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: 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 ...
(5755 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.
(13133 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.
(15386 views)
Book cover: Using Mathematica for Quantum Mechanics: A Student's ManualUsing Mathematica for Quantum Mechanics: A Student's Manual
by - arXiv.org
This book is an attempt to help students transform all of the concepts of quantum mechanics into concrete computer representations, which can be analyzed and understood at a deeper level than what is possible with more abstract representations.
(6744 views)