Geometric phase (English Wikipedia)

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

Last modified: 10:07:30, 19 October 2026 (UTC)

Ref.Un. Ref.Website

Global rank English rank

1513doi.org

2^nd place

119adsabs.harvard.edu

14^th place

9^th place

75semanticscholar.org

15^th place

8^th place

44arxiv.org

49^th place

31^st place

22aps.org

1,264^th place

951^st place

11volumesdirect.com

low place

11archive.org

6^th place

11worldcat.org

4^th place

11nih.gov

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adsabs.harvard.edu (Global: 14^th place; English: 9^th place)

ui.adsabs.harvard.edu

Solem, J. C.; Biedenharn, L. C. (1993). "Understanding geometrical phases in quantum mechanics: An elementary example". Foundations of Physics. 23 (2): 185–195. Bibcode:1993FoPh...23..185S. doi:10.1007/BF01883623. S2CID 121930907.
H. C. Longuet Higgins; U. Öpik; M. H. L. Pryce; R. A. Sack (1958). "Studies of the Jahn-Teller effect .II. The dynamical problem". Proc. R. Soc. A. 244 (1236): 1–16. Bibcode:1958RSPSA.244....1L. doi:10.1098/rspa.1958.0022. S2CID 97141844.See page 12
M. V. Berry (1984). "Quantal Phase Factors Accompanying Adiabatic Changes". Proceedings of the Royal Society A. 392 (1802): 45–57. Bibcode:1984RSPSA.392...45B. doi:10.1098/rspa.1984.0023. S2CID 46623507.
Jens von Bergmann; HsingChi von Bergmann (2007). "Foucault pendulum through basic geometry". Am. J. Phys. 75 (10): 888–892. Bibcode:2007AmJPh..75..888V. doi:10.1119/1.2757623.
Somerville, W. B. (1972). "The Description of Foucault's Pendulum". Quarterly Journal of the Royal Astronomical Society. 13: 40. Bibcode:1972QJRAS..13...40S.
Hart, John B.; Miller, Raymond E.; Mills, Robert L. (1987). "A simple geometric model for visualizing the motion of a Foucault pendulum". American Journal of Physics. 55 (1): 67–70. Bibcode:1987AmJPh..55...67H. doi:10.1119/1.14972.
N. A. Sinitsyn; I. Nemenman (2007). "The Berry phase and the pump flux in stochastic chemical kinetics". Europhysics Letters. 77 (5) 58001. arXiv:q-bio/0612018. Bibcode:2007EL.....7758001S. doi:10.1209/0295-5075/77/58001. S2CID 11520748.
C. Z. Ning, H. Haken (1992). "Geometrical phase and amplitude accumulations in dissipative systems with cyclic attractors". Phys. Rev. Lett. 68 (14): 2109–2122. Bibcode:1992PhRvL..68.2109N. doi:10.1103/PhysRevLett.68.2109. PMID 10045311.
C. Z. Ning, H. Haken (1992). "The geometric phase in nonlinear dissipative systems". Mod. Phys. Lett. B. 6 (25): 1541–1568. Bibcode:1992MPLB....6.1541N. doi:10.1142/S0217984992001265.

aps.org (Global: 1,264^th place; English: 951^st place)

link.aps.org

Aharonov, Y.; Anandan, J. (1987-04-20). "Phase change during a cyclic quantum evolution". Physical Review Letters. 58 (16): 1593–1596. doi:10.1103/PhysRevLett.58.1593.
Band, Y. B.; Kuzmenko, Igor; Avishai, Yshai (2025-03-27). "Geometric phases in optics: Polarization of light propagating in helical optical fibers". Physical Review A. 111 (3). arXiv:2407.19425. doi:10.1103/PhysRevA.111.033530. ISSN 2469-9926.

archive.org (Global: 6^th place; English: 6^th place)

Wilczek, F.; Shapere, A., eds. (1989). Geometric Phases in Physics. Singapore: World Scientific. p. 4.

arxiv.org (Global: 49^th place; English: 31^st place)

F. Suzuki; N. A. Sinitsyn (2025). "Geometric adiabatic angle in anisotropic oscillators". American Journal of Physics. 93 (12): 951–959. arXiv:2506.00559. doi:10.1119/5.0270675.
Band, Y. B.; Kuzmenko, Igor; Avishai, Yshai (2025-03-27). "Geometric phases in optics: Polarization of light propagating in helical optical fibers". Physical Review A. 111 (3). arXiv:2407.19425. doi:10.1103/PhysRevA.111.033530. ISSN 2469-9926.
N. A. Sinitsyn; I. Nemenman (2007). "The Berry phase and the pump flux in stochastic chemical kinetics". Europhysics Letters. 77 (5) 58001. arXiv:q-bio/0612018. Bibcode:2007EL.....7758001S. doi:10.1209/0295-5075/77/58001. S2CID 11520748.
For a tutorial, see Jiamin Xue: "Berry phase and the unconventional quantum Hall effect in graphene" (2013).

doi.org (Global: 2^nd place; English: 2^nd place)

Solem, J. C.; Biedenharn, L. C. (1993). "Understanding geometrical phases in quantum mechanics: An elementary example". Foundations of Physics. 23 (2): 185–195. Bibcode:1993FoPh...23..185S. doi:10.1007/BF01883623. S2CID 121930907.
S. Pancharatnam (1956). "Generalized Theory of Interference, and Its Applications. Part I. Coherent Pencils". Proc. Indian Acad. Sci. A. 44 (5): 247–262. doi:10.1007/BF03046050. S2CID 118184376.
H. C. Longuet Higgins; U. Öpik; M. H. L. Pryce; R. A. Sack (1958). "Studies of the Jahn-Teller effect .II. The dynamical problem". Proc. R. Soc. A. 244 (1236): 1–16. Bibcode:1958RSPSA.244....1L. doi:10.1098/rspa.1958.0022. S2CID 97141844.See page 12
M. V. Berry (1984). "Quantal Phase Factors Accompanying Adiabatic Changes". Proceedings of the Royal Society A. 392 (1802): 45–57. Bibcode:1984RSPSA.392...45B. doi:10.1098/rspa.1984.0023. S2CID 46623507.
Aharonov, Y.; Anandan, J. (1987-04-20). "Phase change during a cyclic quantum evolution". Physical Review Letters. 58 (16): 1593–1596. doi:10.1103/PhysRevLett.58.1593.
G. Herzberg; H. C. Longuet-Higgins (1963). "Intersection of potential energy surfaces in polyatomic molecules". Discuss. Faraday Soc. 35: 77–82. doi:10.1039/DF9633500077.
F. Suzuki; N. A. Sinitsyn (2025). "Geometric adiabatic angle in anisotropic oscillators". American Journal of Physics. 93 (12): 951–959. arXiv:2506.00559. doi:10.1119/5.0270675.
Jens von Bergmann; HsingChi von Bergmann (2007). "Foucault pendulum through basic geometry". Am. J. Phys. 75 (10): 888–892. Bibcode:2007AmJPh..75..888V. doi:10.1119/1.2757623.
Hart, John B.; Miller, Raymond E.; Mills, Robert L. (1987). "A simple geometric model for visualizing the motion of a Foucault pendulum". American Journal of Physics. 55 (1): 67–70. Bibcode:1987AmJPh..55...67H. doi:10.1119/1.14972.
Band, Y. B.; Kuzmenko, Igor; Avishai, Yshai (2025-03-27). "Geometric phases in optics: Polarization of light propagating in helical optical fibers". Physical Review A. 111 (3). arXiv:2407.19425. doi:10.1103/PhysRevA.111.033530. ISSN 2469-9926.
N. A. Sinitsyn; I. Nemenman (2007). "The Berry phase and the pump flux in stochastic chemical kinetics". Europhysics Letters. 77 (5) 58001. arXiv:q-bio/0612018. Bibcode:2007EL.....7758001S. doi:10.1209/0295-5075/77/58001. S2CID 11520748.
C. Z. Ning, H. Haken (1992). "Geometrical phase and amplitude accumulations in dissipative systems with cyclic attractors". Phys. Rev. Lett. 68 (14): 2109–2122. Bibcode:1992PhRvL..68.2109N. doi:10.1103/PhysRevLett.68.2109. PMID 10045311.
C. Z. Ning, H. Haken (1992). "The geometric phase in nonlinear dissipative systems". Mod. Phys. Lett. B. 6 (25): 1541–1568. Bibcode:1992MPLB....6.1541N. doi:10.1142/S0217984992001265.

nih.gov (Global: 5^th place; English: 5^th place)

pubmed.ncbi.nlm.nih.gov

C. Z. Ning, H. Haken (1992). "Geometrical phase and amplitude accumulations in dissipative systems with cyclic attractors". Phys. Rev. Lett. 68 (14): 2109–2122. Bibcode:1992PhRvL..68.2109N. doi:10.1103/PhysRevLett.68.2109. PMID 10045311.

semanticscholar.org (Global: 15^th place; English: 8^th place)

api.semanticscholar.org

Solem, J. C.; Biedenharn, L. C. (1993). "Understanding geometrical phases in quantum mechanics: An elementary example". Foundations of Physics. 23 (2): 185–195. Bibcode:1993FoPh...23..185S. doi:10.1007/BF01883623. S2CID 121930907.
S. Pancharatnam (1956). "Generalized Theory of Interference, and Its Applications. Part I. Coherent Pencils". Proc. Indian Acad. Sci. A. 44 (5): 247–262. doi:10.1007/BF03046050. S2CID 118184376.
H. C. Longuet Higgins; U. Öpik; M. H. L. Pryce; R. A. Sack (1958). "Studies of the Jahn-Teller effect .II. The dynamical problem". Proc. R. Soc. A. 244 (1236): 1–16. Bibcode:1958RSPSA.244....1L. doi:10.1098/rspa.1958.0022. S2CID 97141844.See page 12
M. V. Berry (1984). "Quantal Phase Factors Accompanying Adiabatic Changes". Proceedings of the Royal Society A. 392 (1802): 45–57. Bibcode:1984RSPSA.392...45B. doi:10.1098/rspa.1984.0023. S2CID 46623507.
N. A. Sinitsyn; I. Nemenman (2007). "The Berry phase and the pump flux in stochastic chemical kinetics". Europhysics Letters. 77 (5) 58001. arXiv:q-bio/0612018. Bibcode:2007EL.....7758001S. doi:10.1209/0295-5075/77/58001. S2CID 11520748.

volumesdirect.com (Global: low place; English: low place)

Molecular Symmetry and Spectroscopy, 2nd ed. Philip R. Bunker and Per Jensen, NRC Research Press, Ottawa (1998) ISBN 9780660196282

worldcat.org (Global: 4^th place; English: 4^th place)

search.worldcat.org

Band, Y. B.; Kuzmenko, Igor; Avishai, Yshai (2025-03-27). "Geometric phases in optics: Polarization of light propagating in helical optical fibers". Physical Review A. 111 (3). arXiv:2407.19425. doi:10.1103/PhysRevA.111.033530. ISSN 2469-9926.

Geometric phase (English Wikipedia)

adsabs.harvard.edu (Global: 14th place; English: 9th place)

ui.adsabs.harvard.edu

aps.org (Global: 1,264th place; English: 951st place)

link.aps.org

archive.org (Global: 6th place; English: 6th place)

arxiv.org (Global: 49th place; English: 31st place)

doi.org (Global: 2nd place; English: 2nd place)

nih.gov (Global: 5th place; English: 5th place)