Logo

An Introduction to Microlocal Analysis

Small book cover: An Introduction to Microlocal Analysis

An Introduction to Microlocal Analysis
by

Publisher: MIT
Number of pages: 182

Description:
One of the origins of scattering theory is the study of quantum mechanical systems, generally involving potentials. The scattering theory for perturbations of the flat Laplacian is discussed with the initial approach being via the solution of the Cauchy problem for the corresponding perturbed wave equation.

Download or read it online for free here:
Download link
(820KB, PDF)

Similar books

Book cover: Mathematical Foundations of Quantum MechanicsMathematical Foundations of Quantum Mechanics
by - arXiv
The author reviews the formulation of Quantum Mechanics, and quantum theories in general, from a mathematically advanced viewpoint, essentially based on the orthomodular lattice of elementary propositions, discussing some fundamental ideas ...
(5580 views)
Book cover: Mathematical Concepts of Quantum MechanicsMathematical Concepts of Quantum Mechanics
by - 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.
(4515 views)
Book cover: Homological Tools for the Quantum MechanicHomological Tools for the Quantum Mechanic
by - 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.
(2135 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.
(2795 views)