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arXiv · 2106.10231

Variational approach to the Schr\"odinger equation with a delta-function potential

Francisco M. Fernández
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Abstract

We obtain accurate eigenvalues of the one-dimensional Schr\"odinger equation with a Hamiltonian of the form $H_{g}=H+g\delta (x)$, where $\delta (x)$ is the Dirac delta function. We show that the well known Rayleigh-Ritz variational method is a suitable approach provided that the basis set takes into account the effect of the Dirac delta on the wavefunction.

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Francisco M. Fernández. 2021-06-17. Variational approach to the Schr\"odinger equation with a delta-function potential. https://arxiv.org/abs/2106.10231

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