A study of periodic potentials based on quadratic splines
2018 ◽
Vol 29
(08)
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pp. 1850067
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Keyword(s):
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.
Keyword(s):
2005 ◽
Vol 50
(8-9)
◽
pp. 1345-1362
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2015 ◽
Vol 06
(01)
◽
pp. 1450001
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2009 ◽
Vol 238
(6)
◽
pp. 687-698
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