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- W2029132394 abstract "The one-dimensional Schrödinger equation is considered on the segment [−l,l] It is assumed that the potential v(x) of this equation has one minimum v(0)=v′(0)=0, v″(0)>0 v(x)>0 for x≠0; v(x)⩾h>0 outside some neighborhood of zero. It is proved that there exists a solution of the form where is a parabolic cylinder function, and ψ is a smooth function which is bounded on [−l,l] together with derivatives through third order by a constant not depending on ħ. The function ψ and the real number E admit a known asymptotic expansion as ħ→0." @default.
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- W2029132394 date "1986-01-01" @default.
- W2029132394 modified "2023-09-27" @default.
- W2029132394 title "Schr�dinger equation. The theorem concerning the ansatz representation of a solution concentrated in a neighborhood of a minimum of the potential" @default.
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- W2029132394 doi "https://doi.org/10.1007/bf01084158" @default.
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