller, M.C.1
  • 3
    • 0347462049 scopus 로고
    • Ann. Phys. (N.Y.)R. BalianC. Bloch63, 592 (1971).
    • (1971) , vol.63 , pp. 592
    • Balian, R.1    Bloch, C.2
  • 5
    • 0011614827 scopus 로고
    • Ann. Phys. (N.Y.)R. BalianC. Bloch85, 514 (1974).
    • (1974) , vol.85 , pp. 514
    • Balian, R.1    Bloch, C.2
  • 15
    • 85037210970 scopus 로고    scopus 로고
    • J. Ecalle, Les Fonctions Résurgentes (Publ. Math. Univ. Paris–Sud, Orsay, 1981)
    • J. Ecalle, Les Fonctions Résurgentes (Publ. Math. Univ. Paris–Sud, Orsay, 1981).
  • 19
    • 85037212681 scopus 로고    scopus 로고
    • See, e.g., A. Bohr and B. R. Mottelson, Nuclear Structure I (W. A. Benjamin, New York, 1969), pp. 281–285
    • See, e.g., A. Bohr and B. R. Mottelson, Nuclear Structure I (W. A. Benjamin, New York, 1969), pp. 281–285.
  • 22
    • 85037219292 scopus 로고    scopus 로고
    • Equations (9) and (10) can also be found by expressing the integral (8) through hypergeometric functions (Formula presented) using Eqs. 3.952.7,8 in I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Academic Press, New York, 1965), and using their asymptotic expansions for (Formula presented) and (Formula presented) (see Ref
    • Equations (9) and (10) can also be found by expressing the integral (8) through hypergeometric functions (Formula presented) using Eqs. 3.952.7,8 in I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Academic Press, New York, 1965), and using their asymptotic expansions for (Formula presented) and (Formula presented) (see Ref. 10, pp. 33, 34).
  • 23
    • 85037236567 scopus 로고    scopus 로고
    • Explicitly, Eq. (10) is multiplied by the asymptotic series (Formula presented) (see Ref
    • Explicitly, Eq. (10) is multiplied by the asymptotic series (Formula presented) (see Ref. 7 for details).


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