Titlebook: Quantum Mechanics; Symmetries Walter Greiner,Berndt Müller Textbook 1994Latest edition Springer-Verlag Berlin Heidelberg 1994 Baryon.Charmo

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Mathematical Supplement: Fundamental Properties of Lie Groups,The rotation group is composed of the infinite number of operators (setting ħ=1)

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Mathematical Supplement,Up to now, we have seen various examples of Lie groups, especially unitary (U(.) and SU(.)) groups. Let us see if we can find some common denominator in the structure of their algebras U(.) and SU(.) (algebras are denoted by lower case letters).

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Special Discrete Symmetries,In the last two chapters of this book we return to symmetries which have a general significance in quantum mechanics. We shall begin with the discrete symmetries of space inversion and time reversal.

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Mathematical Excursion: Non-compact Lie Groups,Compact and non-compact Lie groups differ from each other in their essential properties (which will be discussed later), so we should investigate the group quality “compactness” more fully.

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,Proof of Racah’s Theorem,We devote this last chapter to the proof of Racah’s theorem. Its usefulness and power is known to us from Sect. 3.6 and many sections thereafter. Let us first state it.

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Walter Greiner,Berndt MüllerIncludes supplementary material: