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Kernel density estimation-based solution of the nuclear Schrodinger equation

Unke, Oliver Thorsten and Meuwly, Markus. (2015) Kernel density estimation-based solution of the nuclear Schrodinger equation. Chemical Physics Letters, 639. pp. 52-56.

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Official URL: http://edoc.unibas.ch/41805/

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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.
Faculties and Departments:05 Faculty of Science > Departement Chemie > Chemie > Physikalische Chemie (Meuwly)
UniBasel Contributors:Meuwly, Markus
Item Type:Article, refereed
Publisher:Elsevier B.V.
ISSN:0009-2614
Note:Publication type according to Uni Basel Research Database: Journal article
Identification Number:
Last Modified:30 Jun 2016 11:02
Deposited On:25 Apr 2016 11:01

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