Logo

A Pedestrian Introduction to the Mathematical Concepts of Quantum Physics

A Pedestrian Introduction to the Mathematical Concepts of Quantum Physics
by

Publisher: arXiv
Number of pages: 79

Description:
These notes offer 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 in contrast to more standard treatments of such issues, while also bridging towards the path integral formulation of quantization.

Home page url

Download or read it online for free here:
Download link
(830KB, PDF)

Similar books

Book cover: Quantum Theory, Groups and Representations: An IntroductionQuantum Theory, Groups and Representations: An Introduction
by - Columbia University
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...
(6882 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.
(9549 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.
(9797 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.
(13133 views)