The one dimensional infinite square well with variable mass
JJ Alvarez, M Gadella, LP Lara - arXiv preprint arXiv:1402.5378, 2014 - arxiv.org
JJ Alvarez, M Gadella, LP Lara
arXiv preprint arXiv:1402.5378, 2014•arxiv.orgWe introduce a numerical method to obtain approximate eigenvalues for some problems of
Sturm-Liouville type. As an application, we consider an infinite square well in one dimension
in which the mass is a function of the position. Two situations are studied, one in which the
mass is a differentiable function of the position depending on a parameter $ b $. In the
second one the mass is constant except for a discontinuity at some point. When the
parameter $ b $ goes to infinity, the function of the mass converges to the situation described …
Sturm-Liouville type. As an application, we consider an infinite square well in one dimension
in which the mass is a function of the position. Two situations are studied, one in which the
mass is a differentiable function of the position depending on a parameter $ b $. In the
second one the mass is constant except for a discontinuity at some point. When the
parameter $ b $ goes to infinity, the function of the mass converges to the situation described …
We introduce a numerical method to obtain approximate eigenvalues for some problems of Sturm-Liouville type. As an application, we consider an infinite square well in one dimension in which the mass is a function of the position. Two situations are studied, one in which the mass is a differentiable function of the position depending on a parameter . In the second one the mass is constant except for a discontinuity at some point. When the parameter goes to infinity, the function of the mass converges to the situation described in the second case. One shows that the energy levels vary very slowly with and that in the limit as goes to infinity, we recover the energy levels for the second situation.
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