Title
Many interacting electrons in a quantum dot
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
conferenceObject
Publication
New York ,
Subject
Physics
Source (journal)
AIP conference proceedings / American Institute of Physics. - New York
Source (book)
International Conference on Density Functional Theory and its, Applications to Materials, JUN 08-10, 2000, ANTWERP, BELGIUM
Volume/pages
577(2001) , p. 117-127
ISSN
0094-243X
ISBN
0-7354-0016-4
ISI
000171562800008
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
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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