Localization in Periodic Potentials: From Schrödinger Operators to the Gross-Pitaevskii Equation (London Mathematical Society Lecture Note Series)
Localization in Periodic Potentials: From Schrödinger Operators to the Gross-Pitaevskii Equation (London Mathematical Society Lecture Note Series) [Dmitry E. Justification of the Lattice Equation for a Nonlinear Elliptic Problem . Copublished by the Soil Science Society of America and the Crop Science Society of . Localization in Periodic Potentials From Schrödinger Operators to the Gross-Pitaevskii Equation London Mathematical Society Lecture Note Series, 390. Nonlinear PDEs: A Dynamical Systems Approach - Google Books Result Series Monográficas: London Mathematical Society lecture note series . in periodic potentials : from Schrodinger operators to the Gross-Pitaevskii equation New books: Physics Today: Vol 65, No 11 - Scitation 6 Oct 2011 . Localization in Periodic Potentials: From Schrödinger Operators to the of the Gross–Pitaevskii equation with a periodic potential; in particular, the . Volume 390 of London Mathematical Society Lecture Note Series. Localization periodic potentials schrodinger operators . 2011. Localization in periodic potentials : from Schrödinger operators to the Gross-Pitaevskii equation, London Mathematical Society lecture note series 390 Localized extrema of ground state solution for nonlinear . Nonlinear PDEs - American Mathematical Society Spectral stability of periodic waves in the generalized reduced . D. E. Pelinovsky, Localization in periodic potentials. From Schrödinger operators to the Gross-Pitaevskii equation, London Mathematical Society Lecture Note Series 390. Cambridge: Cambridge University Press. x, 398 p., 2011. L. M. Pismen Localization in PeriodicPotentials: From Schrödinger Operators to . Mathematical theory and numerical methods for Bose . - Maths, NUS c 2016 Society for Industrial and Applied Mathematics . Hamiltonian–Hopf bifurcation, normal form, nonlinear Schrödinger equation, sider the NLS equation with a general external localized potential, the latter community, this equation is referred to as the Gross–Pitaevskii equation) Note that the cubic nonlinearity. London Mathematical . - Biblioteca Sotero Prieto - UNAM Finally, as a perspective, we show briefly the mathematical models for spin-1 BEC, . Bose-Einstein condensation, Gross-Pitaevskii equation, numerical . Einstein s prediction did not receive much attention until F. London to the Nobel lectures [80, 126]. atomic physics community and condensate physics community. Localization in Periodic Potentials: From . - Google Books
Localization in Periodic Potentials: From Schrödinger Operators to the Gross-Pitaevskii Equation (London Mathematical Society Lecture Note Series) [Dmitry E.
16 Jan 2017 . operator and allow families of exponentially localized solitary waves parametrized by velocity. nonlinear Schrödinger equation, Gross-Pitaevskii, Bloch transformation, . For a P-periodic (P 0) potential V , i.e. V (x + P) = V (x) for all x ∈ R and the London Mathematical Society Lecture Note Series. Page_1 non-monotone potential . u(x), x ∈ R, of the nonlinear Schrödinger equation: Periodic Potentials: from Schrödinger operators to the Gross-Pitaevskii equa- tion, London Mathematical Society Lecture Note Series: 390, Cambridge University From Schrodinger Operators to the Gross-Pitaevskii Equation 15 May 2013 . Localized solitary wave solutions of the effective equations with Gross-Pitaevskii equation / periodic nonlinear Schrödinger equation (PNLS) i∂tu + ∂ Review of Bloch waves and finite band potentials. 2.1. Perturbation theory for linear operators. London Mathematical Society Lecture Note Series. Amazon.fr: Dmitry Pelinovsky: Livres, Biographie, écrits, livres audio From Schrödinger Operators to the Gross–Pitaevskii Equation Dmitry E. Pelinovsky (London Mathematical Society lecture note series ; 390) Includes Localization in Periodic Potentials: From Schrödinger Operators to . The nonlinear Schrödinger/Gross–Pitaevskii (GP) equation in d ∈ N . spectral gap for a separable periodic potential in two dimensions is studied we show that nonlinear Bloch waves bifurcate in ω from generic points in the Localization in periodic potentials, volume 390 of London Mathematical Society Lecture. Note Solution to the double-well nonlinear Schrödinger equation with . 22 Oct 2017 . Memoirs on Differential Equations and Mathematical Physics and external potential on the same interval is considered, too.1 Schrödinger equation, ground state solution, extrema, non-monotonic .. From Schrödinger Operators to the Gross– London Mathematical Society Lecture Note Series, 390. LOCALIZED LOCAL MAXIMA FOR NON-NEGATIVE GROUND . Buy Localization in Periodic Potentials: From Schrödinger Operators to the Gross-Pitaevskii Equation (London Mathematical Society Lecture Note Series) by Dmitry E. Pelinovsky (ISBN: 9781107621541) from Amazon s Book Store. Everyday Localization in Periodic Potentials: From Schrodinger Operators to . . Up in Nonlinear Sobolev Type Equations. (de Gruyter Series in Nonlinear Analysis and Applications, Vol. . *140 Pelinovsky,D.: Localization in Periodic Potentials: From Schrodinger Operators to the Gross-Pitaevskii Equation. (London Mathematical Society Lecture Note Series, Vol. 390) Oct. 2011 410 pp. (Cambridge) Localization in Periodic Potentials: From Schrödinger Operators to . Nonlinear Schrödinger equation in spatially periodic media, ZAMP 57 (2006),. 1–35. [BV90] . Pitman Research Notes in Mathematics Series, vol. 352 D. E. Pelinovsky, Localization in periodic potentials. From Schrödinger oper- ators to the Gross-Pitaevskii equation, London Mathematical Society Lecture. Note Series Justification of the Coupled Mode Asymptotics for Localized . 19 Dec 2014 . London (1874 - 1925), Prog. In particular, it turns out that the solution has a periodic behavior and Cazenave T 2003 Semilinear Schrödinger Equations (Providence, for the Schrödinger operator and applications (Lecture Notes in in nonlinear Schrödinger/Gross–Pitaevskii equations SIAM J. Math. Yurinsha Book News Editorial Reviews. Review. The book brilliantly harnesses powerful techniques, teaches them Localization in Periodic Potentials: From Schrödinger Operators to the Gross-Pitaevskii Equation (London Mathematical Society Lecture Note Series) Equation (London Mathematical Society Lecture Note Series) 1st Edition, Traveling Solitary Waves in the Periodic Nonlinear Schrödinger . We justify the use of the lattice equation (the discrete nonlinear Schrödinger equation) for the . Communications in Mathematical Physics the Fourier–Bloch decomposition for a linear Schrödinger operator with a periodic potential. to classify localized solutions of the Gross–Pitaevskii equation with a periodic potential. On mathematical models for Bose-Einstein condensates in optical . London Mathematical Society Lecture Note Series. Part I: 1971-1985 83 titles .. Localization in Noetherian Rings. ISBN 978-0-511-66193-8 Localization in Periodic Potentials: From Schrodinger Operators to the Gross-Pitaevskii Equation. Transverse instability of line solitons in massive Dirac equations . . in Periodic Potentials From Schrödinger Operators to the Gross–Pitaevskii Equation. $115.00 (C). Part of London Mathematical Society Lecture Note Series. BIFURCATION OF NONLINEAR BLOCH WAVES . - Uni Oldenburg London Mathematical Society Lecture Note Series 397. Localization in Periodic Potentials: From Schrödinger Operators to the Gross–Pitaevskii Equation. Science/AAAS Collections: Science Special Collections: Books et . 2 Feb 2017 . Keywords: Reduced Ostrovsky equations, Stability of periodic .. eigenvalues of the Schrödinger operator with elliptic potentials. Pelinovsky, D.E.: Localization in Periodic Potentials: From Schrödinger Operators to the Gross-Pitaevskii Equation, London Mathematical Society, Lecture Note Series 390. A NORMAL FORM FOR HAMILTONIAN–HOPF . - Semantic Scholar London Mathematical Society Lecture Note Series: 390. Localization in. Periodic Potentials. From Schr¨. odinger Operators to. the Gross–Pitaevskii Equation.
Buy Localization in Periodic Potentials: From Schrödinger Operators to the Gross-Pitaevskii Equation (London Mathematical Society Lecture Note Series) by . Localization in Periodic Potentials: From Schrödinger Operators to the . Operators to the Gross-Pitaevskii Equation (London Mathematical Society Lecture Note Sheet2 - Institute for Basic Science Localization in Periodic Potentials: From Schrödinger Operators to the Gross-Pitaevskii Equation (London Mathematical Society Lecture Note Series). Dmitry E. Localization in periodic potentials. From Schrödinger operators to 20 Oct 2008 . with periodic potential or multiple wells potentials. . the condensate can be described by a Gross Pitaevskii type energy with a The theory which we will develop is inspired by a series of . developed for linear problems related to the Schrödinger operator Note that we recover ϕ1(z,k) by the formula. Localization in Periodic Potentials: From Schrödinger Operators to . 17 Dec 2014 . 1, Mathematics, Number theory, London Mathematical Society Lecture Note Series 224, 9780511997754, Pelinovsky, Localization in Periodic Potentials, From Schrödinger Operators to the Gross–Pitaevskii Equation, 0 Localization in Periodic Potentials: From Schrödinger Operators to . - Google Books Result 1 Apr 2016 . London Mathematical Society Lecture Note Series: 390 . lattice. This book is about the Gross–Pitaevskii equation with a periodic potential,. Localization in Periodic Potentials: From Schrödinger Operators to . Localization in Periodic Potentials: From Schrodinger Operators to the Gross-Pitaevskii Equation - Buy Localization in Periodic Potentials: From Schrodinger Operators to the . London Mathematical Society Lecture Note Series. Dimensions. CBO ロンドン数学会講義ノートシリーズ - 極東書店 . 07/07/1994, London Mathematical Society Lecture Note Series, 201, Paperback, 435 42, 38, Paul W. Gross , P. Robert Kotiuga, Electromagnetic Theory and Computation . 98, 94, Daniel W. Stroock, Partial Differential Equations for Probabilists Localization in Periodic Potentials, From Schrodinger Operators to the