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Symmetry in condensed matther physics

  • Louis Michel
Group Theory
Part of the Lecture Notes in Physics book series (LNP, volume 153)

Keywords

Order Phase Transition Finite Subgroup Invariant Subgroup Topological Classification Crystallographic Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    E. BROWN, R. BÜLOW, J. NEUBÜSSER, H. WONDRATSCHEK, H. ZASSENHAUS. Crystallographic groups of Four-dimensional Space. John Wiley & Sons, New York (1978).Google Scholar
  2. [2]
    R.L.E. SCHNARTZENBERGER, N-dimensional Crystallography. Pitman Publishing, London (1979).Google Scholar
  3. [3]
    J. NEUBUSSER, W. PLESKEN, H. WONDRATSCHEK. Match 10 (1981) 77 (Match = Communications in Mathematical Chemistry = MATCDY).Google Scholar
  4. [4]
    A.D. MICHELL, H.M. ONDIK, B.B. MOLINO. J. Phys. Chem. Ref. Data 6 (1977) 675.Google Scholar
  5. [5]
    J. BIRMAN. Theory of Crystal Space Groups and Infrared and Riemann Lattice Processes of Insulating Crystals. Handbuch der Physik, Vol. 25/2b Springer (1974).Google Scholar
  6. [6]
    A.P. CRACKNELL, Advances in Physics 23 (1974) 673.Google Scholar
  7. [7]
    G.L. BIR, G.E. PINCUS. Symmetry and Strauss-Induced effects in semi-conductors. Translations, Wiley & Sons, New York (1974).Google Scholar
  8. [8]
    F. SEITZ, Ann. Math. 37 (1936) 17.Google Scholar
  9. [9]
    L.P. BOUCKAERT, R. SMOLUCHOWSKI, E.P. WIGNER. Phys. Rev. 50 (1936) 58.Google Scholar
  10. [10]
    D.K. FADDEYEV. Tables of the principal unitary representations of the Fedorov groups (Acad. Sci. USSR) Translation Pergamon, New York (1964).Google Scholar
  11. [11]
    D. KOVALEV. Irreducible representations of space groups, Translation Gordon & Breach, New York (1965).Google Scholar
  12. [14]
    S.C. MILLER, W.F. LOVE, Irreducible representations of space groups and corepresentations of magnetic space groups. Pruett. Boulder, Colorado (1967).Google Scholar
  13. [15]
    J. ZAK, A. CASHER, M. GLUCK, Y.G.GUR.The irreducible representations of space groups. Benjamin, New York (1969).Google Scholar
  14. [14]
    C.J. BRADLEY, A.P. CRACKNELL. The mathematical theory of symmetry in solids. Clarendon Press, Oxford (1972).Google Scholar
  15. [15]
    A.P. CRACKNELL, B.L. DAVIES, S.C. MILLER, W.F. LOVE. General Introduction and Tables of Irreducible Representations of Space Groups. Plenum Press, London (1979).Google Scholar
  16. [16]
    L. MICHEL, J. MOZRZYMAS, Match 10 (1981) 223.Google Scholar
  17. [17]
    H. JONES, The Theory of Brillouin zones and electronic states in crystals. North Holland, Amsterdam (1962).Google Scholar
  18. [18]
    H. POULET, J.P. MATHIEU, Spectre de vibrations et symétrie des cristaux. §IV. 4.3. Gordon & Breach, Paris (1970).Google Scholar
  19. [19]
    L. MICHEL in“Group theoretical methods in Physics” p. 75 Academic Press, New York (1977).Google Scholar
  20. [20]
    T.A. SPRINGER. Invariant Theory. Lect. Notes in Math. 585 Springer Verlag (1977).Google Scholar
  21. [21]
    R.P. STANLEY. Bull. Am. Math. Soc. I (1979) 475.Google Scholar
  22. [22]
    L. MICHEL. CERN preprint TH-2716 or in Views of Contemporary Physics, CNRS, Paris (1980).Google Scholar
  23. [23]
    G. SCHWARZ. Topology 14 (1975) 63.Google Scholar
  24. [24]
    T. MOLIEN, Sitzungber König Preuss.Akad.Wiss (1897) 1152.Google Scholar
  25. [25]
    Communications to the Bielefeld workshop published in Match 9 (1980), 10 (1981).Google Scholar
  26. [26]
    G.C. DUBBELDAM, P.M. de WOLFF, Acta Cryst. B 25 (1969) 2665.Google Scholar
  27. [27]
    W. Van AALST, J. Den HOLLANDER, W.J.A.M. PETERSE, P.M. de WOLFF. Acta Cryst. 32 Google Scholar
  28. [28]
    A. JANNER, T. JANSSEN, Phys. Rev. BI5 (1977) 643, Physica 99A (1979) 47, Acta Cryst. A 36 (1980) 399 and 408.Google Scholar
  29. [29]
    L.D. LANDAU. Phys. Z. Soviet ll (1937) 26, 545 (see also Landau collected Papers, Pergamon, Oxford (1965)).Google Scholar
  30. [30]
    L.D. LANDAU, E.M. LIFSCHITZ. Statistical Physics, Transl. Pergamon, Oxford (1965).Google Scholar
  31. [31]
    E.M. LIFSCHITZ, Soviet J. Phys. 6 (1942) 61, 251.Google Scholar
  32. [32]
    D. MUKAMEL. Phys. Rev. Lett. 34 (1975) 481.Google Scholar
  33. [33]
    S.A. BRAZOVSKII, I.E. DZALOSHINSKII. J.E.T.P. Lett. 21 (1975) 164.Google Scholar
  34. [34]
    V.A. ALESSANDRINI, A.P. CRACKNELL, J.A. PRZYSTAWA. Comm. Phys. 1 (1976) 51.Google Scholar
  35. [35]
    D. MUKAMEL, S. KRINSKY. Phys. Rev. B 13 (1976) 4065, 5078.Google Scholar
  36. [361.
    P. BAK, D. MUKAMEL. Phys. Rev. B 13 (1976) 5086.Google Scholar
  37. [37]
    E. DOMANY, D. MUKAMEL, M.E. FISHER. Phys. Rev. B 15 (1977) 5432.Google Scholar
  38. [38]
    C. HERMANN. Z. Kristallogr. 79 (1931) 180.Google Scholar
  39. [39]
    N.V. BELOV, T.N. TARAKHOVA. Kristallografia I (1956)4. English translation in A.V. SCHUBNIKOV and N.V. BELOIT, Coloured Symmetry, Pergamon Press, New York (1964).Google Scholar
  40. [40]
    D. KASTLER, G. LOUPIAS, M. MEKHBOUT, L. MICHEL. Comm. Math. Phys. 27 (1972) 195.Google Scholar
  41. [41]
    S. GOSHEN, D. MUKAMEL, S. SHTRIKMAN, Mol. Cryst. Liq. Cryst. 31 (1975) 171.Google Scholar
  42. [42]
    M. KLEMAN, Points, Lignes, Parois. I and II, Edit. de Physique, Paris (1978).Google Scholar
  43. [43]
    M. KLEMAN, L. MICHEL. Phys. Rev. Lett. 40 (1978) 1387.Google Scholar
  44. [44]
    M. KLEMAN. J. Phys. (Paris) Lett. 38 (1977) 2–199.Google Scholar
  45. [45]
    G. TOULOUSE, M. KLEMAN. J. Phys. (Paris) Lett. 37 (1976) L. 149.Google Scholar
  46. [46]
    M. KLEMAN, L. MICHEL, G. TOULOUSE. J. Phys. (Paris) Lett. 38 (1977) L–195.Google Scholar
  47. [47]
    G.E. VOLOVIK, V.P. MINEEV. J.E.T.P. Pisma Red. 23 (1976) 647, 24 (1976) 605.Google Scholar
  48. [48]
    Yu.S. TYUPKIN, V.A. FATEEV, A.S. SHVARTS. J.E.T.P. Lett. 21 (1975) 42.Google Scholar
  49. [49]
    M.I. MONASTIRSKII, A.M. PERELEMOV. J.E.T.P. Lett. 21 (1975) 43.Google Scholar
  50. [50]
    Y. BOULIGAND, B. DERRIDA, V. POENARU, Y. POMEAU, G. TOULOUSE. J. Phys. (Paris) 39 (1978) 863.Google Scholar
  51. [51]
    V. POENARU. Les Houches, Session 31, Ill-condensed matter, 266, North-Holland (1979).Google Scholar
  52. [52]
    N.D. MERMIN. Rev. Mod. Phys. 51 (1979) 591.Google Scholar
  53. [53]
    L. MICHEL. Rev. Mod. Phys. 52 (1980) 617.Google Scholar
  54. [54]
    G. TOULOUSE. Phys. Rep. 49 (1979) 267.Google Scholar
  55. [55]
    M. KLEMAN, J.F. SADOC. J Phys. (Paris) Lett. 40 (1979) L–569.Google Scholar

Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • Louis Michel
    • 1
  1. 1.Institut des Hautes Etudes ScientifiquesBures-sur-YvetteFrance

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