Logo

Mathematical Foundations of Quantum Mechanics

Small book cover: Mathematical Foundations of Quantum Mechanics

Mathematical Foundations of Quantum Mechanics
by

Publisher: arXiv
Number of pages: 101

Description:
The author reviews the formulation of Quantum Mechanics, and quantum theories in general, from a mathematically advanced viewpoint, essentially based on the orthomodular lattice of elementary propositions, discussing some fundamental ideas, mathematical tools and theorems also related to the representation of physical symmetries.

Home page url

Download or read it online for free here:
Download link
(900KB, PDF)

Similar books

Book cover: Quantization and SemiclassicsQuantization and Semiclassics
by - arXiv
This text is aimed at graduate students in physics in mathematics and designed to give a comprehensive introduction to Weyl quantization and semiclassics via Egorov's theorem. An application of Weyl calculus to Born-Oppenheimer systems is discussed.
(9284 views)
Book cover: Lecture notes on C*-algebras, Hilbert C*-modules, and quantum mechanicsLecture notes on C*-algebras, Hilbert C*-modules, and quantum mechanics
by - arXiv
A graduate-level introduction to C*-algebras, Hilbert C*-modules, vector bundles, and induced representations of groups and C*-algebras, with applications to quantization theory, phase space localization, and configuration space localization.
(15505 views)
Book cover: Lectures on Quantum Mechanics for MathematiciansLectures on Quantum Mechanics for Mathematicians
by - arXiv.org
The main goal of these lectures is introduction to Quantum Mechanics for mathematically-minded readers. The second goal is to discuss the mathematical interpretation of the main quantum postulates: transitions between quantum stationary orbits ...
(5834 views)
Book cover: An Introduction to Microlocal AnalysisAn Introduction to Microlocal Analysis
by - MIT
The origin of scattering theory is the study of quantum mechanical systems. The scattering theory for perturbations of the flat Laplacian is discussed with the approach via the solution of the Cauchy problem for the corresponding perturbed equation.
(13223 views)