Localization in Periodic Potentials

Name: Localization in Periodic Potentials
Brand: Cambridge University Press
SKU: 9781107621541
Price: 2409 CZK
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From Schroedinger Operators to the Gross-Pitaevskii Equation

Autor: Dmitry Pelinovsky

Jazyk:

Vazba: Brožovaná

Vydavatel: Cambridge University Press

Dostupnost: Skladem u dodavatele

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This book provides a comprehensive treatment of the Gross–Pitaevskii equation with a periodic potent...

Informace o knize

Autor

Dmitry Pelinovsky

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Vydáno

2011

Stránek

407

EAN

9781107621541

ISBN

1107621542

Enbook ID

01258766

Vydavatel

Cambridge University Press

Hmotnost

572

Rozměry

154 x 227 x 12

Kompletní popis

This book provides a comprehensive treatment of the Gross–Pitaevskii equation with a periodic potential; in particular, the localized modes supported by the periodic potential. It takes the mean-field model of the Bose–Einstein condensation as the starting point of analysis and addresses the existence and stability of localized modes. The mean-field model is simplified further to the coupled nonlinear Schrödinger equations, the nonlinear Dirac equations, and the discrete nonlinear Schrödinger equations. One of the important features of such systems is the existence of band gaps in the wave transmission spectra, which support stationary localized modes known as the gap solitons. These localized modes realise a balance between periodicity, dispersion and nonlinearity of the physical system. Written for researchers in applied mathematics, this book mainly focuses on the mathematical properties of the Gross–Pitaevskii equation. It also serves as a reference for theoretical physicists interested in localization in periodic potentials.

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Localization in Periodic Potentials

From Schroedinger Operators to the Gross-Pitaevskii Equation

Informace o knize

Kompletní popis

Mohlo by vás zajímat

Zákaznicí kteří koupili tuto knihu koupili také