Vote for your favorite mineral in #MinCup25! - Topaz vs. Kyanite
It's a battle of high-pressure colourful beauties of #topaz vs #kyanite. Which can stand the heat of round 1?
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

Schwinger, J (1990) Phonon representations. Proceedings of the National Academy of Sciences, 87 (18) 6983-6984 doi:10.1073/pnas.87.18.6983

Advanced
   -   Only viewable:
Reference TypeJournal (article/letter/editorial)
TitlePhonon representations.
JournalProceedings of the National Academy of Sciences
AuthorsSchwinger, JAuthor
Year1990 (September)Volume87
Issue18
PublisherProceedings of the National Academy of Sciences
DOIdoi:10.1073/pnas.87.18.6983Search in ResearchGate
Generate Citation Formats
Mindat Ref. ID1489083Long-form Identifiermindat:1:5:1489083:9
GUID0
Full ReferenceSchwinger, J (1990) Phonon representations. Proceedings of the National Academy of Sciences, 87 (18) 6983-6984 doi:10.1073/pnas.87.18.6983
Plain TextSchwinger, J (1990) Phonon representations. Proceedings of the National Academy of Sciences, 87 (18) 6983-6984 doi:10.1073/pnas.87.18.6983
In(1990, September) Proceedings of the National Academy of Sciences Vol. 87 (18) Proceedings of the National Academy of Sciences

See Also

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

Schwinger, J. (1990) Phonon dynamics. Proceedings of the National Academy of Sciences, 87 (21) 8370-8372 doi:10.1073/pnas.87.21.8370
Schwinger, J. (1991) Phonon Green's function. Proceedings of the National Academy of Sciences, 88 (15) 6537-6539 doi:10.1073/pnas.88.15.6537
Dawid, I. B. (1990) Editorial. Proceedings of the National Academy of Sciences, 87 (1) doi:10.1073/pnas.87.1.0
Bazan, J F (1990) Structural design and molecular evolution of a cytokine receptor superfamily. Proceedings of the National Academy of Sciences, 87 (18) 6934-6938 doi:10.1073/pnas.87.18.6934
Schwinger, J. (1960) UNITARY OPERATOR BASES. Proceedings of the National Academy of Sciences, 46 (4) 570-579 doi:10.1073/pnas.46.4.570
Lake, J. A. (1990) Origin of the Metazoa. Proceedings of the National Academy of Sciences, 87 (2) 763-766 doi:10.1073/pnas.87.2.763
Schwinger, J. (1960) THE SPECIAL CANONICAL GROUP. Proceedings of the National Academy of Sciences, 46 (10) 1401-1415 doi:10.1073/pnas.46.10.1401
Schwinger, J. (1993) Casimir light: the source. Proceedings of the National Academy of Sciences, 90 (6) 2105-2106 doi:10.1073/pnas.90.6.2105
Wang, L P, Ross, J (1990) Interactions of neural networks: models for distraction and concentration. Proceedings of the National Academy of Sciences, 87 (18) 7110-7114 doi:10.1073/pnas.87.18.7110
(1990) Characterization and expression of the complementary DNA encoding rat histidine decarboxylase. Proceedings of the National Academy of Sciences, 87 (18) 7346 doi:10.1073/pnas.87.18.7346-a
Schwinger, J. (1993) Casimir light: photon pairs. Proceedings of the National Academy of Sciences, 90 (10) 4505-4507 doi:10.1073/pnas.90.10.4505
 
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 Β© 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 13, 2025 04:29:44
Go to top of page