I've read all the 3 Greiner's books concerning non relativistic Quantum Mechanics (and other on QFT). First I've to underline that you may find many text-errors in those books. (QM: an introduction, QM:Special Chapters, QM:Symmetries): for everybody who is a bit familiar with Mathematics this can not be a big problem. On the second hand, you have to read all the 3 Greiner's books on Q.M. to have a great overview on this matter: every mathematical part is essential but complete. One has to follow and understand most of the calculations inside: this is the only way, generally in Physics, to earn a good Mathematical level, and be able not to concentrate too much on Mathematics while trying to understand the Physics behind. As last point I've to underline that only by reading Greiner's "Relativistic Quantum Mechanics" book, one is able to understand the meaning of introducing Field Theory formalism in "Q.M.:Special Chapters" and will appreciate it a lot: in fact everything is going to be easier on the following matters; apart of this I think it's great to treat Statistical Mechanics with operators as soon as possible, as Greiner does in Q.M.:special chapters. Lot's of importance is given to symmetries and Group theory (Q.M:symmetries) as a modern point of view pretends.
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