Vote for your favorite mineral in #MinCup25! - Stibnite vs. Okenite
It's a battle of dark and light as soft, dramatic stibnite goes up against adorable cottonballs of Okenite.
Log InRegister
Quick Links : The Mindat ManualThe Rock H. Currier Digital LibraryMindat Newsletter [Free Download]
Home PageAbout MindatThe Mindat ManualHistory of MindatCopyright StatusWho We AreContact UsAdvertise on Mindat
Donate to MindatCorporate SponsorshipSponsor a PageSponsored PagesMindat AdvertisersAdvertise on Mindat
Learning CenterWhat is a mineral?The most common minerals on earthInformation for EducatorsMindat ArticlesThe ElementsThe Rock H. Currier Digital LibraryGeologic Time
Minerals by PropertiesMinerals by ChemistryAdvanced Locality SearchRandom MineralRandom LocalitySearch by minIDLocalities Near MeSearch ArticlesSearch GlossaryMore Search Options
Search For:
Mineral Name:
Locality Name:
Keyword(s):
 
The Mindat ManualAdd a New PhotoRate PhotosLocality Edit ReportCoordinate Completion ReportAdd Glossary Item
Mining CompaniesStatisticsUsersMineral MuseumsClubs & OrganizationsMineral Shows & EventsThe Mindat DirectoryDevice SettingsThe Mineral Quiz
Photo SearchPhoto GalleriesSearch by ColorNew Photos TodayNew Photos YesterdayMembers' Photo GalleriesPast Photo of the Day GalleryPhotography

Breev, A. I., Shirokov, I. V. (2009) Polarization of a spinor field vacuum on manifolds of the Lie groups. Russian Physics Journal, 52 (8). 823-832 doi:10.1007/s11182-010-9311-7

Advanced
   -   Only viewable:
Reference TypeJournal (article/letter/editorial)
TitlePolarization of a spinor field vacuum on manifolds of the Lie groups
JournalRussian Physics Journal
AuthorsBreev, A. I.Author
Shirokov, I. V.Author
Year2009 (August)Volume52
Issue8
PublisherSpringer Science and Business Media LLC
DOIdoi:10.1007/s11182-010-9311-7Search in ResearchGate
Generate Citation Formats
Mindat Ref. ID9035207Long-form Identifiermindat:1:5:9035207:8
GUID0
Full ReferenceBreev, A. I., Shirokov, I. V. (2009) Polarization of a spinor field vacuum on manifolds of the Lie groups. Russian Physics Journal, 52 (8). 823-832 doi:10.1007/s11182-010-9311-7
Plain TextBreev, A. I., Shirokov, I. V. (2009) Polarization of a spinor field vacuum on manifolds of the Lie groups. Russian Physics Journal, 52 (8). 823-832 doi:10.1007/s11182-010-9311-7
In(2009, August) Russian Physics Journal Vol. 52 (8) Springer Science and Business Media LLC

See Also

These are possibly similar items as determined by title/reference text matching only.

Breev, A. I. (2010) Vacuum polarization of a scalar field on the nonunimodular lie groups. Russian Physics Journal, 53 (4). 421-430 doi:10.1007/s11182-010-9435-9
Breev, A. I., Shirokov, I. V., Magazev, A. A. (2011) Vacuum polarization of a scalar field on lie groups and homogeneous spaces. Theoretical and Mathematical Physics, 167. 468-483 doi:10.1007/s11232-011-0035-9
Uglirzh, A. Yu., Shirokov, I. V. (2007) Integrable field models on manifolds of the Lie groups. Russian Physics Journal, 50 (5). 480-486 doi:10.1007/s11182-007-0070-z
Breev, A. I., Shirokov, I. V., Razumov, D. N. (2007) Polarization of a scalar field vacuum on a manifold conformally equivalent to the manifold R⊗G. Russian Physics Journal, 50 (10). 1012-1020 doi:10.1007/s11182-007-0146-9
Breev, A. I. (2014) Schrödinger Equation with Convolution Nonlinearity on Lie Groups and Commutative Homogeneous Spaces. Russian Physics Journal, 57 (8). 1050-1058 doi:10.1007/s11182-014-0343-2
Breev, A. I., Mosman, E. A. (2016) Noncommutative Integration and Symmetry Algebra of the Dirac Equation on the Lie Groups. Russian Physics Journal, 59 (8). 1153-1163 doi:10.1007/s11182-016-0885-6
Breev, A. I., Magazev, A. A. (2017) Integration of the Dirac Equation on Lie Groups in an External Electromagnetic Field Admitting a Noncommutative Symmetry Algebra. Russian Physics Journal, 59 (12). 2048-2058 doi:10.1007/s11182-017-1013-y
Kurnyavko, O. L., Shirokov, I. V., Yurevich, Yu. A. (2006) Polarization of vacuum of quantum fields in the external Aharonov-Bohm field. Part I. Russian Physics Journal, 49 (2). 147-156 doi:10.1007/s11182-006-0080-2
Kurnyavko, O. L., Shirokov, I. V., Yurevich, Yu. A. (2006) Polarization of vacuum of quantum fields in the Aaronov-Bohm external field. II. Russian Physics Journal, 49 (4). 345-351 doi:10.1007/s11182-006-0112-y
Breev, A. I., Goncharovskii, M. M., Shirokov, I. V. (2013) Klein–Gordon equation with a special type of nonlocal nonlinearity in commutative homogeneous spaces with invariant metric. Russian Physics Journal, 56 (7). 731-739 doi:10.1007/s11182-013-0092-7
Mikheev, V. V., Shirokov, I. V. (2007) Method of orbits of coassociated representation in thermodynamics of the lie noncompact groups. Russian Physics Journal, 50 (3). 290-295 doi:10.1007/s11182-007-0040-5
 
and/or  
Mindat.org is an outreach project of the Hudson Institute of Mineralogy, a 501(c)(3) not-for-profit organization.
Copyright © mindat.org and the Hudson Institute of Mineralogy 1993-2025, except where stated. Most political location boundaries are © OpenStreetMap contributors. Mindat.org relies on the contributions of thousands of members and supporters. Founded in 2000 by Jolyon Ralph.
To cite: Ralph, J., Von Bargen, D., Martynov, P., Zhang, J., Que, X., Prabhu, A., Morrison, S. M., Li, W., Chen, W., & Ma, X. (2025). Mindat.org: The open access mineralogy database to accelerate data-intensive geoscience research. American Mineralogist, 110(6), 833–844. doi:10.2138/am-2024-9486.
Privacy Policy - Terms & Conditions - Contact Us / DMCA issues - Report a bug/vulnerability Current server date and time: September 2, 2025 04:58:47
Go to top of page