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arXiv · 1701.08934

The variational-relaxation algorithm for finding quantum bound states

Daniel V. Schroeder
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Abstract

I describe a simple algorithm for numerically finding the ground state and low-lying excited states of a quantum system. The algorithm is an adaptation of the relaxation method for solving Poisson's equation, and is fundamentally based on the variational principle. It is especially useful for two-dimensional systems with nonseparable potentials, for which simpler techniques are inapplicable yet the computation time is minimal.

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Daniel V. Schroeder. 2017-07-19. The variational-relaxation algorithm for finding quantum bound states. https://doi.org/10.1119/1.4997165

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