Sponsor
This work was supported in part by the Oregon High Technology/Education Consortium, and by the California Microelectronics Innovation and Computer Research Opportunities (MICRO) Program.
Published In
Physical Review A
Document Type
Article
Publication Date
11-1-1984
Subjects
Linear differential equations, Mathematical analysis, Hill's equation -- Solution
Abstract
A second-order linear differential equation with continuous periodic coefficients is solved exactly in terms of elementary functions. Equations of this type arise commonly in several areas of physics, and the solutions may find practical applications. As an illustration, the results are applied to the problem of an electron in a one-dimensional periodic potential.
Persistent Identifier
http://archives.pdx.edu/ds/psu/8151
Citation Details
Casperson, L. W. (1984). Solvable Hill equation. Physical Review A (General Physics), 30 (5), 2749-2751.
Description
This is the publisher's final PDF. Article appears in Physical Review A (http://pra.aps.org/) and is copyrighted by APS Journals (http://publish.aps.org/). The Errata was published in 1985 volume 31 (4), 2743.