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The spiked harmonic oscillatorV(r)=r 2+λr −4 as a challenge to perturbation theory (1991)

Flynn, M. F. ; Guardiola, R. ; Znojil, M.

Springer

Czechoslovak journal of physics 41 (1991), S. 1019-1029

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Details

ISSN: 1572-9486

Quelle: Springer Online Journal Archives 1860-2000

Thema: Physik

Notizen: Abstract The standard weak- and strong-coupling perturbation series are interpreted as extreme special cases of expansions obtainable within the framework of Rayleigh-Schroedinger perturbation theory with non-diagonal propagators and unspecified zero-order energies. The formalism of the latter type is then tested by our strongly singular example. It proves suitable for applications in the domain of virtually arbitrary couplings. A few related technicalities and especially the quadruple problem of convergence are also discussed.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF01598976

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