Textbook for relativistic quantum mechanics and group theory

[spaghetti3451]

Hi, I am looking for textbooks in relativistic quantum mechanics and group theory.

I have just finished my undergraduate studies in Physics and am looking to specialise in theoretical high-energy physics. Therefore, textbooks in relativistic quantum mechanics and group theory suited for that field of study would be most helpful.

On the top of my head, I can think of Sakurai, Merzbacher, Shankar, but don't they carry extra baggage that are not really useful for a practicing high-energy theorist?

Also, I am thinking of learning group theory from Bincer and Georgi. Thoughts?

 

[vanhees71]

I'd not look at books titled relativistic quantum MECHANICS. Usually these cover outdated concepts using a wave-function approach that is not applicable in relativistic quantum theory. Better get a good book on quantum field theory, e.g.,

M. D. Schwartz, Quantum Field Theory and the Standard Model, Cambridge Univ. Press

 

[dextercioby]

There are 2 books which I like very much when it comes to group theory for physics:

https://www.amazon.com/gp/product/9971966565/?tag=pfamazon01-20

and for a general overview on the symmetry principles (including group theory):

https://www.amazon.com/gp/product/0824712137/?tag=pfamazon01-20

 

[vanhees71]

Another great book on group theory, focused on relativity and the Poincare group is

Sexl, Urbandtke, Relativity, Groups, Particles, Springer

 

[Geofleur]

I'd not look at books titled relativistic quantum MECHANICS. Usually these cover outdated concepts using a wave-function approach that is not applicable in relativistic quantum theory.

I would just like to mention that there is one book that explicitly lays out relativistic quantum mechanics (RQM) (as opposed to quantum field theory (QFT)) in its proper context, and that is Wachter's Relativistic Quantum Mechanics. It shows precisely how far one can get with RQM and why we need QFT.

 

[vanhees71]

Well, this is a great book in showing, why you don't want to do RQM but RQFT ;-)). SCNR.