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  L. A. Takhtajan, Quantum Mechanics for Mathematicians, American Mathematical. Society.
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A Time-dependent Perspective enough as a really fantastic resource for learning how practicing physicists and chemists actually do these calculations, beyond the really simplistic calculations presented in most introductory texts.
Don’t read it, my advisor said that it sometimes contain errors that could be catched only by experts. Having said that, I echo others’ answers where they suggest trying to develop a “physical” intuition as well.
Publication Month and Year: It can be read without serious knowledge of electromagnetism and classical mechanics. What were the reasons for their opposition?
Print Price 3 Label: It’s good to learn what the hydrogen atom really is, but frankly learning about Helium in a physics textbook with unjustified simplifying approximations isn’t very interesting for mathematicians. Therefore exploring offline resources in this case could be especially fruitful. I agree with Scott firmly here. I want to know the math that is required to read Takhtajan’s “Quantum Mechanics for Mathematicians”.
I haven’t Feynman’s lectures in detail, although I like his section on measurements. Hall’s book Quantum Theory for Mathematicians is hands down the best reference out there for someone rakhtajan this position. Print Price 2 Label: Quantum Mechanics qjantum Mathematicians.
Math packaged as “physics” sounds alright to me!
Leon Takhtajan – Wikipedia
PS – Hopefully suitable group: Seconded and was going to be my answer. I took undergraduate mecanics mechanics as the only Physics class I took in college. This is mentioned in the preface. Dual Price 2 Label: If you want to actually analyze atoms besides hydrogen then it’s going to be a quite a while before you can do it rigorously.
Since he is using and for the first time formulating! I’ve tried to read that book. Quantum Mechanics for Mathematicians This book is, in a sense, a continuation of the book by L. This list comes from Takhtajan recommendation of courses needed for the class:.
After that it may be usefull to look into Hatfield’s “Quantum Field theory of point particles and strings” which Witten recommends.
Review: Quantum Mechanics for Mathematicians | EMS
I wholeheartedly agree with the idea that you should not begin with an overly mathematical course – basically all the essential features of QM can be learned in the context of quantum information and finite-dimensional systems, without delving into the subtleties of functional analysis. My favourite part was solving for the energy levels of the hydrogen atom using a bit of linear algebra and not a single partial differential equation. And my second lifetime. I second what Oliver says; for a lot of the text you merely have to understand the relevant definitions.
I would recommend to the read the relevant chapters in Lee’s introduction smooth manifolds, or in an equivalent source. It’s better than Griffiths’ book for a math person. It could be the geometry, or functional analysis, or representation theory, or semiclassical limit, or complexity theory A book on quantum theory from someone who had an enormous impact on qjantum subject, it’s very clear and quantum mechanics is cleanly developed and motivated from scratch.
You want to learn how physicists think and how they use this stuff to come up with real physical predictions.
I initially learnt a lot of “quantum chemistry” ie, learn everything there is to know about hydrogen, then helium, then berrylium, etc even before I knew much maths. I have never found the focus to finish it. At this level quantum mechanics is an application of linear algebra, so well suited for mathematics students. I, also, visited his course website at Stony Brook University and this is what I found.
I cannot recommend Tannor’s Introduction to Quantum Mechanics: When I was in college, the books I was mathemahicians from were Sakurai’s “Modern quantum mechanics” and Townsend’s “A modern approach to quantum mechanics”. Also, I don’t think it would be the best idea for the Mevhanics to try to learn the material ahead of time, but rather they should look it up as needed. However, I do know a little representation theory and a little functional analysis, and I like q-analogues!
Note that Munkres was listed in the core courses, but since I mentioned it up top, I neglected it in this list. I found the following online, and I’m guessing it’s by the same guy: I would also highly recommend newer textbooks in physical chemistry as a perhaps less obvious place to look for excellent introductions to quantum mechanics – as Dirac famously said once, it’s really the foundation for all of chemistry.
Takhtajan’s fairly recent “Quantum Mechanics for Mathematicians” should suit the bill. Theoretical physics as a challenge. This is masterfully covered in the classic book by Edmonds.
Quantum Mechanics for Mathematicians
Mathsmaticians first 60 or so pages of Folland’s “Quantum Field Theory” are an excellent introduction to physics in general and QM in particular and the rest of the book is a great QFT textbook.
Author s Product display: This includes the Feynman path integral approach to quantum mechanics, integration in functional spaces, the relation between Feynman mathemxticians Wiener integrals, Gaussian integration and regularized determinants of differential operators, fermion systems and integration over anticommuting Grassmann variables, supersymmetry and localization in loop spaces, and supersymmetric derivation of the Atiyah-Singer formula for the index of the Dirac operator.
I recommend Elliott Lieb’s Analysis GSM textbook – on the surface, it looks like it’s about functional analysis, but it’s secretly also a text on quantum mechanics! It’s not about lack of rigor, it’s dealing with non-solvable systems e. I just looked through Lectures on Quantum Mechanics by Leon Takhtajan, and from my skimming, it appears you need to have a good understanding of: Assuming that you know enough representation theory, I suggest Folland’s QFT book right from the start.