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Num. Meth. Prog., 2010, Volume 11, Issue 3, Pages 289–298 (Mi vmp321)  

Вычислительные методы и приложения

Construction of the basis functions for computing by the method of physical-factor splitting in a finite-size domain

A. A. Bryzgalov, F. I. Karmanov

Obninsk Institute for Nuclear Power Engineering of the National Research Nuclear University MEPhI

Abstract: A method is proposed for the construction of the basis functions in problems with bounded potentials. On the basis of a modified variational method, eigenfunctions and energy levels are obtained for a 2D quantum ring situated in a uniform magnetic field. The case of a coordinate-bounded domain is considered. The resulting basis functions can be used to model the time dynamics of the 2D quantum ring electron wave functions in a finite-size domain.

Keywords: variational method; method of physical-factor splitting; basis functions; Schroedinger equation; 2D quantum ring.

Full text: PDF file (1368 kB)
UDC: 51-73

Citation: A. A. Bryzgalov, F. I. Karmanov, “Construction of the basis functions for computing by the method of physical-factor splitting in a finite-size domain”, Num. Meth. Prog., 11:3 (2010), 289–298

Citation in format AMSBIB
\Bibitem{BryKar10}
\by A.~A.~Bryzgalov, F.~I.~Karmanov
\paper Construction of the basis functions for computing by the method of
physical-factor splitting in a finite-size domain
\jour Num. Meth. Prog.
\yr 2010
\vol 11
\issue 3
\pages 289--298
\mathnet{http://mi.mathnet.ru/vmp321}


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