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Avron, J. E., Sadun, L., Segert, J., & Simon, B. (1989). Chern numbers, quaternions, and Berry’s phases in Fermi systems. Communications in Mathematical Physics, 124(4), 595–627.

Authors 4
  1. J. E. Avron (first)
  2. L. Sadun (additional)
  3. J. Segert (additional)
  4. B. Simon (additional)
References 41 Referenced 106
  1. Berry, M.V.: Proc. Roy. Soc. London A392, 45 (1984) (10.1098/rspa.1984.0023) / Proc. Roy. Soc. London A by M.V. Berry (1984)
  2. Simon, B.: Phys. Rev. Lett.51, 2167 (1983) (10.1103/PhysRevLett.51.2167) / Phys. Rev. Lett. by B. Simon (1983)
  3. Wilczek, F., Zee, A.: Phys. Rev. Lett.52, 2111 (1984) (10.1103/PhysRevLett.52.2111) / Phys. Rev. Lett. by F. Wilczek (1984)
  4. Mead, C. A.: Phys. Rev. Lett.59, 161 (1987) (10.1103/PhysRevLett.59.161) / Phys. Rev. Lett. by C. A. Mead (1987)
  5. Avron, J., Sadun, L., Segert, J., Simon, B.: Phys. Rev. Lett.61, 1329 (1988) (10.1103/PhysRevLett.61.1329) / Phys. Rev. Lett. by J. Avron (1988)
  6. Avron, J. E., Seiler, R., Yaffe, L. G.: Commun. Math. Phys.110, 110 (1987) (10.1007/BF01209015) / Commun. Math. Phys. by J. E. Avron (1987)
  7. Kato, T.: J. Phys. Soc. J. Jpn.5, 435 (1950) (10.1143/JPSJ.5.435) / J. Phys. Soc. J. Jpn. by T. Kato (1950)
  8. Choquet-Bruhat, Y., DeWitt-Morette, C., Dillard-Bleick, M.: Analysis, Manifolds and Physics, rev ed. Amsterdam: North Holland 1982 / Analysis, Manifolds and Physics by Y. Choquet-Bruhat (1982)
  9. Kobayashi, S., Nomizu, K.: Foundations of differential geometry, vol. I and II. New York: John Wiley 1963, 1969 / Foundations of differential geometry, vol. I and II by S. Kobayashi (1963)
  10. Atiyah, M.F.: Geometry of Yang-Mills fields, Lezioni Fermiane. Pisa: Accademia Nazionale dei Lincei & Scuola Normale Superiore 1979 / Geometry of Yang-Mills fields, Lezioni Fermiane by M.F. Atiyah (1979)
  11. Chern, S. S.: Complex manifolds without potential theory, sec. ed. Berlin, Heidelberg, New York: Springer 1979 (10.1007/978-1-4684-9344-3) / Complex manifolds without potential theory by S. S. Chern (1979)
  12. Zee, A.: Phys. Rev. A38, 1 (1988) (10.1103/PhysRevA.38.1) / Phys. Rev. A by A. Zee (1988)
  13. Tinkham, M.: Group theory and quantum mechanics. New York: McGraw-Hill 1964 / Group theory and quantum mechanics by M. Tinkham (1964)
  14. Bjorken, J. D., Drell, S. D.: Relativistic quantum mechanics. New York: McGraw-Hill 1964; / Relativistic quantum mechanics by J. D. Bjorken (1964)
  15. Itzykson, C., Zuber, J. B.: Quantum field theory. New York: McGraw-Hill 1980 / Quantum field theory by C. Itzykson (1980)
  16. Wigner, E. P.: Göttinger Nachr.31, 546 (1932); Wigner, E. P.: Group Theory. New York: Academic Press 1959 / Göttinger Nachr by E. P. Wigner (1932)
  17. Frobenius, Schur: Berl. Ber., p. 186 (1906)
  18. Dyson, F.: J. Math. Phys.3, 140 (1964) (10.1063/1.1703773) / J. Math. Phys. by F. Dyson (1964)
  19. Mehta, M. L.: Random matrices and the statistical theory of energy levels. New York: Academic Press 1967 / Random matrices and the statistical theory of energy levels by M. L. Mehta (1967)
  20. Kramers, H.A.: Proc. Acad. Amsterdam33, 959 (1930) / Proc. Acad. Amsterdam by H.A. Kramers (1930)
  21. Adams, J.F.: Lectures on Lie Groups. Chicago: University of Chicago Press 1969 / Lectures on Lie Groups by J.F. Adams (1969)
  22. Bröcker, T., tom Dieck, T.: Representations of compact Lie groups. Berlin, Heidelberg, New York: Springer 1985 (10.1007/978-3-662-12918-0) / Representations of compact Lie groups by T. Bröcker (1985)
  23. Sadun, L., Segert, J.: J. Phys. A22, L 111 (1989) (10.1088/0305-4470/22/4/001)
  24. von Neumann, J., Wigner, E.P.: Phys. Zeit.30, 467 (1929) / Phys. Zeit. by J. Neumann von (1929)
  25. Friedland, S., Robbin, J. W., Sylvester, J. H.: On the crossing rule. Commun. Pure Appl. Math.37, 19 (1984) (10.1002/cpa.3160370104) / Commun. Pure Appl. Math. by S. Friedland (1984)
  26. Mermin, N. D.: Rev. Mod. Phys.51, No. 3 (1979) (10.1103/RevModPhys.51.591)
  27. Avron, J., Seiler, R., Simon, B.: Phys. Rev. Lett.51, 51 (1983) (10.1103/PhysRevLett.51.51) / Phys. Rev. Lett. by J. Avron (1983)
  28. Steenrod, N.: The topology of fibre bundles. Princeton: Princeton University Press 1951 (10.1515/9781400883875) / The topology of fibre bundles by N. Steenrod (1951)
  29. Bott, R., Tu, L. W.: Differential forms in algebraic topology. Berlin, Heidelberg, New York: Springer 1982 (10.1007/978-1-4757-3951-0) / Differential forms in algebraic topology by R. Bott (1982)
  30. Herzberg, G., Longuet-Higgins, H. C.: Discuss. Faraday Soc.55, 77 (1963) (10.1039/df9633500077) / Discuss. Faraday Soc. by G. Herzberg (1963)
  31. Milnor, J. W., Stasheff, J. D.: Characteristic classes. Princeton, NJ: Princeton University Press 1974 (10.1515/9781400881826) / Characteristic classes by J. W. Milnor (1974)
  32. Thouless D., et. al.: Phys. Rev. Lett.49, 405 (1982) (10.1103/PhysRevLett.49.405) / Phys. Rev. Lett. by D. Thouless (1982)
  33. Kohmoto, K.: Ann. Phys.160, 343 (1985) (10.1016/0003-4916(85)90148-4) / Ann. Phys. by K. Kohmoto (1985)
  34. Chang, L. N., Liang, Y.: Mod. Phys. L A3, 1839 (1988) (10.1142/S021773238800221X) / Mod. Phys. L A by L. N. Chang (1988)
  35. Atiyah, M. F., Hitchin, N. J., Singer, I. M.: Proc. R. Soc. Lond. A362, 425 (1978) (10.1098/rspa.1978.0143) / Proc. R. Soc. Lond. A by M. F. Atiyah (1978)
  36. Karoubi, M., Leruste, C.: Algebraic topology via differential geometry. Cambridge: Cambridge University Press 1987 / Algebraic topology via differential geometry by M. Karoubi (1987)
  37. Wu. Y. S., Zee, A.: Phys. Lett. B207, 39 (1988) (10.1016/0370-2693(88)90882-9) / Phys. Lett. B by Y. S. Wu (1988)
  38. Chern, S.S., Simons, J.: Ann. Math.99, 48 (1974) (10.2307/1971013) / Ann. Math. by S.S. Chern (1974)
  39. Moody, J., Shapere, A., Wilczek, F.: Phys. Rev. Lett.56, 893 (1986) (10.1103/PhysRevLett.56.893) / Phys. Rev. Lett. by J. Moody (1986)
  40. Tycko R.: Phys. Rev. Lett.58, 2281 (1987) (10.1103/PhysRevLett.58.2281) / Phys. Rev. Lett. by R. Tycko (1987)
  41. Segert, J.: Math. Phys.28, 2102 (1987) (10.1063/1.527422) / Math. Phys. by J. Segert (1987)
Dates
Type When
Created 20 years, 5 months ago (Feb. 25, 2005, 1:44 p.m.)
Deposited 5 years, 4 months ago (April 5, 2020, 7:33 p.m.)
Indexed 3 weeks, 4 days ago (July 28, 2025, 5:37 p.m.)
Issued 35 years, 8 months ago (Dec. 1, 1989)
Published 35 years, 8 months ago (Dec. 1, 1989)
Published Print 35 years, 8 months ago (Dec. 1, 1989)
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@article{Avron_1989, title={Chern numbers, quaternions, and Berry’s phases in Fermi systems}, volume={124}, ISSN={1432-0916}, url={http://dx.doi.org/10.1007/bf01218452}, DOI={10.1007/bf01218452}, number={4}, journal={Communications in Mathematical Physics}, publisher={Springer Science and Business Media LLC}, author={Avron, J. E. and Sadun, L. and Segert, J. and Simon, B.}, year={1989}, month=dec, pages={595–627} }