Geodesic
Tunnelling control by a magnetic field in the system of two
Numerical methods and programming, Tome 12 (2011) no. 2, pp. 262-274.

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The operation of a quantum device consisting of two concentric rings and controlling by an alternating magnetic field is demonstrated using a double-well potential model. The electron tunnelling between the rings is modelled by the method of splitting into physical processes. This method uses the previously calculated eigenvalues and eigenfunctions for various values of the magnetic field strength. The number of basis functions for the splitting method is evaluated for some different modelling cases.
Keywords: eigenvalue problem; asymmetric double-well potential; nonstationary Schroedinger equation; alternating magnetic field; electron tunnelling; concentric quantum rings; control of the wave packet position. 
@article{VMP_2011_12_2_a6,
     author = {A. A. Bryzgalov and F. I. Karmanov},
     title = {Tunnelling control by a magnetic field in the system of two},
     journal = {Numerical methods and programming},
     pages = {262--274},
     publisher = {mathdoc},
     volume = {12},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2011_12_2_a6/}
}
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A. A. Bryzgalov; F. I. Karmanov. Tunnelling control by a magnetic field in the system of two. Numerical methods and programming, Tome 12 (2011) no. 2, pp. 262-274. http://geodesic.mathdoc.fr/item/VMP_2011_12_2_a6/