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MATHEMATICAL METHODS OF PHYSICS I – 2014

MATHEMATICAL METHODS OF PHYSICS I 2014 THOMAS CREUTZIGABSTRACT. These are lecture notes in progress for Ma Ph 451 MATHEMATICAL PHYSICS I. Thelecture starts with a brief discussion of linear algebra, Hilbert spaces and classical orthogonalpolynomials. Then as an instructive example the Lie groupSU(2)and its Hilbert space of squareintegrable functions will be discussed in detail. The focus of the second part of the lecturewill then be on Lie groups in general, their Lie algebras and its representation theory. Guidingexamples are bothsl(2;R)andsl(3;R). Finally, we discuss how Lie groups, their harmonicanalysis and especially Lie algebras appear in the example of bosonic 23, CREUTZIGCONTENTS1. Introduction42. Linear Vector Linear Transformations and Eigenvectors and Solutions173.

MATHEMATICAL METHODS OF PHYSICS I – 2014 THOMAS CREUTZIG ABSTRACT.These are lecture notes in progress for Ma Ph 451 – Mathematical Physics I. The lecture starts with a brief discussion of linear algebra, Hilbert spaces and …

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