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...
(4231 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.
(4222 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.
(10283 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.
(8133 views)