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- W2034943578 abstract "Analytic semiclassical energy expansions of the anharmonic oscillator V(x) = x 2N + bx 2 are obtained for arbitrary N. These expressions contain the parameters b and N of the potential explicitly. Analytic expressions for energy level spacing are obtained and used to study the behavior of the eigenenergy level spacing for large energies. These expressions show that asymptotic energy level spacing of the potential V(x) = x 2N + bx 2 increases with the coupling strength b for N = 2 and 3, whereas it decreases for N > 3. Validity of the asymptotic expansions for noninteger N is discussed. PACS Nos.: 03.65Ge, 03.65Sq, 02.30Mv" @default.
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- W2034943578 date "2002-09-01" @default.
- W2034943578 modified "2023-09-27" @default.
- W2034943578 title "Asymptotic behavior of the eigenenergies of anharmonic oscillators V(x) = x2N + bx2" @default.
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- W2034943578 doi "https://doi.org/10.1139/p02-029" @default.
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