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 i...
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| Published in: | Semiconductor Physics Quantum Electronics & Optoelectronics |
|---|---|
| Date: | 2010 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут фізики напівпровідників імені В.Є. Лашкарьова НАН України
2010
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/118570 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862613978349305856 |
|---|---|
| author | Chuiko, G.P. Don, N.L. |
| author_facet | Chuiko, G.P. Don, N.L. |
| 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. |
| collection | DSpace DC |
| container_title | Semiconductor Physics Quantum Electronics & Optoelectronics |
| 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.
|
| first_indexed | 2025-11-29T09:11:47Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-118570 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1560-8034 |
| language | English |
| last_indexed | 2025-11-29T09:11:47Z |
| publishDate | 2010 |
| publisher | Інститут фізики напівпровідників імені В.Є. Лашкарьова НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Splitting the eigenvectors space for Kildal’s Hamiltonian Chuiko, G.P. Don, N.L. |
| title | 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_short | Splitting the eigenvectors space for Kildal’s Hamiltonian |
| title_sort | splitting the eigenvectors space for kildal’s hamiltonian |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/118570 |
| work_keys_str_mv | AT chuikogp splittingtheeigenvectorsspaceforkildalshamiltonian AT donnl splittingtheeigenvectorsspaceforkildalshamiltonian |