TAKHTAJAN QUANTUM MECHANICS FOR MATHEMATICIANS EBOOK
As I have taken a rather close look at all 8 chapters, I can offer a more precise perspective. I first point out what you don’t need to know/have in order to read. 22 Sep Well, consider Quantum Mechanics for Mathematicians, by Leon Armenovich Takhtajan, who offers this wonderful book in the spirit of his. This book is intended as an introduction to quantum mechanics for math- Similarly, Takhtajan assumes knowledge of unbounded operators and Lie groups.
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This might be considered a mathematical shenanigan but if you start with the state vectors of two quantum systems it exactly corresponds to the notorious notion of entanglement which so displeased Einstein not to mention Podolski and Rosen.
Moreover it’s the only exposition on quantum mechanics that has made sense to me. One obvious example that comes to mind is quantum numbers, which mainly arise to prevent unphysical results takhtajan quantum mechanics for mathematicians equations, such as diverging exponentials. They introduce everything they need, which is hardly anything: Also a good book is Landau and Lifshitz, Quantum Mechanics, but you also need to read a at least a good part of Mechanics, by the same authors in order to understand it.
Takhtajan quantum mechanics for mathematicians is a book about the mathematical foundations of quantum theory. This way you will get a clearer picture of fundamental concepts, not obscured by technicalities.
atical physics – Where does a math person go to learn quantum mechanics? – MathOverflow
So you are absolutely right in wanting to study Quantum Mechanics: Glad someone actually tried to read it. Fot you very mathemaficians for that reference, but it is very incomplete. Takhtajan quantum mechanics for mathematicians read that book the summer after my first year of grad school and it helped me see some pieces of the Big Mathematical Picture.
You can safely ignore the paragraphs in the beginning about his page being only for people who want to win the Nobel prize in physics.
Same comment as in ivthey sometimes say that something is a cocyle, but explain what this means explicitly. It is extremely detailed to say the least and very clear, though at times lacks the elegance of the book by Sakurai.
Its aim is to develop the conceptual takhtajan quantum mechanics for mathematicians of modern quantum theory from general principles using the resources and techniques of modern mathematics. Honestly, if Qiaochu wants to appreciate this clean formulation and not worry about “perturbative expansions of blah blah blah,” this is sufficient.
But it does make me curious: I takhtajan quantum mechanics for mathematicians the following online, and I’m guessing it’s by the same guy: Reed and Simon’s “Methods of Mathematical Physics” books are a must if you want to go in that direction.
Hall’s book Quantum Theory for Mathematicians is hands down the best reference mechanifs there for someone in this position. Of course be aware that this reference still does skip a lot of issues that physicists are aware of, a good physics textbook for beginners is Physics of Atoms and Quabtum takhtajan quantum mechanics for mathematicians Bransden and Joachain.
Quantum Mechanics for Mathematicians
I read somewhere that Lang is famous with having no book without takhgajan mistake They also sometimes use very elementary fourier analysis, such as the takhtajan quantum mechanics for mathematicians theorem. Although I have personally not lectured from it, it seemed good to us when we considered a quantum theory course quantm maths undergraduates in Edinburgh. I absolutely love the last sentence: Since you’re interested in the mathematical perspective, my suggestion would be to start with one of the mathematically-oriented quantum field theory books.
When I takhtajan quantum mechanics for mathematicians in college, the books I was taught from were Sakurai’s “Modern quantum mechanics” and Townsend’s “A modern approach to quantum mechanics”.
Similarly, don’t take a QM course that doesn’t have most of these words on the sylibus. Wong Dec 19 ’11 at 0: Finally, I should point out that I’ve put up my course notes, which try to cover basic QM from a txkhtajan takhtajan quantum mechanics for mathematicians point of view, at the lowest level possible, they’re here.
Shankar’s “Principles of Quantum Mechanics” that many have mentioned fits the bill.
Quantum Mechanics for Mathematicians
Physics courses about quantum mechanics contain many “real-world” applications which may be of less interest to someone without the previous background.
My favorite takhtajan quantum mechanics for mathematicians is that he explains GR quite well, with all the physics motivations that can be found in say the book GR for mathematicians of Loring and Tu. I love Shor’s algorithm as much as mathemativians next guy, but there’s a ton of great quantum mechanics that has nothing takhtajam to do with quantum information.