Splitting the eigenvectors space for Kildal’s Hamiltonian
The rational canonical form of Kildal’s Hamiltonian has been obtained as a matrix with two identical diagonal blocks. It allowed to formulate and strictly prove few common assertions. Each of the eigenvalues of Kildal’s Hamiltonian is twice degenerated everywhere, and it is well-known Kramers’ de...
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| Опубліковано в: : | Semiconductor Physics Quantum Electronics & Optoelectronics |
|---|---|
| Дата: | 2010 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут фізики напівпровідників імені В.Є. Лашкарьова НАН України
2010
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/118570 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Splitting the eigenvectors space for Kildal’s Hamiltonian / G.P. Chuiko, N.L. Don // Semiconductor Physics Quantum Electronics & Optoelectronics. — 2010. — Т. 13, № 4. — С. 366-368. — Бібліогр.: 6 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-118570 |
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dspace |
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Chuiko, G.P. Don, N.L. 2017-05-30T16:25:10Z 2017-05-30T16:25:10Z 2010 Splitting the eigenvectors space for Kildal’s Hamiltonian / G.P. Chuiko, N.L. Don // Semiconductor Physics Quantum Electronics & Optoelectronics. — 2010. — Т. 13, № 4. — С. 366-368. — Бібліогр.: 6 назв. — англ. 1560-8034 PACS 71.18.+y, 71.20.-b https://nasplib.isofts.kiev.ua/handle/123456789/118570 The rational canonical form of Kildal’s Hamiltonian has been obtained as a matrix with two identical diagonal blocks. It allowed to formulate and strictly prove few common assertions. Each of the eigenvalues of Kildal’s Hamiltonian is twice degenerated everywhere, and it is well-known Kramers’ degeneration, firstly. However, there is neither degeneration with except for Kramers’, secondly. The symmetry of Kildal’s Hamiltonian forcedly includes the operation of inversion (i.e. the center of symmetry), thirdly. Consequently this form of Hamiltonian is evidently not able to describe the specific properties of crystals without the center of symmetry. The Frobenius form (alias “the rational canonical form”) of Hamiltonian should consist of two non-identical diagonal blocks to remove Kramers’ degeneration. en Інститут фізики напівпровідників імені В.Є. Лашкарьова НАН України Semiconductor Physics Quantum Electronics & Optoelectronics Splitting the eigenvectors space for Kildal’s Hamiltonian Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Splitting the eigenvectors space for Kildal’s Hamiltonian |
| spellingShingle |
Splitting the eigenvectors space for Kildal’s Hamiltonian Chuiko, G.P. Don, N.L. |
| title_short |
Splitting the eigenvectors space for Kildal’s Hamiltonian |
| title_full |
Splitting the eigenvectors space for Kildal’s Hamiltonian |
| title_fullStr |
Splitting the eigenvectors space for Kildal’s Hamiltonian |
| title_full_unstemmed |
Splitting the eigenvectors space for Kildal’s Hamiltonian |
| title_sort |
splitting the eigenvectors space for kildal’s hamiltonian |
| author |
Chuiko, G.P. Don, N.L. |
| author_facet |
Chuiko, G.P. Don, N.L. |
| publishDate |
2010 |
| language |
English |
| container_title |
Semiconductor Physics Quantum Electronics & Optoelectronics |
| publisher |
Інститут фізики напівпровідників імені В.Є. Лашкарьова НАН України |
| format |
Article |
| description |
The rational canonical form of Kildal’s Hamiltonian has been obtained as a
matrix with two identical diagonal blocks. It allowed to formulate and strictly prove few
common assertions. Each of the eigenvalues of Kildal’s Hamiltonian is twice
degenerated everywhere, and it is well-known Kramers’ degeneration, firstly. However,
there is neither degeneration with except for Kramers’, secondly. The symmetry of
Kildal’s Hamiltonian forcedly includes the operation of inversion (i.e. the center of
symmetry), thirdly. Consequently this form of Hamiltonian is evidently not able to
describe the specific properties of crystals without the center of symmetry. The
Frobenius form (alias “the rational canonical form”) of Hamiltonian should consist of
two non-identical diagonal blocks to remove Kramers’ degeneration.
|
| issn |
1560-8034 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/118570 |
| citation_txt |
Splitting the eigenvectors space for Kildal’s Hamiltonian / G.P. Chuiko, N.L. Don // Semiconductor Physics Quantum Electronics & Optoelectronics. — 2010. — Т. 13, № 4. — С. 366-368. — Бібліогр.: 6 назв. — англ. |
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2025-11-29T09:11:47Z |
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2025-11-29T09:11:47Z |
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1850854706593660928 |