Quantum Statistical Mechanics and Lie Group Harmonic Analysis (Lie Groups ; V. 10) - ISBN:0915692309

Quantum Statistical Mechanics and Lie Group Harmonic Analysis (Lie Groups ; V. 10)

Date: 23 May 2011, 16:54

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Ever since the classic treatises by Weyl and Wigner, it has been clear that there is a close link between group representation theory and quantum mechanics. This connection remained dormant for many years; physicists preferred to "invent" their own version, while mathematicians were busy working out the "pure" theory of group representations. Recently, this relation has come back into the foreground.
In elementary particle physics, groups have been impressively useful for phenomenology; such prominent topics as "unitary symmetry", "quarks", and "broken symmetry" have a group theoretic meaning. Recently, in the ideas of "gauge fields" the infinite dimensional groups originally defined and studied by Lie and Cartan have entered.

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