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1) Extended states for the Schrödinger operator with quasi-periodic potential in dimension two

Author

Karpeshina, Yulia E

Series

Memoirs of the American Mathematical Society volume Number 1239

Publisher

American Mathematical Society

Pub. Date

[2019]

Language

English

2) Semi-classical analysis for nonlinear Schrödinger equations

Author

Carles, Rémi

Publisher

World Scientific

Pub. Date

c2008

Language

English

3) Solving the Schrödinger equation: has everything been tried?

Publisher

Imperial College Press

Pub. Date

c2011

Language

English

4) The Schrödinger model for the minimal representation of the indefinite orthogonal group O(p, q)

Author

Kobayashi, Toshiyuki

Series

Memoirs of the American Mathematical Society volume Volume 213, Number 1000

Publisher

American Mathematical Society

Pub. Date

2011.

Language

English

5) Low-dimensional nanoscale systems on discrete spaces

Author

Papp, E

Publisher

World Scientific

Pub. Date

c2007

Language

English

6) Localization in periodic potentials: from Schrödinger operators to the Gross-Pitaevskii equation

Author

Pelinovsky, Dmitry

Series

London Mathematical Society lecture note volume 390

Publisher

Cambridge University Press

Pub. Date

2011

Language

English

Description

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"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...