Change of Variable as Borel Resummation of Semiclassical Series

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dc.creatorGiller, Stefan
dc.creatorMilczarski, Piotr
dc.date1997-12-18
dc.date1998-07-14
dc.date.accessioned2026-07-07T10:55:02Z
dc.date.available2026-07-07T10:55:02Z
dc.descriptionIt is shown that a change of variable in 1-dim Schroedinger equation applied to the Borel summable fundamental solutions [Giller] is equivalent to Borel resummation of the fundamental solutions multiplied by suitably chosen $\hbar$-dependent constant. This explains why change of variable can improve JWKB formulae [Giller, Milczarski]. It is shown also that a change of variable alone cannot provide us with the exact JWKB formulae.
dc.description7 pages, uses article.sty art11.sty, 1 EPS figure
dc.identifierhttps://arxiv.org/abs/quant-ph/9712039
dc.identifierhttp://arxiv.org/abs/quant-ph/9712039
dc.identifierJ.Phys.A32:955-976,1999
dc.identifierdoi:10.1088/0305-4470/32/6/009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185992
dc.subjectQuantum Physics
dc.titleChange of Variable as Borel Resummation of Semiclassical Series
dc.typetext

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