A Mathematical Companion to Quantum Mechanics (Dover Books on Physics) by Shlomo Sternberg (PDF)

Description

This original 2019 work, based on the author’s many years of teaching at Harvard University, examines mathematical methods of value and importance to advanced undergraduates and graduate students studying quantum mechanics. Its intended audience is students of mathematics at the senor university level and beginning graduate students in mathematics and physics. Early chapters address such topics as the Fourier transform, the spectral theorem for bounded self-joint operators, and unbounded operators and semigroups. Subsequent topics include a discussion of Weyl’s theorem on the essential spectrum and some of its applications, the Rayleigh-Ritz method, one-dimensional quantum mechanics, Ruelle’s theorem, scattering theory, Huygens’ principle, and many other subjects.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Although I have a graduate degree in physics, much of the material here is densely mathematical and beyond what I learned or read. This is not a text to try to learn QM with, but if the mathematical formulism of QM is your thing, this will be an excellent resource.

⭐Have only checked a few things, but just open in any page and marvel at the author’s no nonsense approach. Terse, but says what needs to be said and goes directly to the jugular. Certainly can’t be read like a novel, but you will learn an enormous amount if you put in the effort. Very impressive. One can say the same thing about Sternberg’s similar book on differential geometry with physics applications also published by Dover.

⭐Not found.

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