Mathematical Companion to Quantum Mechanics

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.

Aceasta lucrare originala din 2019, bazata pe multi ani de predare a autorului la Universitatea Harvard, examineaza metodele matematice de valoare si importanta pentru studentii avansati si studentii absolventi care studiaza mecanica cuantica. Publicul destinat este studentii la matematica la nivelul universitatii senor si studentii incepatori absolventi la matematica si fizica.