Title 



Many interacting electrons in a quantum dot
 
Author 



 
Abstract 



The propagator of N interacting identical particles in d spatial dimensions can be written as a FeynmanKac functional over a symmetrized process, i.e. as a Euclideantime path integral over the diffusion process of N identical free particles with superimposed potentialdependent exponential weights. Recently a manybody diffusion formalism ["MBDF"] was developed, which allows, for coordinatesymmetric potentials and for certain irreducible symmetry representations, to separate the total propagator into a sum of stochastically independent subpropagators. 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.   
Language 



English
 
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 0810, 2000, ANTWERP, BELGIUM  
Publication 



New York : 2001
 
ISBN 



0735400164
 
Volume/pages 



577(2001), p. 117127
 
ISI 



000171562800008
 
Full text (Publisher's DOI) 


  
