Non-commutative mechanics in mathematical & in condensed matter physics
Non-commutative structures were introduced, independently and around the same time, in mathematical and in condensed matter physics (see Table 1). Souriau's construction applied to the two-parameter central extension of the planar Galilei group leads to the ''exotic'' partic...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2006 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2006
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/146063 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Non-commutative mechanics in mathematical & in condensed matter physics / P.A. Horváthy // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 48 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862672160125878272 |
|---|---|
| author | Horváthy, P.A. |
| author_facet | Horváthy, P.A. |
| citation_txt | Non-commutative mechanics in mathematical & in condensed matter physics / P.A. Horváthy // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 48 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | Non-commutative structures were introduced, independently and around the same time, in mathematical and in condensed matter physics (see Table 1). Souriau's construction applied to the two-parameter central extension of the planar Galilei group leads to the ''exotic'' particle, which has non-commuting position coordinates. A Berry-phase argument applied to the Bloch electron yields in turn a semiclassical model that has been used to explain the anomalous/spin/optical Hall effects. The non-commutative parameter is momentum-dependent in this case, and can take the form of a monopole in momentum space.
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| first_indexed | 2025-12-07T15:34:40Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146063 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T15:34:40Z |
| publishDate | 2006 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Horváthy, P.A. 2019-02-06T17:14:29Z 2019-02-06T17:14:29Z 2006 Non-commutative mechanics in mathematical & in condensed matter physics / P.A. Horváthy // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 48 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 81V70; 81T75 https://nasplib.isofts.kiev.ua/handle/123456789/146063 Non-commutative structures were introduced, independently and around the same time, in mathematical and in condensed matter physics (see Table 1). Souriau's construction applied to the two-parameter central extension of the planar Galilei group leads to the ''exotic'' particle, which has non-commuting position coordinates. A Berry-phase argument applied to the Bloch electron yields in turn a semiclassical model that has been used to explain the anomalous/spin/optical Hall effects. The non-commutative parameter is momentum-dependent in this case, and can take the form of a monopole in momentum space. This paper is a contribution to the Proceedings of the O’Raifeartaigh Symposium on Non-Perturbative and
 Symmetry Methods in Field Theory (June 22–24, 2006, Budapest, Hungary). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Non-commutative mechanics in mathematical & in condensed matter physics Article published earlier |
| spellingShingle | Non-commutative mechanics in mathematical & in condensed matter physics Horváthy, P.A. |
| title | Non-commutative mechanics in mathematical & in condensed matter physics |
| title_full | Non-commutative mechanics in mathematical & in condensed matter physics |
| title_fullStr | Non-commutative mechanics in mathematical & in condensed matter physics |
| title_full_unstemmed | Non-commutative mechanics in mathematical & in condensed matter physics |
| title_short | Non-commutative mechanics in mathematical & in condensed matter physics |
| title_sort | non-commutative mechanics in mathematical & in condensed matter physics |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146063 |
| work_keys_str_mv | AT horvathypa noncommutativemechanicsinmathematicalampincondensedmatterphysics |