Companion to Quantum Mechanics by Shlomo Sternberg

A Mathematical Companion to Quantum Mechanics by Shlomo Sternberg
Requirements: .ePUB reader, 24.9 Mb
Overview: 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.
Genre: Non-Fiction > Educational

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Curvature in Mathematics and Physics by way of Shlomo Sternberg

Curvature in Mathematics and Physics by way of Shlomo Sternberg
Requirements: .ePUB reader, 15.7 Mb
Overview: This unique Dover textbook is in response to a sophisticated undergraduate route taught by way of the writer for greater than 50 years. It introduces semi-Riemannian geometry and its main bodily software, Einstein’s idea of basic relativity, the use of the Cartan external calculus as a main device. Prerequisites come with linear algebra and complicated calculus. 2012 version.
Genre: Non-Fiction > Educational

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