Spherical harmonics (English Wikipedia)

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

refsWebsite

Global rank English rank

7harvard.edu

18^th place

17^th place

5archive.org

6^th place

5doi.org

2^nd place

3worldcat.org

5^th place

2wolfram.com

513^th place

537^th place

1arxiv.org

69^th place

59^th place

1semanticscholar.org

11^th place

8^th place

1numdam.org

8,650^th place

7,668^th place

1ams.org

451^st place

277^th place

1encyclopediaofmath.org

3,863^rd place

2,637^th place

1scitation.org

4,352^nd place

3,229^th place

1osapublishing.org

low place

1nih.gov

4^th place

ams.org

mathscinet.ams.org

Eremenko, Jakobson & Nadirashvili 2007 Eremenko, Alexandre; Jakobson, Dmitry; Nadirashvili, Nikolai (2007), "On nodal sets and nodal domains on S² and R²", Annales de l'Institut Fourier, 57 (7): 2345–2360, doi:10.5802/aif.2335, ISSN 0373-0956, MR 2394544

archive.org

Edmonds 1957, §2.5 Edmonds, A.R. (1957), Angular Momentum in Quantum Mechanics, Princeton University Press, ISBN 0-691-07912-9
Blakely, Richard (1995). Potential theory in gravity and magnetic applications. Cambridge England New York: Cambridge University Press. p. 113. ISBN 978-0521415088.
Edmonds, A. R. (1996). Angular Momentum In Quantum Mechanics. Princeton University Press. p. 63.
Stein & Weiss 1971, §IV.2 Stein, Elias; Weiss, Guido (1971), Introduction to Fourier Analysis on Euclidean Spaces, Princeton, N.J.: Princeton University Press, ISBN 978-0-691-08078-9.
Solomentsev 2001; Stein & Weiss 1971, §Iv.2 Solomentsev, E.D. (2001) [1994], "Spherical harmonics", Encyclopedia of Mathematics, EMS Press. Stein, Elias; Weiss, Guido (1971), Introduction to Fourier Analysis on Euclidean Spaces, Princeton, N.J.: Princeton University Press, ISBN 978-0-691-08078-9.

arxiv.org

Li, Feifei; Braun, Carol; Garg, Anupam (2013), "The Weyl-Wigner-Moyal Formalism for Spin", Europhysics Letters, 102 (6): 60006, arXiv:1210.4075, Bibcode:2013EL....10260006L, doi:10.1209/0295-5075/102/60006, S2CID 119610178

doi.org

Li, Feifei; Braun, Carol; Garg, Anupam (2013), "The Weyl-Wigner-Moyal Formalism for Spin", Europhysics Letters, 102 (6): 60006, arXiv:1210.4075, Bibcode:2013EL....10260006L, doi:10.1209/0295-5075/102/60006, S2CID 119610178
Unsöld 1927 Unsöld, Albrecht (1927), "Beiträge zur Quantenmechanik der Atome", Annalen der Physik, 387 (3): 355–393, Bibcode:1927AnP...387..355U, doi:10.1002/andp.19273870304.
Eremenko, Jakobson & Nadirashvili 2007 Eremenko, Alexandre; Jakobson, Dmitry; Nadirashvili, Nikolai (2007), "On nodal sets and nodal domains on S² and R²", Annales de l'Institut Fourier, 57 (7): 2345–2360, doi:10.5802/aif.2335, ISSN 0373-0956, MR 2394544
Higuchi, Atsushi (1987). "Symmetric tensor spherical harmonics on the N-sphere and their application to the de Sitter group SO(N,1)". Journal of Mathematical Physics. 28 (7): 1553–1566. Bibcode:1987JMP....28.1553H. doi:10.1063/1.527513.
Zheng Y, Wei K, Liang B, Li Y, Chu X (2019-12-23). "Zernike like functions on spherical cap: principle and applications in optical surface fitting and graphics rendering". Optics Express. 27 (26): 37180–37195. Bibcode:2019OExpr..2737180Z. doi:10.1364/OE.27.037180. ISSN 1094-4087. PMID 31878503.

encyclopediaofmath.org

Solomentsev 2001; Stein & Weiss 1971, §Iv.2 Solomentsev, E.D. (2001) [1994], "Spherical harmonics", Encyclopedia of Mathematics, EMS Press. Stein, Elias; Weiss, Guido (1971), Introduction to Fourier Analysis on Euclidean Spaces, Princeton, N.J.: Princeton University Press, ISBN 978-0-691-08078-9.

harvard.edu

ui.adsabs.harvard.edu

Hall 2013 Section 17.6 Hall, Brian C. (2013), Quantum Theory for Mathematicians, Graduate Texts in Mathematics, vol. 267, Springer, Bibcode:2013qtm..book.....H, ISBN 978-1461471158
Hall 2013 Lemma 17.16 Hall, Brian C. (2013), Quantum Theory for Mathematicians, Graduate Texts in Mathematics, vol. 267, Springer, Bibcode:2013qtm..book.....H, ISBN 978-1461471158
Li, Feifei; Braun, Carol; Garg, Anupam (2013), "The Weyl-Wigner-Moyal Formalism for Spin", Europhysics Letters, 102 (6): 60006, arXiv:1210.4075, Bibcode:2013EL....10260006L, doi:10.1209/0295-5075/102/60006, S2CID 119610178
Unsöld 1927 Unsöld, Albrecht (1927), "Beiträge zur Quantenmechanik der Atome", Annalen der Physik, 387 (3): 355–393, Bibcode:1927AnP...387..355U, doi:10.1002/andp.19273870304.
Higuchi, Atsushi (1987). "Symmetric tensor spherical harmonics on the N-sphere and their application to the de Sitter group SO(N,1)". Journal of Mathematical Physics. 28 (7): 1553–1566. Bibcode:1987JMP....28.1553H. doi:10.1063/1.527513.
Hall 2013 Corollary 17.17 Hall, Brian C. (2013), Quantum Theory for Mathematicians, Graduate Texts in Mathematics, vol. 267, Springer, Bibcode:2013qtm..book.....H, ISBN 978-1461471158
Zheng Y, Wei K, Liang B, Li Y, Chu X (2019-12-23). "Zernike like functions on spherical cap: principle and applications in optical surface fitting and graphics rendering". Optics Express. 27 (26): 37180–37195. Bibcode:2019OExpr..2737180Z. doi:10.1364/OE.27.037180. ISSN 1094-4087. PMID 31878503.

nih.gov

pubmed.ncbi.nlm.nih.gov

Zheng Y, Wei K, Liang B, Li Y, Chu X (2019-12-23). "Zernike like functions on spherical cap: principle and applications in optical surface fitting and graphics rendering". Optics Express. 27 (26): 37180–37195. Bibcode:2019OExpr..2737180Z. doi:10.1364/OE.27.037180. ISSN 1094-4087. PMID 31878503.

numdam.org

Eremenko, Jakobson & Nadirashvili 2007 Eremenko, Alexandre; Jakobson, Dmitry; Nadirashvili, Nikolai (2007), "On nodal sets and nodal domains on S² and R²", Annales de l'Institut Fourier, 57 (7): 2345–2360, doi:10.5802/aif.2335, ISSN 0373-0956, MR 2394544

osapublishing.org

Zheng Y, Wei K, Liang B, Li Y, Chu X (2019-12-23). "Zernike like functions on spherical cap: principle and applications in optical surface fitting and graphics rendering". Optics Express. 27 (26): 37180–37195. Bibcode:2019OExpr..2737180Z. doi:10.1364/OE.27.037180. ISSN 1094-4087. PMID 31878503.

scitation.org

aip.scitation.org

Higuchi, Atsushi (1987). "Symmetric tensor spherical harmonics on the N-sphere and their application to the de Sitter group SO(N,1)". Journal of Mathematical Physics. 28 (7): 1553–1566. Bibcode:1987JMP....28.1553H. doi:10.1063/1.527513.

semanticscholar.org

api.semanticscholar.org

Li, Feifei; Braun, Carol; Garg, Anupam (2013), "The Weyl-Wigner-Moyal Formalism for Spin", Europhysics Letters, 102 (6): 60006, arXiv:1210.4075, Bibcode:2013EL....10260006L, doi:10.1209/0295-5075/102/60006, S2CID 119610178

wolfram.com

mathworld.wolfram.com

Weisstein, Eric W. "Spherical Harmonic". mathworld.wolfram.com. Retrieved 2023-05-10.
Weisstein, Eric W. "Condon-Shortley Phase". mathworld.wolfram.com. Retrieved 2022-11-02.

worldcat.org

search.worldcat.org

Williams, Earl G. (1999). Fourier acoustics : sound radiation and nearfield acoustical holography. San Diego, Calif.: Academic Press. ISBN 0080506909. OCLC 181010993.
Eremenko, Jakobson & Nadirashvili 2007 Eremenko, Alexandre; Jakobson, Dmitry; Nadirashvili, Nikolai (2007), "On nodal sets and nodal domains on S² and R²", Annales de l'Institut Fourier, 57 (7): 2345–2360, doi:10.5802/aif.2335, ISSN 0373-0956, MR 2394544
Zheng Y, Wei K, Liang B, Li Y, Chu X (2019-12-23). "Zernike like functions on spherical cap: principle and applications in optical surface fitting and graphics rendering". Optics Express. 27 (26): 37180–37195. Bibcode:2019OExpr..2737180Z. doi:10.1364/OE.27.037180. ISSN 1094-4087. PMID 31878503.