Advanced Quantum mechanics textbook

[Livingston]

Hello everyone!

I'm looking for an advanced quantum mechanics textbook. I've taken several undergrad quantum courses, but since starting my masters and taking grad courses in noncommutative geometry, functional analysis, and gauge theory to name a few I feel unsatisfied with the level of quantum mechanics I was taught during my undergrad (for example we never used the bra-ket notation or ever discussed eigenstates to name a few).

What kind of textbook would you recommend? I would like something that sort of ties more mathematics into quantum mechanics making it a bit more rigorous than one usually sees in a quantum textbook.

 

[Jorriss]

Sakurai, Modern Quantum Mechanics.

 

[genericusrnme]

+100 for Sakurai!
Sakurai's Modern Quantum Mechanics and his Advanced Quantum Mechanics books are both very nice

Perhaps some of Landau and Lifgarbagez QM books (vol. 3 & 4) wouldn't go astray although they are a little outdated they're still pretty good.

 

[Livingston]

Yeah I was thinking that book or Shankar. I guess Shankar is more of intermediate book?

 

[Jorriss]

Yeah I was thinking that book or Shankar. I guess Shankar is more of intermediate book?

I would say so, but it could easily be a graduate level book too. It has a large scope. I just prefer Sakurai's writing.

 

[George Jones]

You should also consider the books by Ballentine and Isham:

https://www.amazon.com/dp/9810227078/?tag=pfamazon01-20

https://www.amazon.com/dp/1860940013/?tag=pfamazon01-20

 

[Livingston]

Great. Thanks. If that's the same Isham of "Ashtekar and Isham" I may just have to check it out.

 

[Mindscrape]

I have one by Zetilli that I really like. It has a lot of solved problems, so it is good both as a book and as a reference. It isn't super advanced, but neither is it easy, kind of in-between undergrad and grad level. There's some errors, but I actually find that they keep you on your feet.