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Phase Transitions and Group Theory
F 2017 . 2018 - 1º semestre
syllabus and bibliography Free energy and statistical ensembles (revision).
Quantum statistics (revision). Order parameters; symmetry breaking; topology. Landau's theory of phase transitions. Correlations, response and dissipations. Abrupt (1st order) and continuous (2nd order) phase transitions. Symmetries (basic concepts). Groups; representation of groups. Irreducible representations; properties of vector and tensor irreducible operators. Applications of group theory. Continuous groups. Bibliography of reference K. HUANG, Statistical Mechanincs, Wiley & Sons, 1987.
L. E. REICHL, A modern course in statistical physics, Univ. of Texas, 1980. N. GOLDENFELD, Lectures on phase transitions and the renormalization group, Addison-Wesley, 1992. J. M. YEOMANS, Statistical Mechanics of phase transitions, Claredon Press, 1992. M. TINKHAM, Group Theory and Quantum Mechanics, Dover (2003) R. McWEENY, Symmetry: an introduction to group theory and its applications, Dover (1963).
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