A regularized semiclassical approximation for quantum mechanics
type: Item
instance of: scholarly article
title: A regularized semiclassical approximation for quantum mechanics
zbMATH Open document ID: 1029.81033
author: V. V. Samarin
author: S. M. Samarina
published in: Computational Mathematics and Mathematical Physics
publication date: 2003-07-01T00:00:00Z
review text: In this paper the authors obtain regular semiclassical representations for wave functions in one-dimensional and centrally symmetric potentials with one or two turning points. The interpolated wave functions have logarithmic derivatives equal to the logarithmic derivatives of the exact solutions in the neigborhoods of the turning points. Approximations in terms of the elementary functions are obtained for the Airy functions.
Mathematics Subject Classification ID: 81Q20
Mathematics Subject Classification ID: 34E20
Mathematics Subject Classification ID: 81Q05
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 33C10
zbMATH DE Number: 1940636
zbMATH Keywords: wave functions
zbMATH Keywords: Schrödinger equation
zbMATH Keywords: semiclassical approximation
zbMATH Keywords: potenial energy
zbMATH Keywords: turning point
zbMATH Keywords: regularization
zbMATH Keywords: solution
zbMATH Keywords: turning points
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1940636