Mathematical Concepts of Quantum Mechanics

by Stephen J. Gustafson

The book gives a streamlined introduction to quantum mechanics and describes the basic mathematical structures underpinning it. From the reviews: "This book is an introduction to the mathematics of quantum mechanics....The strength of the book is where it shows how the mathematical treatment of quantum mechanics brings insights to physics....It will be useful to the experienced reader as a guide to the impressive recent advances in mathematical quantum mechanics." --SIAM REVIEW

Genres: Mathematics, Physics, Quantum Mechanics

301 pages, Paperback

First published July 28, 2003

Reviews

[Erickson · Rating 4 out of 5]

Partial reading on chapter 1-5 and 9.14. I was mainly interested in basic notion and quick introduction to bounded operators, self-adjoint operators, unitarity, spectral mapping, trace class operators, etc and less so on actual quantum mechanics of scattering states etc. It turned out useful for those chapters, because it got me into what I wanted pretty quickly and less daunting than swallowing a graduate text in mathematics (which may be useful if I have time and need dedication for it). May revisit again one day.

[Jay(neel) · Rating 4 out of 5]

i’ve read the first 10 chapters + chapter 25,26 of this and im counting it. Will have read first 17-20 by end of sem.

Pros:
- readable
- mostly interesting
- lends itself as a good reference text with some explanations

cons
- no solutions to selected problems.

Overall, this book (or a book like this) is a must read after Griffiths. Definitely gives good insights to the role of functional analysis in QM.