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Title
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Many interacting electrons in a quantum dot
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Author
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Abstract
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| The propagator of N interacting identical particles in d spatial dimensions can be written as a Feynman-Kac functional over a symmetrized process, i.e. as a Euclidean-time path integral over the diffusion process of N identical free particles with superimposed potential-dependent exponential weights. Recently a many-body diffusion formalism ["MBDF"] was developed, which allows, for coordinate-symmetric potentials and for certain irreducible symmetry representations, to separate the total propagator into a sum of stochastically independent sub-propagators. This method was applied to calculate "numerically exactly" the ground state energy for electrons in a parabolic confinement. In particular the example of a 2D closed shell system with six, twelve and twenty unpolarised interacting electrons in a quantum dot with parabolic confinement was treated. The results obtained by the MBDF method axe compared with earlier theoretical approximations for this system. |
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Language
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English
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Source (journal)
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AIP conference proceedings / American Institute of Physics. - New York
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Source (book)
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International Conference on Density Functional Theory and its, Applications to Materials, JUN 08-10, 2000, ANTWERP, BELGIUM
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Publication
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New York
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2001
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ISBN
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0-7354-0016-4
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DOI
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10.1063/1.1390182
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Volume/pages
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577
(2001)
, p. 117-127
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ISI
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000171562800008
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Full text (Publisher's DOI)
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