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• W3197647146 abstract "Abstract It is well known that quantum-mechanical perturbation theory often gives rise to divergent series that require proper resummation. Here I discuss simple ways in which these divergences can be avoided in the first place. Using the elementary technique of relaxed fixed-point iteration, I obtain convergent expressions for various challenging ground-states wave functions, including quartic, sextic and octic anharmonic oscillators, the hydrogenic Zeeman problem, and the Herbst-Simon Hamiltonian (with finite energy but vanishing Rayleigh-Schrödinger coefficients), all at arbitarily strong coupling. These results challenge the notion that non-analytic functions of coupling constants are intrinsically “non-perturbative”. A possible application to exact diagonalization is briefly discussed." @default.
• W3197647146 created "2021-09-13" @default.
• W3197647146 creator A5072262870 @default.
• W3197647146 date "2022-11-01" @default.
• W3197647146 modified "2023-09-26" @default.
• W3197647146 title "Perturbation theory without power series: Iterative construction of non-analytic operator spectra" @default.
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• W3197647146 doi "https://doi.org/10.1209/0295-5075/ac9e72" @default.
• W3197647146 hasPublicationYear "2022" @default.
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