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• W1412345385 abstract "Solving the time-dependent Schrödinger equation for nuclear motion remains a challenge. Despite novel approaches based on Bohmian mechanics, the long-time stability and generalization to multiple dimensions remains an open question. In the present work a method based on an ensemble of classical particles instead of a wave function is employed to evolve the system. Quantum effects are introduced through forces derived from the quantum potential Q and the necessary derivatives are obtained from a density estimate using kernel density estimation. Application of the procedure to typical 1- and 2-dimensional problems yields good agreement with numerically exact solutions and favourable scaling with the number of particles is found." @default.
• W1412345385 created "2016-06-24" @default.
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• W1412345385 date "2015-10-01" @default.
• W1412345385 modified "2023-09-26" @default.
• W1412345385 title "Kernel density estimation-based solution of the nuclear Schrödinger equation" @default.
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• W1412345385 doi "https://doi.org/10.1016/j.cplett.2015.08.048" @default.
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