Homological Tools for the Quantum Mechanic
by Tom Mainiero
Publisher: arXiv.org 2019
Number of pages: 126
Description:
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.
Download or read it online for free here:
Download link
(1.4MB, PDF)
Similar books
Mathematical Concepts of Quantum Mechanicsby S. Gustafson, I.M. Sigal - University of Toronto
These lectures cover a one term course taken by a mixed group of students specializing either in mathematics or physics. We illustrate an interplay of ideas from various fields of mathematics, such as operator theory, differential equations, etc.
(6863 views)
Lecture notes on C*-algebras, Hilbert C*-modules, and quantum mechanicsby N.P. Landsman - 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.
(12992 views)
A Pedestrian Introduction to the Mathematical Concepts of Quantum Physicsby Jan Govaerts - arXiv
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.
(14235 views)
An Introduction to Microlocal Analysisby Richard B. Melrose, Gunther Uhlmann - 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.
(10947 views)