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
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...
(5211 views)
Numerical Methods in Quantum Mechanicsby Paolo Giannozzi - University of Udine
The aim of these lecture notes is to provide an introduction to methods and techniques used in the numerical solution of simple (non-relativistic) quantum-mechanical problems, with special emphasis on atomic and condensed-matter physics.
(3688 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.
(11317 views)
Mathematical Foundations of Quantum Mechanicsby Valter Moretti - 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 ...
(3371 views)