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Dynamical groups and coexistence phenomena

  • Session IX — Statistical Mechanics
  • Conference paper
  • First Online:
Group Theoretical Methods in Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 180))

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Abstract

This note describes an application of dynamical Lie groups to many body systems exhibiting phase transitions. The specific model exemplified is that of a three-phase many fermion system for which the appropriate groups is SO(6).

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References

  1. See, for example, the review article by Louis Michel, Rev.Mod. Phys. 52, 617 (1980).

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  2. A.O. Barut: Phys. Rev. 135, B839 (1964).

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  3. A.I. Solomon: J. Maths. Phys. 12, 390 (1971).

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  4. P. Broadbridge and C.A. Hurst: Physics 08A, 39 (1981), and P. Broadbridge: Hadronic Journal 4, 879 (1981).

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  5. Standard results on semi-simple complex Lie algebras will be found in most texts, for example; “Lie Groups, Lie Algebras and their Representations”, V.S. Varadarajan (Prentice-Hall, 1974).

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  6. N. Bogoliubov: J. Phys. USSR 11, 23 (1947).

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  7. A.I. Solomon: Annals of the New York Academy of Sciences (to be published).

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  8. A.I. Solomon and J.L. Birman: Physics Letters 88A, 413 (1982).

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  9. M.J. Nass, K. Levin and G.S. Grest: Phys. Rev. Letters 46, 614 (1981).

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  10. A.I. Solomon: Proceedings of IX International Colloquium on Group Theoretical Methods, Mexico. Lecture Notes in Physics 135, page 42 (Springer-Verlag 1980).

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  11. J. L. Birman and A.I. Solomon: Phys. Rev. Letters 49, 230 (1982).

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  12. B. G. Wybourne: “Classical Groups for Physicists”, page 70, (John Wiley, 1974).

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Author information

Authors and Affiliations

  1. Faculty of Mathematics, The Open University, Milton Keynes, UK

    Allan I. Solomon

Authors
  1. Allan I. Solomon
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Editor information

M. Serdaroğlu E. Ínönü

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© 1983 Springer-Verlag

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Solomon, A.I. (1983). Dynamical groups and coexistence phenomena. In: Serdaroğlu, M., Ínönü, E. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 180. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-12291-5_88

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  • DOI: https://doi.org/10.1007/3-540-12291-5_88

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12291-3

  • Online ISBN: 978-3-540-39621-5

  • eBook Packages: Springer Book Archive

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