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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| Дата: | 2010 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут фізики напівпровідників імені В.Є. Лашкарьова НАН України
2010
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| Назва видання: | Semiconductor Physics Quantum Electronics & Optoelectronics |
| Онлайн доступ: | http://dspace.nbuv.gov.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 |
irk-123456789-118570 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1185702017-05-31T03:05:22Z Splitting the eigenvectors space for Kildal’s Hamiltonian Chuiko, G.P. Don, N.L. 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. 2010 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/118570 en Semiconductor Physics Quantum Electronics & Optoelectronics Інститут фізики напівпровідників імені В.Є. Лашкарьова НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Chuiko, G.P. Don, N.L. |
| spellingShingle |
Chuiko, G.P. Don, N.L. Splitting the eigenvectors space for Kildal’s Hamiltonian Semiconductor Physics Quantum Electronics & Optoelectronics |
| author_facet |
Chuiko, G.P. Don, N.L. |
| author_sort |
Chuiko, G.P. |
| title |
Splitting the eigenvectors space for Kildal’s Hamiltonian |
| 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 |
| publisher |
Інститут фізики напівпровідників імені В.Є. Лашкарьова НАН України |
| publishDate |
2010 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Semiconductor Physics Quantum Electronics & Optoelectronics |
| work_keys_str_mv |
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2023-10-18T20:32:14Z |
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