A study of periodic potentials based on quadratic splines

M. Gadella and L. P. Lara ()
Additional contact information
M. Gadella: Departamento de Física Teórica, Atómica y Optica and IMUVA, Universidad de Valladolid, Valladolid 47011, Spain
L. P. Lara: #x2020;Universidad Nacional de Rosario and IFIR, Rosario S2000CG, Argentina

International Journal of Modern Physics C (IJMPC), 2018, vol. 29, issue 08, 1-18

Abstract: In this paper, we discuss a method based on a segmentary approximation of solutions of the Schrödinger equation by quadratic splines, for which the coefficients are determined by a variational method that does not require the resolution of complicated algebraic equations. The idea is the application of the method to one-dimensional periodic potentials. We include the determination of the eigenvalues up to a given level, and therefore an approximation to the lowest energy bands. We apply the method to concrete examples with interest in physics and discussed the numerical errors.

Keywords: Quadratic splines; one dimensional quantum periodic potentials; eigenvalues and energy bands deterimination (search for similar items in EconPapers)
Date: 2018
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183118500675
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:29:y:2018:i:08:n:s0129183118500675

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183118500675

Access Statistics for this article

International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann

More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().