A Pedestrian Introduction to the Mathematical Concepts of Quantum Physics
by Jan Govaerts
Publisher: arXiv 2008
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.
Download or read it online for free here:
Download link
(830KB, PDF)
Similar books
Quantum Theory, Groups and Representations: An Introductionby Peter Woit - 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...
(11048 views)
Homological Tools for the Quantum Mechanicby Tom Mainiero - arXiv.org
This paper is an introduction to work motivated by the question 'can multipartite entanglement be detected by homological algebra?' We introduce cochain complexes associated to multipartite density states whose cohomology detects factorizability.
(5762 views)
Mathematical Methods in Quantum Mechanicsby Gerald Teschl - 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.
(18422 views)
Guide to Mathematical Concepts of Quantum Theoryby Teiko Heinosaari, Mario Ziman - 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.
(14403 views)