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Volumn 75, Issue 15, 1995, Pages 2787-2791

Convergent strong-coupling expansions from divergent weak-coupling perturbation theory

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EID: 4243476018     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.75.2787     Document Type: Article
Times cited : (173)

References (35)
  • 3
    • 0001744604 scopus 로고
    • Effective classical partition functions
    • See also the independent development by, 55, 912, R. Giachetti, V. Tognetti, Phys. Rev. Lett.
    • (1985) Physical Review A , vol.34 , pp. 5080
    • Feynman, R.P.1    Kleinert, H.2
  • 6
    • 3843095136 scopus 로고
    • The variational perturbation theory was developed for path integrals in
    • (1993) Phys. Lett. A , vol.173 , pp. 332
    • Kleinert, H.1
  • 7
    • 38149144644 scopus 로고
    • Variational calculation of effective classical potential at T≠0 to higher orders
    • For energy eigenvalues, related expansions have been proposed by, 20, 1398, R. Seznec, J. Zinn-Justin, J. Math. Phys.
    • (1979) Physics Letters A , vol.184 , pp. 319
    • Kleinert, H.1    Meyer, H.2
  • 23
    • 84931518448 scopus 로고    scopus 로고
    • University of Genoa Report No. hep-th/9407037, 1995;, Imperial College London Report No. hep-th/9502386, 1995. These proofs do not, however, account for the exponentially fast convergence at strong couplings found in the present work (for this see note added in proof).
    • Guida, R.1    Konishi, K.2    Suzuki, H.3    Arvanitis, C.4    Jones, H.F.5    Parker, C.S.6
  • 25
    • 84931518450 scopus 로고    scopus 로고
    • The N dependence of the variational parameter ΩN is crucial for the convergence of the approximations.
  • 29
    • 51649135118 scopus 로고
    • Strong-coupling expansion for the anharomonic oscillators −d2/dx 2+x 2+λx 2N
    • See also the earlier less accurate results by, 29, 2053, A. V. Turbiner, A. G. Ushveridze, J. Math. Phys.
    • (1988) Il Nuovo Cimento B , vol.107 , pp. 713
    • Guardiola, R.1    Solís, M.A.2    Ros, J.3
  • 33
    • 84931518455 scopus 로고    scopus 로고
    • “Decaying Systems and the Divergence of Perturbation Series,” Novosibirsk report, 1964, in Russian (unpublished);
    • Vainshtein, A.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.