Semi Classical Analysis For Nonlinear Schrodinger Equations Wkb Analysis Focal Points Coherent States Second Edition PDF Download
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Author | : Remi Carles |
Publisher | : World Scientific |
Total Pages | : 367 |
Release | : 2020-10-05 |
Genre | : Mathematics |
ISBN | : 9811227926 |
Download Semi-classical Analysis For Nonlinear Schrodinger Equations: Wkb Analysis, Focal Points, Coherent States (Second Edition) Book in PDF, ePub and Kindle
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.
Author | : Rémi Carles |
Publisher | : World Scientific Publishing Company |
Total Pages | : 0 |
Release | : 2020-09-29 |
Genre | : Mathematics |
ISBN | : 9789811227905 |
Download Semi-classical Analysis for Nonlinear Schrödinger Equations Book in PDF, ePub and Kindle
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 Schrdinger 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.
Author | : Rémi Carles |
Publisher | : World Scientific Publishing Company Incorporated |
Total Pages | : 243 |
Release | : 2008 |
Genre | : Mathematics |
ISBN | : 9812793127 |
Download Semi-classical Analysis for Nonlinear Schrödinger Equations Book in PDF, ePub and Kindle
Author | : Spyridon Kamvissis |
Publisher | : Princeton University Press |
Total Pages | : 281 |
Release | : 2003-09-07 |
Genre | : Mathematics |
ISBN | : 069111482X |
Download Semiclassical Soliton Ensembles for the Focusing Nonlinear Schrodinger Equation (AM-154) Book in PDF, ePub and Kindle
Providing an asymptotic analysis via completely integrable techniques, of the initial value problem for the focusing nonlinear Schrodinger equation in the semiclassical asymptotic regime, this text exploits complete integrability to establish pointwise asymptotics for this problem's solution.
Author | : Spyridon Kamvissis |
Publisher | : |
Total Pages | : 367 |
Release | : 2002 |
Genre | : |
ISBN | : |
Download Semiclassical Soliton Ensembles for the Focusing Nonlinear Schrödinger Equation Book in PDF, ePub and Kindle
Author | : Maciej Zworski |
Publisher | : American Mathematical Soc. |
Total Pages | : 448 |
Release | : 2012 |
Genre | : Mathematics |
ISBN | : 0821883208 |
Download Semiclassical Analysis Book in PDF, ePub and Kindle
"...A graduate level text introducing readers to semiclassical and microlocal methods in PDE." -- from xi.
Author | : Alexander Altland |
Publisher | : Cambridge University Press |
Total Pages | : 785 |
Release | : 2010-03-11 |
Genre | : Science |
ISBN | : 0521769752 |
Download Condensed Matter Field Theory Book in PDF, ePub and Kindle
This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research. Topics covered include second quantisation, path and functional field integration, mean-field theory and collective phenomena.
Author | : |
Publisher | : |
Total Pages | : 1586 |
Release | : 1991 |
Genre | : Physics |
ISBN | : |
Download Physics Briefs Book in PDF, ePub and Kindle
Author | : Didier Robert |
Publisher | : Springer Nature |
Total Pages | : 577 |
Release | : 2021-05-25 |
Genre | : Science |
ISBN | : 3030708454 |
Download Coherent States and Applications in Mathematical Physics Book in PDF, ePub and Kindle
This second edition of the outstanding monograph on coherent states by Combescure and Robert published in 2012 is enriched with figures, historical information and numerical simulations and enlarged with five new chapters presenting important rigorous results obtained in the recent years. The new chapters include various applications such as to the time dependent Schroedinger equation and the Ehrenfest time, to the growth of norms and energy exchanges, to chaotic systems and classical systems with quantum ergodic behavior, and to open quantum systems, and to adiabatic decoupling for multicomponent systems Overall, this book presents the various types of coherent states introduced and studied in the physics and mathematics literature and describes their properties together with application to quantum physics problems. It is intended to serve as a compendium on coherent states and their applications for physicists and mathematicians, stretching from the basic mathematical structures of generalized coherent states in the sense of Perelomov via the semiclassical evolution of coherent states to various specific examples of coherent states (hydrogen atom, quantum oscillator, etc.). It goes beyond existing books on coherent states in terms of a rigorous mathematical framework
Author | : Bei-Lok B. Hu |
Publisher | : Cambridge University Press |
Total Pages | : 615 |
Release | : 2020-03-05 |
Genre | : Science |
ISBN | : 0521193575 |
Download Semiclassical and Stochastic Gravity Book in PDF, ePub and Kindle
An overview of semi-classical gravity theory and stochastic gravity as theories of quantum gravity in curved space-time.