Logo

Mathematical Concepts of Quantum Mechanics

Small book cover: Mathematical Concepts of Quantum Mechanics

Mathematical Concepts of Quantum Mechanics
by

Publisher: University of Toronto
Number of pages: 185

Description:
These lectures cover a one term course taken by a mixed group of students specializing either in mathematics or physics. We decided to select material which illustrates an interplay of ideas from various fields of mathematics, such as operator theory, probability, differential equations, and differential geometry.

Home page url

Download or read it online for free here:
Download link
(2.3MB, PDF)

Similar books

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.
(13964 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.
(9345 views)
Book cover: Mathematical Foundations of Quantum MechanicsMathematical Foundations of Quantum Mechanics
by - arXiv
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 ...
(7871 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 ...
(3647 views)