Phases and conjugacy classes

  • A. I. Solomon
Atomic, molecular, solid-State, and statistical physics
Part of the Lecture Notes in Physics book series (LNP, volume 135)


The preceding section is a synopsis of the results obtained by a conjugacy class analysis of the SGA for an anisotropic fermi superfluid. I apologize for the jargon used in describing the various experimentally observed states; however, there is enough correspondence between subalgebras and phases to suggest that the relationship is not merely fortuitous. In each case the experimentally observed state reduces to an so(3) subalgebra-; this is reasonable as, being of rank 1, such an algebra is associated with one observable (Casimir operator). This observable corresponds to the single energy gap associated with the state.


Conjugacy Class Cartan Subalgebra Casimir Operator Superfluid Helium Pairwise Intersection 
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    A. I. Solomon, J. Math. Phys. 12, 390 (1971).CrossRefADSGoogle Scholar
  2. (2).
    A. I. Solomon, Annals N.Y. Academy of Sciences (to be published, 1980).Google Scholar
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    A. J. Leggett, Rev. Mod. Phys. 47, 331 (1974).CrossRefADSGoogle Scholar
  4. (4).
    A. I. Solomon, Proceedings of the VIIIth International Colloquium on Group Theoretical Methods in Physics, Israel; page 357 (1979).Google Scholar

Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • A. I. Solomon
    • 1
  1. 1.The Open UniversityMilton KeynesU.K.

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