Geodesic
Hartree-fock approximation for the problem of particle storage in deformed nanolayer
Nanosistemy: fizika, himiâ, matematika, Tome 4 (2013) no. 4, pp. 559-563.

Voir la notice de l'article provenant de la source Math-Net.Ru

The paper deals with the problem of quantum particle storage in a nanolayered structures. The system of a few electrons interacting via a $\delta$- potential is considered. The particles are placed into a two-dimensional deformed waveguide. From a mathematical point of view, the bound state of the system means that the corresponding Hamiltonian will have eigenvalues. To treat a multi-particle problem, the Hartree-Fock approach and the finite element method are used. Three different types of the perturbation are considered: deformation of the layer boundary, a small window in a wall between two layers and a bent layer. The systems of 2–10 particles with various total spins are studied. The dependence of the minimal deformation parameter, which keeps bound state on the number of particles, is given. Comparison of the storage efficiencies in those cases is made.
Keywords: discrete spectrum, multi-particle problem, waveguide. 
@article{NANO_2013_4_4_a14,
     author = {I. F. Melikhov and I. Yu. Popov},
     title = {Hartree-fock approximation for the problem of particle storage in deformed nanolayer},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
     pages = {559--563},
     publisher = {mathdoc},
     volume = {4},
     number = {4},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2013_4_4_a14/}
}
TY  - JOUR
AU  - I. F. Melikhov
AU  - I. Yu. Popov
TI  - Hartree-fock approximation for the problem of particle storage in deformed nanolayer
JO  - Nanosistemy: fizika, himiâ, matematika
PY  - 2013
SP  - 559
EP  - 563
VL  - 4
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/NANO_2013_4_4_a14/
LA  - en
ID  - NANO_2013_4_4_a14
ER  - 
%0 Journal Article
%A I. F. Melikhov
%A I. Yu. Popov
%T Hartree-fock approximation for the problem of particle storage in deformed nanolayer
%J Nanosistemy: fizika, himiâ, matematika
%D 2013
%P 559-563
%V 4
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/NANO_2013_4_4_a14/
%G en
%F NANO_2013_4_4_a14
I. F. Melikhov; I. Yu. Popov. Hartree-fock approximation for the problem of particle storage in deformed nanolayer. Nanosistemy: fizika, himiâ, matematika, Tome 4 (2013) no. 4, pp. 559-563. http://geodesic.mathdoc.fr/item/NANO_2013_4_4_a14/