The Orbit Space Approach to the Theory of Phase Transitions: The Non-Coregular Case

dc.creatorValente, Gianpaolo
dc.date2000-08-02
dc.date.accessioned2026-07-07T02:38:23Z
dc.date.available2026-07-07T02:38:23Z
dc.descriptionWe consider the problem of the determination of the isotropy classes of the orbit spaces of all the real linear groups, with three independent basic invariants satisfying only one independent relation. The results are obtained in the $\hat P$-matrix approach solving a universal differential equation ({\em master equation}) which involves as free parameters only the degrees $d_a$ of the invariants. We begin with some remarks which show how the $\hat{P}$-matrix approach may be relevant in physical contexts where the study of invariant functions is important, like in the analysis of phase spaces and structural phase transitions (Landau's theory).
dc.description7 pages, LaTeX, no figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0008028
dc.identifierhttp://arxiv.org/abs/cond-mat/0008028
dc.identifierProceedings of the 4th Int. School on Theoretical Physics SSPCM96, T. Lulek et al. editors, World Scientific (1997) p. 223-228
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/16647
dc.subjectCondensed Matter
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleThe Orbit Space Approach to the Theory of Phase Transitions: The Non-Coregular Case
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