A Mathematical Companion to Quantum Mechanics (Dover Books on Physics)

Book Details

• Author: Shlomo Sternberg

• Publisher: Dover

• Binding: Paperback

• Number of Pages: 352

• Release Date: 20-03-2019

• ISBN: 9780486826899

• Package Dimensions: 8.9 x 6.0 x 0.6 inches

• Languages: English

About The Book
Mathematical Methods in Quantum Mechanics by Shlomo Sternberg is an advanced-level text, designed primarily for senior university students and beginning graduate students studying mathematics and physics, particularly in the area of quantum mechanics.

The book is rooted in Shlomo Sternberg's extensive teaching experience at Harvard University and presents a systematic approach to the mathematical techniques that are crucial for understanding quantum mechanics.

Early chapters cover essential topics such as the Fourier transform, the spectral theorem for bounded self-adjoint operators, unbounded operators, and semigroups. Later sections dive into more advanced topics, including Weyl's theorem on the essential spectrum, its applications, Rayleigh-Ritz method, one-dimensional quantum mechanics, Ruelle's theorem, scattering theory, and Huygens' principle.

This book is an invaluable resource for students seeking to gain a strong mathematical foundation for advanced studies in quantum mechanics.