On the solution of Hill's equation using Milne's method

DOI10.1088/0305-4470/24/9/017zbMath0761.34024OpenAlexW2049995308MaRDI QIDQ3978203

Hans Jürgen Korsch, Frank Bensch, J. A. Núñez

Publication date: 25 June 1992

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/24/9/017

zbMATH Keywords

periodic solutionsMilne equationHill equationefficient numerical computation of the band edgesone-dimensional periodic Schrödinger equationparameter dependence of the stability bands

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Nonlinear ordinary differential operators (34L30)

Related Items (1)

An algebraic formulation of quantum mechanics in fractional dimensions

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