2026-05-05T18:41:39Zhttps://uvadoc.uva.es/oai/request
oai:uvadoc.uva.es:10324/335842021-06-24T07:21:24Zcom_10324_22154com_10324_954com_10324_894col_10324_22155
A study of periodic potentials based on quadratic splines Gadella Urquiza, Manuel Lara, Luis Producción Científica 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. 2018-12-19 2018 info:eu-repo/semantics/article International Journal of Modern Physics C, 2018, vol. 29, n. 8, 1850067 0129-1831 http://uvadoc.uva.es/handle/10324/33584 10.1142/S0129183118500675 eng https://www.worldscientific.com/doi/10.1142/S0129183118500675 info:eu-repo/semantics/openAccess © 2018 World Scientific Publishing World Scientific Publishing