Dynamical groups and coexistence phenomena
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).
KeywordsFermion System Bogoliubov Transformation Local Order Parameter Complex Order Parameter Surface Wave Vector
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- (1).See, for example, the review article by Louis Michel, Rev.Mod. Phys. 52, 617 (1980).Google Scholar
- (2).A.O. Barut: Phys. Rev. 135, B839 (1964).Google Scholar
- (3).A.I. Solomon: J. Maths. Phys. 12, 390 (1971).Google Scholar
- (4).P. Broadbridge and C.A. Hurst: Physics 08A, 39 (1981), and P. Broadbridge: Hadronic Journal 4, 879 (1981).Google Scholar
- (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).Google Scholar
- (6).N. Bogoliubov: J. Phys. USSR 11, 23 (1947).Google Scholar
- (7).A.I. Solomon: Annals of the New York Academy of Sciences (to be published).Google Scholar
- (8).A.I. Solomon and J.L. Birman: Physics Letters 88A, 413 (1982).Google Scholar
- (9).M.J. Nass, K. Levin and G.S. Grest: Phys. Rev. Letters 46, 614 (1981).Google Scholar
- (10).A.I. Solomon: Proceedings of IX International Colloquium on Group Theoretical Methods, Mexico. Lecture Notes in Physics 135, page 42 (Springer-Verlag 1980).Google Scholar
- (11).J. L. Birman and A.I. Solomon: Phys. Rev. Letters 49, 230 (1982).Google Scholar
- (12).B. G. Wybourne: “Classical Groups for Physicists”, page 70, (John Wiley, 1974).Google Scholar