Logo

Quantum Theory, Groups and Representations: An Introduction

Small book cover: Quantum Theory, Groups and Representations: An Introduction

Quantum Theory, Groups and Representations: An Introduction
by

Publisher: Columbia University
Number of pages: 396

Description:
These notes cover the basics of quantum mechanics, from a point of view emphasizing the role of unitary representations of Lie groups in the foundations of the subject. The approach to this material is simultaneously rather advanced, using crucially some fundamental mathematical structures normally only discussed in graduate mathematics courses, while at the same time trying to do this in as elementary terms as possible.

Home page url

Download or read it online for free here:
Download link
(2.8MB, 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.
(14474 views)
Book cover: Mathematical Methods in Quantum MechanicsMathematical Methods in Quantum Mechanics
by - American Mathematical Society
This is a self-contained introduction to spectral theory of unbounded operators in Hilbert space with full proofs and minimal prerequisites: Only a solid knowledge of advanced calculus and a one-semester introduction to complex analysis are required.
(16064 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.
(11203 views)
Book cover: Geometry of Quantum MechanicsGeometry of Quantum Mechanics
by - Stockholms universitet, Fysikum
These are the lecture notes from a graduate course in the geometry of quantum mechanics. The idea was to introduce the mathematics in its own right, but not to introduce anything that is not directly relevant to the subject.
(14337 views)