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arXiv · 1602.07299

Improved power-series method for confined one-dimensional quantum-mechanical problems

Francisco M. Fernández
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Abstract

We propose two improvements to the well-known power series method for confined one-dimensional quantum-mechanical problems. They consist of the addition of a variational step were the energy plays the role of a variational parameter. We compare the rate of convergence of the three methods on an exactly-solvable model. We also outline possible generalizations of the approaches to more complex problems.

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Francisco M. Fernández. 2016-02-23. Improved power-series method for confined one-dimensional quantum-mechanical problems. https://arxiv.org/abs/1602.07299

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