Quantum Mechanics: An Introduction
by Walter Greiner
One Of The Best Textbooks On Non Relativistic Qm
Quantum Mechanics - An Introduction lays the foundations for the rest of
the course on advanced quantum mechanics and field theory. Starting
from black-body radiation, the photoelectric effect, and wave-particle
duality, Greiner goes on to discuss the uncertainty relations, spin, and
many-body systems; he includes applications to the hydrogen atom and
the Stern-Gerlach and Einstein-de Haas experiments. The mathematics of
representation theory, S matrices, perturbation theory, eigenvalue
problems, and hypergeometric differential equations are presented in
detail, with 84 fully and carefully worked examples and exercises to
consolidate the material. This fourth edition has been revised and makes
the book up-to-date again.
Personal Review: Quantum Mechanics: An Introduction by
Walter Greiner

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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