Many interacting electrons in a quantum dot
Faculty of Sciences. Physics

conferenceObject

2001
New York
, 2001

Physics

AIP conference proceedings / American Institute of Physics. - New York

International Conference on Density Functional Theory and its, Applications to Materials, JUN 08-10, 2000, ANTWERP, BELGIUM

577(2001)
, p. 117-127

0094-243X

0-7354-0016-4

000171562800008

E

English (eng)

University of Antwerp

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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