Calculating the Energy Spectrum of Complex Low-Dimensional Heterostructures in the Electric Field
An algorithm for solving the steady-state Schrödinger equation for a complex piecewise-constant potential in the presence of the E-field is developed and implemented. The algorithm is based on the consecutive matching of solutions given by the Airy functions at the band boundaries with the matrix ra...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2013/807462 |
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| _version_ | 1850177277092954112 |
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| author | Svetlana N. Khonina Sergey G. Volotovsky Sergey I. Kharitonov Nikolay L. Kazanskiy |
| author_facet | Svetlana N. Khonina Sergey G. Volotovsky Sergey I. Kharitonov Nikolay L. Kazanskiy |
| author_sort | Svetlana N. Khonina |
| collection | DOAJ |
| description | An algorithm for solving the steady-state Schrödinger equation for a complex piecewise-constant potential in the presence of the E-field is developed and implemented. The algorithm is based on the consecutive matching of solutions given by the Airy functions at the band boundaries with the matrix rank increasing by no more than two orders, which enables the characteristic solution to be obtained in the convenient form for search of the roots. The algorithm developed allows valid solutions to be obtained for the electric field magnitudes larger than the ground-state energy level, that is, when the perturbation method is not suitable. |
| format | Article |
| id | doaj-art-c31574c3a05546febb7be57c46e5e069 |
| institution | OA Journals |
| issn | 1537-744X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-c31574c3a05546febb7be57c46e5e0692025-08-20T02:19:01ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/807462807462Calculating the Energy Spectrum of Complex Low-Dimensional Heterostructures in the Electric FieldSvetlana N. Khonina0Sergey G. Volotovsky1Sergey I. Kharitonov2Nikolay L. Kazanskiy3Image Processing Systems Institute of the Russian Academy of Sciences, Molodogvardeiskaya Street 151, Samara 443001, RussiaImage Processing Systems Institute of the Russian Academy of Sciences, Molodogvardeiskaya Street 151, Samara 443001, RussiaImage Processing Systems Institute of the Russian Academy of Sciences, Molodogvardeiskaya Street 151, Samara 443001, RussiaImage Processing Systems Institute of the Russian Academy of Sciences, Molodogvardeiskaya Street 151, Samara 443001, RussiaAn algorithm for solving the steady-state Schrödinger equation for a complex piecewise-constant potential in the presence of the E-field is developed and implemented. The algorithm is based on the consecutive matching of solutions given by the Airy functions at the band boundaries with the matrix rank increasing by no more than two orders, which enables the characteristic solution to be obtained in the convenient form for search of the roots. The algorithm developed allows valid solutions to be obtained for the electric field magnitudes larger than the ground-state energy level, that is, when the perturbation method is not suitable.http://dx.doi.org/10.1155/2013/807462 |
| spellingShingle | Svetlana N. Khonina Sergey G. Volotovsky Sergey I. Kharitonov Nikolay L. Kazanskiy Calculating the Energy Spectrum of Complex Low-Dimensional Heterostructures in the Electric Field The Scientific World Journal |
| title | Calculating the Energy Spectrum of Complex Low-Dimensional Heterostructures in the Electric Field |
| title_full | Calculating the Energy Spectrum of Complex Low-Dimensional Heterostructures in the Electric Field |
| title_fullStr | Calculating the Energy Spectrum of Complex Low-Dimensional Heterostructures in the Electric Field |
| title_full_unstemmed | Calculating the Energy Spectrum of Complex Low-Dimensional Heterostructures in the Electric Field |
| title_short | Calculating the Energy Spectrum of Complex Low-Dimensional Heterostructures in the Electric Field |
| title_sort | calculating the energy spectrum of complex low dimensional heterostructures in the electric field |
| url | http://dx.doi.org/10.1155/2013/807462 |
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