Książka Localization in Periodic Potentials Dmitry Pelinovsky

Localization in Periodic Potentials

From Schroedinger Operators to the Gross-Pitaevskii Equation

Język: Angielski
Oprawa: Miękka
Dostępność: Dostępna u dostawcy
Wysyłamy za 9-15 dni
444.74
This book provides a comprehensive treatment of the Gross–Pitaevskii equation with a periodic potent...

Informacje o książce

Język
Angielski
Oprawa
Książka - Miękka
Data wydania
2011
strony
407
EAN
9781107621541
ISBN
1107621542
Enbook ID
01258766
Waga
572
Wymiary
154 x 227 x 12

Pełny opis

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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