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: Guide to Mathematical Concepts of Quantum TheoryGuide to Mathematical Concepts of Quantum Theory
by - arXiv
In this text the authors introduce the quantum theory understood as a mathematical model describing quantum experiments. This is a mathematically clear and self-containing explanation of the main concepts of the modern language of quantum theory.
(12493 views)
Book cover: A Pedestrian Introduction to the Mathematical Concepts of Quantum PhysicsA Pedestrian Introduction to the Mathematical Concepts of Quantum Physics
by - arXiv
A basic introduction to the primary mathematical concepts of quantum physics, and their physical significance, from the operator and Hilbert space point of view, highlighting more what are essentially the abstract algebraic aspects of quantization.
(14218 views)
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.
(7444 views)
Book cover: Symplectic Geometry of Quantum NoiseSymplectic Geometry of Quantum Noise
by - arXiv
We discuss a quantum counterpart of certain constraints on Poisson brackets coming from 'hard' symplectic geometry. They can be interpreted in terms of the quantum noise of observables and their joint measurements in operational quantum mechanics.
(9614 views)