Spinor (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Spinor" in English language version.

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14doi.org

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7semanticscholar.org

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7harvard.edu

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3jstor.org

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2numdam.org

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2arxiv.org

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2worldcat.org

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2books.google.com

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1ias.ac.in

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1nih.gov

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1davidhestenes.net

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1ams.org

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ams.org

mathscinet.ams.org

One source for this subsection is Fulton & Harris (1991). Fulton, William; Harris, Joe (1991). Representation Theory: A first course. Graduate Texts in Mathematics, Readings in Mathematics. Vol. 129. New York: Springer-Verlag. doi:10.1007/978-1-4612-0979-9. ISBN 0-387-97495-4. MR 1153249.

arxiv.org

Francis, Matthew R.; Kosowsky, Arthur (2005) [20 March 2004]. "The construction of spinors in geometric algebra". Annals of Physics. 317 (2): 383–409. arXiv:math-ph/0403040. Bibcode:2005AnPhy.317..383F. doi:10.1016/j.aop.2004.11.008. S2CID 119632876.
Xu, Yang-Su; et al. (2015). "Discovery of a Weyl Fermion semimetal and topological Fermi arcs". Science Magazine. 349 (6248). AAAS: 613–617. arXiv:1502.03807. Bibcode:2015Sci...349..613X. doi:10.1126/science.aaa9297. ISSN 0036-8075. PMID 26184916. S2CID 206636457.

books.google.com

Pertti Lounesto: Crumeyrolle's bivectors and spinors, pp. 137–166, In: Rafał Abłamowicz, Pertti Lounesto (eds.): Clifford algebras and spinor structures: A Special Volume Dedicated to the Memory of Albert Crumeyrolle (1919–1992), ISBN 0-7923-3366-7, 1995, p. 151
Pertti Lounesto: Clifford algebras and spinors, London Mathematical Society Lecture Notes Series 286, Cambridge University Press, Second Edition 2001, ISBN 978-0-521-00551-7, p. 148 f. and p. 327 f.

davidhestenes.net

Hestenes, D. (1967). "Real spinor fields" (PDF). J. Math. Phys. 8 (4): 798–808. Bibcode:1967JMP.....8..798H. doi:10.1063/1.1705279. S2CID 13371668.

doi.org

Cartan 1913. Cartan, Élie (1913). "Les groupes projectifs qui ne laissent invariante aucune multiplicité plane" (PDF). Bull. Soc. Math. Fr. 41: 53–96. doi:10.24033/bsmf.916.
Rukhsan-Ul-Haq (December 2016). "Geometry of Spin: Clifford Algebraic Approach". Resonance. 21 (12): 1105–1117. doi:10.1007/s12045-016-0422-5. S2CID 126053475.
For details, see Eberlein, W. F. (1962). "The Spin Model of Euclidean 3-Space". The American Mathematical Monthly. 69 (7): 587–598. doi:10.2307/2310821. JSTOR 2310821.
Francis, Matthew R.; Kosowsky, Arthur (2005) [20 March 2004]. "The construction of spinors in geometric algebra". Annals of Physics. 317 (2): 383–409. arXiv:math-ph/0403040. Bibcode:2005AnPhy.317..383F. doi:10.1016/j.aop.2004.11.008. S2CID 119632876.
Wilczek, Frank (2009). "Majorana returns". Nature Physics. 5 (9). Macmillan Publishers: 614–618. Bibcode:2009NatPh...5..614W. doi:10.1038/nphys1380. ISSN 1745-2473.
Xu, Yang-Su; et al. (2015). "Discovery of a Weyl Fermion semimetal and topological Fermi arcs". Science Magazine. 349 (6248). AAAS: 613–617. arXiv:1502.03807. Bibcode:2015Sci...349..613X. doi:10.1126/science.aaa9297. ISSN 0036-8075. PMID 26184916. S2CID 206636457.
Cartan 1913 Cartan, Élie (1913). "Les groupes projectifs qui ne laissent invariante aucune multiplicité plane" (PDF). Bull. Soc. Math. Fr. 41: 53–96. doi:10.24033/bsmf.916.
Pauli 1927. Pauli, Wolfgang (1927). "Zur Quantenmechanik des magnetischen Elektrons". Zeitschrift für Physik. 43 (9–10): 601–632. Bibcode:1927ZPhy...43..601P. doi:10.1007/BF01397326. S2CID 128228729.
Dirac 1928. Dirac, Paul M. (1928). "The quantum theory of the electron". Proceedings of the Royal Society of London A. 117 (778): 610–624. Bibcode:1928RSPSA.117..610D. doi:10.1098/rspa.1928.0023. JSTOR 94981.
Juvet, G. (1930). "Opérateurs de Dirac et équations de Maxwell". Commentarii Mathematici Helvetici (in French). 2: 225–235. doi:10.1007/BF01214461. S2CID 121226923.
Sauter, F. (1930). "Lösung der Diracschen Gleichungen ohne Spezialisierung der Diracschen Operatoren". Zeitschrift für Physik. 63 (11–12): 803–814. Bibcode:1930ZPhy...63..803S. doi:10.1007/BF01339277. S2CID 122940202.
Hestenes, D. (1967). "Real spinor fields" (PDF). J. Math. Phys. 8 (4): 798–808. Bibcode:1967JMP.....8..798H. doi:10.1063/1.1705279. S2CID 13371668.
One source for this subsection is Fulton & Harris (1991). Fulton, William; Harris, Joe (1991). Representation Theory: A first course. Graduate Texts in Mathematics, Readings in Mathematics. Vol. 129. New York: Springer-Verlag. doi:10.1007/978-1-4612-0979-9. ISBN 0-387-97495-4. MR 1153249.
Brauer & Weyl 1935. Brauer, Richard; Weyl, Hermann (1935). "Spinors in n dimensions". American Journal of Mathematics. 57 (2). The Johns Hopkins University Press: 425–449. doi:10.2307/2371218. JSTOR 2371218.

harvard.edu

ui.adsabs.harvard.edu

Francis, Matthew R.; Kosowsky, Arthur (2005) [20 March 2004]. "The construction of spinors in geometric algebra". Annals of Physics. 317 (2): 383–409. arXiv:math-ph/0403040. Bibcode:2005AnPhy.317..383F. doi:10.1016/j.aop.2004.11.008. S2CID 119632876.
Wilczek, Frank (2009). "Majorana returns". Nature Physics. 5 (9). Macmillan Publishers: 614–618. Bibcode:2009NatPh...5..614W. doi:10.1038/nphys1380. ISSN 1745-2473.
Xu, Yang-Su; et al. (2015). "Discovery of a Weyl Fermion semimetal and topological Fermi arcs". Science Magazine. 349 (6248). AAAS: 613–617. arXiv:1502.03807. Bibcode:2015Sci...349..613X. doi:10.1126/science.aaa9297. ISSN 0036-8075. PMID 26184916. S2CID 206636457.
Pauli 1927. Pauli, Wolfgang (1927). "Zur Quantenmechanik des magnetischen Elektrons". Zeitschrift für Physik. 43 (9–10): 601–632. Bibcode:1927ZPhy...43..601P. doi:10.1007/BF01397326. S2CID 128228729.
Dirac 1928. Dirac, Paul M. (1928). "The quantum theory of the electron". Proceedings of the Royal Society of London A. 117 (778): 610–624. Bibcode:1928RSPSA.117..610D. doi:10.1098/rspa.1928.0023. JSTOR 94981.
Sauter, F. (1930). "Lösung der Diracschen Gleichungen ohne Spezialisierung der Diracschen Operatoren". Zeitschrift für Physik. 63 (11–12): 803–814. Bibcode:1930ZPhy...63..803S. doi:10.1007/BF01339277. S2CID 122940202.
Hestenes, D. (1967). "Real spinor fields" (PDF). J. Math. Phys. 8 (4): 798–808. Bibcode:1967JMP.....8..798H. doi:10.1063/1.1705279. S2CID 13371668.

ias.ac.in

Rukhsan-Ul-Haq (December 2016). "Geometry of Spin: Clifford Algebraic Approach". Resonance. 21 (12): 1105–1117. doi:10.1007/s12045-016-0422-5. S2CID 126053475.

jstor.org

For details, see Eberlein, W. F. (1962). "The Spin Model of Euclidean 3-Space". The American Mathematical Monthly. 69 (7): 587–598. doi:10.2307/2310821. JSTOR 2310821.
Dirac 1928. Dirac, Paul M. (1928). "The quantum theory of the electron". Proceedings of the Royal Society of London A. 117 (778): 610–624. Bibcode:1928RSPSA.117..610D. doi:10.1098/rspa.1928.0023. JSTOR 94981.
Brauer & Weyl 1935. Brauer, Richard; Weyl, Hermann (1935). "Spinors in n dimensions". American Journal of Mathematics. 57 (2). The Johns Hopkins University Press: 425–449. doi:10.2307/2371218. JSTOR 2371218.

nih.gov

pubmed.ncbi.nlm.nih.gov

Xu, Yang-Su; et al. (2015). "Discovery of a Weyl Fermion semimetal and topological Fermi arcs". Science Magazine. 349 (6248). AAAS: 613–617. arXiv:1502.03807. Bibcode:2015Sci...349..613X. doi:10.1126/science.aaa9297. ISSN 0036-8075. PMID 26184916. S2CID 206636457.

numdam.org

archive.numdam.org

Cartan 1913. Cartan, Élie (1913). "Les groupes projectifs qui ne laissent invariante aucune multiplicité plane" (PDF). Bull. Soc. Math. Fr. 41: 53–96. doi:10.24033/bsmf.916.
Cartan 1913 Cartan, Élie (1913). "Les groupes projectifs qui ne laissent invariante aucune multiplicité plane" (PDF). Bull. Soc. Math. Fr. 41: 53–96. doi:10.24033/bsmf.916.

semanticscholar.org

api.semanticscholar.org

Rukhsan-Ul-Haq (December 2016). "Geometry of Spin: Clifford Algebraic Approach". Resonance. 21 (12): 1105–1117. doi:10.1007/s12045-016-0422-5. S2CID 126053475.
Francis, Matthew R.; Kosowsky, Arthur (2005) [20 March 2004]. "The construction of spinors in geometric algebra". Annals of Physics. 317 (2): 383–409. arXiv:math-ph/0403040. Bibcode:2005AnPhy.317..383F. doi:10.1016/j.aop.2004.11.008. S2CID 119632876.
Xu, Yang-Su; et al. (2015). "Discovery of a Weyl Fermion semimetal and topological Fermi arcs". Science Magazine. 349 (6248). AAAS: 613–617. arXiv:1502.03807. Bibcode:2015Sci...349..613X. doi:10.1126/science.aaa9297. ISSN 0036-8075. PMID 26184916. S2CID 206636457.
Pauli 1927. Pauli, Wolfgang (1927). "Zur Quantenmechanik des magnetischen Elektrons". Zeitschrift für Physik. 43 (9–10): 601–632. Bibcode:1927ZPhy...43..601P. doi:10.1007/BF01397326. S2CID 128228729.
Juvet, G. (1930). "Opérateurs de Dirac et équations de Maxwell". Commentarii Mathematici Helvetici (in French). 2: 225–235. doi:10.1007/BF01214461. S2CID 121226923.
Sauter, F. (1930). "Lösung der Diracschen Gleichungen ohne Spezialisierung der Diracschen Operatoren". Zeitschrift für Physik. 63 (11–12): 803–814. Bibcode:1930ZPhy...63..803S. doi:10.1007/BF01339277. S2CID 122940202.
Hestenes, D. (1967). "Real spinor fields" (PDF). J. Math. Phys. 8 (4): 798–808. Bibcode:1967JMP.....8..798H. doi:10.1063/1.1705279. S2CID 13371668.

worldcat.org

search.worldcat.org

Wilczek, Frank (2009). "Majorana returns". Nature Physics. 5 (9). Macmillan Publishers: 614–618. Bibcode:2009NatPh...5..614W. doi:10.1038/nphys1380. ISSN 1745-2473.
Xu, Yang-Su; et al. (2015). "Discovery of a Weyl Fermion semimetal and topological Fermi arcs". Science Magazine. 349 (6248). AAAS: 613–617. arXiv:1502.03807. Bibcode:2015Sci...349..613X. doi:10.1126/science.aaa9297. ISSN 0036-8075. PMID 26184916. S2CID 206636457.