Geodesic
Construction of the basis functions for computing by the method of
Numerical methods and programming, Tome 11 (2010) no. 3, pp. 289-298 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
@article{VMP_2010_11_3_a9,
     author = {A. A. Bryzgalov and F. I. Karmanov},
     title = {Construction of the basis functions for computing by the method of},
     journal = {Numerical methods and programming},
     pages = {289--298},
     year = {2010},
     volume = {11},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2010_11_3_a9/}
}
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A. A. Bryzgalov; F. I. Karmanov. Construction of the basis functions for computing by the method of. Numerical methods and programming, Tome 11 (2010) no. 3, pp. 289-298. http://geodesic.mathdoc.fr/item/VMP_2010_11_3_a9/