Divergence-free WKB method

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dc.creatorHyouguchi, Tadanori
dc.creatorAdachi, Satoshi
dc.creatorUeda, Masahito
dc.date2000-11-22
dc.date.accessioned2026-07-07T02:39:24Z
dc.date.available2026-07-07T02:39:24Z
dc.descriptionA new semiclassical approach to linear (L) and nonlinear (NL) one-dimensional Schrödinger equation (SE) is presented. Unlike the usual WKB solution, our solution does not diverge at the classical turning point. For LSE, our zeroth-order solution, when expanded in powers of \hbar, agrees with the usual WKB solution. For NLSE, our zeroth-order solution includes quantum corrections to the Thomas-Fermi solution, thereby giving a smoothly decaying wave function into the forbidden region.
dc.description7pages 5figures revtex
dc.identifierhttps://arxiv.org/abs/cond-mat/0011374
dc.identifierhttp://arxiv.org/abs/cond-mat/0011374
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/17047
dc.subjectCondensed Matter
dc.titleDivergence-free WKB method
dc.typetext

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