Semi-classical Analysis For Nonlinear Schrodinger Equations: Wkb Analysis, Focal Points, Coherent States
Regular price
€122.99
14 days return policy
Shipping & Delivery
A01=Remi Carles
Author_Remi Carles
Category=PBKJ
Caustic
Classical Mechanics
Coherent States
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Euler Equation
Instability
Lens Transform
Mehler's Formula
Nonlinear Schrodinger Equation
Phase-Amplitude Representation
Scattering Theory
Semi-Classical Limit
WKB Analysis
Product details
- ISBN 9789811227905
- Publication Date: 16 Oct 2020
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
Secure
checkout
Fast Shipping
Easy returns
The second edition of this book consists of three parts. The first one is dedicated to the WKB methods and the semi-classical limit before the formation of caustics. The second part treats the semi-classical limit in the presence of caustics, in the special geometric case where the caustic is reduced to a point (or to several isolated points). The third part is new in this edition, and addresses the nonlinear propagation of coherent states. The three parts are essentially independent.Compared with the first edition, the first part is enriched by a new section on multiphase expansions in the case of weakly nonlinear geometric optics, and an application related to this study, concerning instability results for nonlinear Schrödinger equations in negative order Sobolev spaces.The third part is an overview of results concerning nonlinear effects in the propagation of coherent states, in the case of a power nonlinearity, and in the richer case of Hartree-like nonlinearities. It includes explicit formulas of an independent interest, such as generalized Mehler's formula, generalized lens transform.
