Lecture Notes On Schrodinger Equations
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Lecture Notes on Schrödinger Equations
CONTENTS: Preface; A Bit of Quantum Mechanics; Operators in Hilbert Spaces; Spectral Theorem for Self-adjoint Operators; Compact Operators and the Hilbert-Schmidt Theorem; Elements of Perturbation Theory; Variational Principles; One-Dimensional Schrödinger Operator; Multidimensional Schrödinger Operator; Periodic Schrödinger Operator; Quantum Graphs; Non-linear Schrödinger Equation; References; Index.
Semilinear Schrodinger Equations
Author: Thierry Cazenave
language: en
Publisher: American Mathematical Soc.
Release Date: 2003
The nonlinear Schrodinger equation has received a great deal of attention from mathematicians, particularly because of its applications to nonlinear optics. This book presents various mathematical aspects of the nonlinear Schrodinger equation. It studies both problems of local nature and problems of global nature.
The Nonlinear Schrödinger Equation
Author: Catherine Sulem
language: en
Publisher: Springer Science & Business Media
Release Date: 2007-06-30
Filling the gap between the mathematical literature and applications to domains, the authors have chosen to address the problem of wave collapse by several methods ranging from rigorous mathematical analysis to formal aymptotic expansions and numerical simulations.