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Nanosystems: Physics, Chemistry, Mathematics, 2013, Volume 4, Issue 2, Pages 173–181 (Mi nano746)  

Multi particle states calculations and particles storage in perturbed nanolayers

S. I. Popov

Saint Petersburg National Research University of Information Technologies, Mechanics and Optics, 49 Kronverkskiy, Saint Petersburg, 197101, Russia
Abstract: The problem of particle storage in nanolayered structures will be considered. Local perturbations of nanolayers can lead to the appearanceof eigenvalues of the corresponding one-particle Hamiltonian. To study particle storage it is necessary to deal with the multi-particle problem. This problem faces essential computational difficulties due to the great increase of the spatial dimension. Using a composite of natural physical models, analytical methods and computational approaches allows one to simplify the problem and to obtain useful results for application. Particularly, the Hartree method and Finite Elements Method (FEM) are used. The discrete spectrum of the Hamiltonian for two interacting particles is considered. Two different types of perturbation are considered: deformation of the layer boundary and a small window in a wall between two layers. The relation between the system parameters (interaction intensity – waveguide deformation) ensuring the existence of a non-empty discrete spectrum is studied. A comparison of particle storage efficiencies is made for these two cases.
Keywords: discrete spectrum, few-particle problem, quantum waveguide.
Funding agency
The work was supported by Federal Targeted Program “Scientific and Educational Human Resources for Innovation-Driven Russia” (contracts P689 NK-526P, 14.740.11.0879, 16.740.11.0030), grant 11-08-00267 of Russian Foundation for Basic Researches.
Bibliographic databases:
Document Type: Article
PACS: 02.30.Tb, 73.21.Ac, 03.65.Ge
Language: English
Citation: S. I. Popov, “Multi particle states calculations and particles storage in perturbed nanolayers”, Nanosystems: Physics, Chemistry, Mathematics, 4:2 (2013), 173–181
Citation in format AMSBIB
\Bibitem{Pop13}
\by S.~I.~Popov
\paper Multi particle states calculations and particles storage in perturbed nanolayers
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2013
\vol 4
\issue 2
\pages 173--181
\mathnet{http://mi.mathnet.ru/nano746}
\elib{https://elibrary.ru/item.asp?id=18964068}
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