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. In addi- tion, physics books on quantum mechanics assume knowledge of classical example, Takhtajan begins with Lagrangian and Hamiltonian mechanics. (1) Classical mechanics: Principle of the least action. Lagrangian [1] L. A. Takhtajan, Quantum Mechanics for Mathematicians, American Mathematical. Society.

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If you want to learn quantum mechanics, learn quantum mechanics.

Leon Takhtajan – Wikipedia

Sign up or log in Sign up using Google. Beyond that there is field theory and ever more physics, but the basic stuff is in those three references.

I disagree though not particularly strongly with the comments fro that you should learn classical mechanics first.

Yeah, it’s very mathematical, and it gets to SUSY a bit. It does not seem that anyone has mentioned Hannabuss’s An introduction to quantum theory.

The most important ones I think are:. Shiffrin that this kind of stuff is introduced e. By a clever selection of the material and the clear way of exposing it, the book is recommended for graduate students in mathematics looking for applications in physics, as well as for student in physics desiring to be acquainted, in a rigorous but, at the same time, quick and accessible manner, with the basic mathematical tools used in quantum mathematics.

Same comment as in ivthey sometimes say that something is a cocyle, but explain what this means explicitly. Geometry of Quantum Theory. They also use rather often terminology coming from Lie groups and algebras such as the enveloping algebra of lie algebra and rarely deep facts such as Ado’s theorem.

Shankar explains concepts well, and there is a large focus on examples. His homepage is http: Glad someone actually tried to read it.

Review: Quantum Mechanics for Mathematicians | EMS

I would especially recommend it for people who study mathematics since it’s written from this point quanttum view and not in the sometimes strange physicists language aka no bra-ket notation, no inexact use of mathematical facts etc. This last comment is somewhat tongue-in-cheek.

Numerous problems, from routine to advanced, help the reader to master the subject. Shankar’s “Principles of Quantum Mechanics” that many have mentioned fits the bill. Sign up using Facebook.

Leon Takhtajan

I think there are some excellent recommendations above. Though the courses in the physics departments would be structured for physicists, a lecturer in one of those courses could be a good place to get loaded with references.

Since he is using and for the first time mechanlcs I really enjoyed “Road to Reality” by Roger Penrose. Plus, it’s a good read. I recommend taking a 1 semester course, either graduate or advanced undergraduate, in classical mechanics and then taking a quantum mechanics course. In my opinion Feynman’s Lectures in Physics is great for insight, but it’s a terrible idea to learn anything from it the first time – remember that when Mathematicias actually lectured, most of the freshmen and sophomores the intended audience dropped the course, and were replaced by senior students!

Assuming that you know enough representation theory, I suggest Folland’s QFT book right from the start. Would you like to answer one of these mathemagicians questions instead? However, if you want to solve publishable problems then head towards quantum information: I recommend against Shankar, he is not conceptually very careful. I read somewhere that Lang is mechanica with having no book without one mistake The first chapter of Sakurai for example gives a nice intro to the basic ideas of quantum mechanics.

This sounds pretty good, even if it’s totally different from what I said.

They introduce everything they need, which is hardly anything: