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: 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.
(13700 views)
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.
(13047 views)
Book cover: Mathematical Tools of Quantum MechanicsMathematical Tools of Quantum Mechanics
by - Sissa, Trieste
The theory which is presented here is Quantum Mechanics as formulated in its essential parts on one hand by de Broglie and Schroedinger and on the other by Born, Heisenberg and Jordan with important contributions by Dirac and Pauli.
(11288 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 ...
(8698 views)