Logo

Homological Tools for the Quantum Mechanic

Small book cover: Homological Tools for the Quantum Mechanic

Homological Tools for the Quantum Mechanic
by

Publisher: arXiv.org
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.

Home page url

Download or read it online for free here:
Download link
(1.4MB, PDF)

Similar books

Book cover: Using Mathematica for Quantum Mechanics: A Student's ManualUsing Mathematica for Quantum Mechanics: A Student's Manual
by - arXiv.org
This book is an attempt to help students transform all of the concepts of quantum mechanics into concrete computer representations, which can be analyzed and understood at a deeper level than what is possible with more abstract representations.
(4940 views)
Book cover: Uncertainty and Exclusion Principles in Quantum MechanicsUncertainty and Exclusion Principles in Quantum Mechanics
by - arXiv.org
These are lecture notes for a master-level course given at KTH, Stockholm, in the spring of 2017, with the primary aim of proving the stability of matter from first principles using modern mathematical methods in many-body quantum mechanics.
(4848 views)
Book cover: Quantization and SemiclassicsQuantization and Semiclassics
by - arXiv
This text is aimed at graduate students in physics in mathematics and designed to give a comprehensive introduction to Weyl quantization and semiclassics via Egorov's theorem. An application of Weyl calculus to Born-Oppenheimer systems is discussed.
(7490 views)
Book cover: An Introduction to Microlocal AnalysisAn Introduction to Microlocal Analysis
by - 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.
(10984 views)