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- W2104892640 abstract "High-precision methods are developed to evaluate eigenvalues for all states |m, N⦔ of thex2manharmonic oscillators withmfrom 2 to 6, for all values of the anharmonicity parameter. There are three basic steps: rescaling to introduce a length scale natural to the problem; use of fifth-order JWKB to generate an accurate starting estimate of the rescaled energy; and shifted (resolvent-based) Lanczos algorithm to sharpen the initial JWKB estimate. JWKB itself gives 33-figure accuracy forNgreater than 1500 (form=2) to 3500 (form=6). With the JWKB starting energy, the shifted Lanczos algorithm converges to 33 figures in 3 iterations or less for all states. These methods are used in a study of the systematics of anharmonic-oscillator spectra and of the physical effects of the rescaling transformation." @default.
- W2104892640 created "2016-06-24" @default.
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- W2104892640 date "1999-02-01" @default.
- W2104892640 modified "2023-10-18" @default.
- W2104892640 title "A High-Precision Study of Anharmonic-Oscillator Spectra" @default.
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- W2104892640 doi "https://doi.org/10.1006/aphy.1998.5854" @default.
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