# The variational method applied to the harmonic oscillator in the presence of a delta function potential

@article{Ghose2021TheVM,
title={The variational method applied to the harmonic oscillator in the presence of a delta function potential},
author={Indrajit Ghose and Parongama Sen},
journal={European Journal of Physics},
year={2021},
volume={42}
}
• Published 1 December 2020
• Physics
• European Journal of Physics
The problem of the harmonic oscillator with a centrally located delta function potential can be exactly solved in one dimension, where the eigenfunctions are expressed as superpositions of the Hermite polynomials or as confluent hypergeometric functions in general. The eigenfunctions obtained exactly are difficult to visualise and hence, to gain more insight, one can attempt to use model wave functions which are explicitly and simply expressed. Here, we apply the variational method to verify…
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