Non-commutative mechanics in mathematical & in condensed matter physics
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
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Non-commutative mechanics in mathematical & in condensed matter physics
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| Creator |
Horváthy, P.A.
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| 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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| Date |
2019-02-06T17:14:29Z
2019-02-06T17:14:29Z 2006 |
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| Type |
Article
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| Identifier |
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 http://dspace.nbuv.gov.ua/handle/123456789/146063 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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