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A solution to the quantum mechanical three-body problem with neural networks

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Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2022, Tutors: Vincent Mathieu, Arnau Rios

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We study how a one-layer Artificial Neural Network performs when applied to a quantum three-body problem with a central potential. We use the harmonic oscillator as a benchmark to test how the neural network solution performs upon changing parameters. With the best combination of these, we managed to get the ground state energy with a relative error of 0.03 % with respect to the analytical one, and a wave function with an overlap of the 99.996 % with the analytical solution

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A solution to the quantum mechanical three-body problem with neural networks