On geometric interpretation of the berry phase
A geometric interpretation of the Berry phase and its Wilczek–Zee non-Abelian generalization are given in terms of connections on principal fiber bundles. It is demonstrated that a principal fiber bundle can be trivial in all cases, while the connection and its holonomy group are nontrivial. Therefo...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Katanaev, M. O. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2012 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media, Inc. 2012 |
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| Übergeordnetes Werk: |
Enthalten in: Russian physics journal - Springer US, 1992, 54(2012), 10 vom: März, Seite 1082-1092 |
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| Übergeordnetes Werk: |
volume:54 ; year:2012 ; number:10 ; month:03 ; pages:1082-1092 |
| Links: |
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| DOI / URN: |
10.1007/s11182-012-9715-7 |
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OLC2033075095 |
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| 520 | |a A geometric interpretation of the Berry phase and its Wilczek–Zee non-Abelian generalization are given in terms of connections on principal fiber bundles. It is demonstrated that a principal fiber bundle can be trivial in all cases, while the connection and its holonomy group are nontrivial. Therefore, the main role is played by geometric rather than topological effects. | ||
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10.1007/s11182-012-9715-7 doi (DE-627)OLC2033075095 (DE-He213)s11182-012-9715-7-p DE-627 ger DE-627 rakwb eng 530 370 VZ Katanaev, M. O. verfasserin aut On geometric interpretation of the berry phase 2012 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, Inc. 2012 A geometric interpretation of the Berry phase and its Wilczek–Zee non-Abelian generalization are given in terms of connections on principal fiber bundles. It is demonstrated that a principal fiber bundle can be trivial in all cases, while the connection and its holonomy group are nontrivial. Therefore, the main role is played by geometric rather than topological effects. Berry’s phase differential geometry Enthalten in Russian physics journal Springer US, 1992 54(2012), 10 vom: März, Seite 1082-1092 (DE-627)131169718 (DE-600)1138228-4 (DE-576)033029253 1064-8887 nnns volume:54 year:2012 number:10 month:03 pages:1082-1092 https://doi.org/10.1007/s11182-012-9715-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_70 AR 54 2012 10 03 1082-1092 |
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10.1007/s11182-012-9715-7 doi (DE-627)OLC2033075095 (DE-He213)s11182-012-9715-7-p DE-627 ger DE-627 rakwb eng 530 370 VZ Katanaev, M. O. verfasserin aut On geometric interpretation of the berry phase 2012 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, Inc. 2012 A geometric interpretation of the Berry phase and its Wilczek–Zee non-Abelian generalization are given in terms of connections on principal fiber bundles. It is demonstrated that a principal fiber bundle can be trivial in all cases, while the connection and its holonomy group are nontrivial. Therefore, the main role is played by geometric rather than topological effects. Berry’s phase differential geometry Enthalten in Russian physics journal Springer US, 1992 54(2012), 10 vom: März, Seite 1082-1092 (DE-627)131169718 (DE-600)1138228-4 (DE-576)033029253 1064-8887 nnns volume:54 year:2012 number:10 month:03 pages:1082-1092 https://doi.org/10.1007/s11182-012-9715-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_70 AR 54 2012 10 03 1082-1092 |
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A geometric interpretation of the Berry phase and its Wilczek–Zee non-Abelian generalization are given in terms of connections on principal fiber bundles. It is demonstrated that a principal fiber bundle can be trivial in all cases, while the connection and its holonomy group are nontrivial. Therefore, the main role is played by geometric rather than topological effects. © Springer Science+Business Media, Inc. 2012 |
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A geometric interpretation of the Berry phase and its Wilczek–Zee non-Abelian generalization are given in terms of connections on principal fiber bundles. It is demonstrated that a principal fiber bundle can be trivial in all cases, while the connection and its holonomy group are nontrivial. Therefore, the main role is played by geometric rather than topological effects. © Springer Science+Business Media, Inc. 2012 |
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A geometric interpretation of the Berry phase and its Wilczek–Zee non-Abelian generalization are given in terms of connections on principal fiber bundles. It is demonstrated that a principal fiber bundle can be trivial in all cases, while the connection and its holonomy group are nontrivial. Therefore, the main role is played by geometric rather than topological effects. © Springer Science+Business Media, Inc. 2012 |
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