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Book recommendation: Mathematical treatment 
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#1
May107, 07:33 AM

P: 191

I'm looking for a book on Quantum Mechanics on an introductory level (concerning the physics), which is fairly advanced concerning the mathematics (i.e. some book that does not praise as a mathematical revolution that there actually is something called a dual space to some vector space). Do you have any recommendations?
Best regards and thanks in advance...Cliowa 


#2
May107, 08:23 AM

Mentor
P: 6,226

Another possibility is Prugovecki, which does a lot more functional analysis (and less group theory) than does Sudbery. 


#3
May107, 06:32 PM

Emeritus
Sci Advisor
PF Gold
P: 16,099

If you follow the "links" link at the top of the site, you will eventually come to this site:
http://www.lorentz.leidenuniv.nl/modphys/ 


#4
May307, 07:36 AM

P: 191

Book recommendation: Mathematical treatment



#5
May307, 07:37 AM

P: 191




#6
Aug807, 09:23 PM

P: 85




#7
Sep1407, 09:29 AM

P: 390

Just a question about Prugovecki this is what the description says:
A rigorous, critical presentation of the basic mathematics of nonrelativistic quantum mechanics, this text is suitable for courses in functional analysis at the advanced undergraduate and graduate levels. So am I right in assuming that this is a book on the mathematics that is used in quantum mechanics? Or does it introduce the mathematics and the quantum mechanics? I've had linear algebra, functional analysis and am currently learning Lie algebras and partial differential equations, so I'm looking for some sort of an introduction to quantum mechanics that presupposes the student is comfortable with rigorous mathematics (Or atleast, analysis and algebra) assumes no quantum background. I've heard Mackey is good in that regard. Does anyone have any input? Is Prugovecki such a book? I heard that Landau's book is good, but is it rigorous in the mathematical sense? (i.e. is everything justified in a logical manner?) Thanks. 


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