Explicit summation of the constituent WKB series and new approximate wave functions

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dc.creatorKudryashov, Vladimir V.
dc.creatorVanne, Yulian V.
dc.date2001-02-21
dc.date2003-04-26
dc.date.accessioned2026-07-07T06:01:40Z
dc.date.available2026-07-07T06:01:40Z
dc.descriptionThe independent solutions of the one-dimensional Schrödinger equation are approximated by means of the explicit summation of the leading constituent WKB series. The continuous matching of the particular solutions gives the uniformly valid analytical approximation to the wave functions. A detailed numerical verification of the proposed approximation is performed for some exactly solvable problems arising from different kinds of potentials.
dc.description8 pages, LaTeX, minor changes and stylistic improvements, final version
dc.identifierhttps://arxiv.org/abs/quant-ph/0102111
dc.identifierhttp://arxiv.org/abs/quant-ph/0102111
dc.identifierJ. Appl. Math., vol. 2, no. 6 (2002) 265-275
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/89339
dc.subjectQuantum Physics
dc.subjectMathematical Physics
dc.titleExplicit summation of the constituent WKB series and new approximate wave functions
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