An Introduction to Microlocal Analysis
by Richard B. Melrose, Gunther Uhlmann
Publisher: MIT 2008
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
Geometry of Quantum Mechanicsby Ingemar Bengtsson - 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.
(9477 views)
Using Mathematica for Quantum Mechanics: A Student's Manualby Roman Schmied - 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.
(675 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.
(10040 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.
(498 views)