Quantum Math Methods for Quantum Mechanics (QM) Prerequisites

[Jianphys17]

Hi, people
I wondered if as prerequisites for QM, the Kreyszig (for func. analysis) and Hassani's book they be suffices ..
Thank you in advance !

 

[DrClaude]

It depends how deep you want to go in the mathematical formalism of QM, but Hassani is more than enough to go quite far. I don't know the Kreyszig book.

 

[S.G. Janssens]

Hi, people
I wondered if as prerequisites for QM, the Kreyszig (for func. analysis) and Hassani's book they be suffices ..
Thank you in advance !

Kreyszig's book on functional analysis is very good. Chapters 10 and 11 will serve you well as an introduction to the mathematical underpinnings of QM. Should you choose another title, be sure it contains a good discussion of unbounded operators on Hilbert spaces. I don't know the Hassani book.

 

[Demystifier]

Hassani and Kreyszig are very different books, serving very different purposes.

Hassani contains more or less all mathematics that a practical theoretical physicist may need in practical calculations.
Kreyszig is a book specialized in functional analysis, which is not so much needed in practical calculations in physics, but is needed for a mathematically rigorous formulation of quantum mechanics.

There are two kinds of theoretical physicists, those who use mathematics more like engineers and those who use mathematics more like mathematicians. Hassani is for the former kind of physicists, Kreyszig is for the latter.

 

[noir1993]

Kreyszig's book on functional analysis is very good. Chapters 10 and 11 will serve you well as an introduction to the mathematical underpinnings of QM. Should you choose another title, be sure it contains a good discussion of unbounded operators on Hilbert spaces. I don't know the Hassani book.

Which book by Hassani are you talking about? He has one on mathematical physics and another one on mathematical methods.

 

[S.G. Janssens]

Which book by Hassani are you talking about? He has one on mathematical physics and another one on mathematical methods.

I wasn't the one that brought up Hassani, the OP did, so maybe he can answer your question. I do not know his book(s).

 

[noir1993]

I wasn't the one that brought up Hassani, the OP did, so maybe he can answer your question. I do not know his book(s).

I replied to the wrong comment. My bad!

Hi, people
I wondered if as prerequisites for QM, the Kreyszig (for func. analysis) and Hassani's book they be suffices ..
Thank you in advance !

So, if your are talking about Hassani's textbook on mathematical physics, it's more than sufficient, not just for quantum mechanics but several other topics as well.

 

[Jianphys17]

I replied to the wrong comment. My bad!
So, if your are talking about Hassani's textbook on mathematical physics, it's more than sufficient, not just for quantum mechanics but several other topics as well.

Yes, The math physics book !

 

[Demystifier]

Perhaps it should be mentioned that Kreyszig has also written a very practical math book, namely Advanced Engineering Mathematics
https://www.amazon.com/dp/0470458364/?tag=pfamazon01-20
which is much more comparable to the Hassani book(s).