Localization in Periodic Potentials
Summary
The feel-good place to buy books
Localization in Periodic Potentials by Dmitry E Pelinovsky
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.
"The book brilliantly harnesses powerful techniques, teaches them "on-the-job" and illustrates them with a profound and beautiful analysis of these equations, unreally real as suggested by one slogan of Chapter 2, a quote by Einstein, :As far as the laws of mathematics refer to reality, they are not certain; as far as they are certain, they do no refer to reality" Emma Previato, Mathematics Reviews
Dmitry E. Pelinovsky is a Professor in the Department of Mathematics at McMaster University, Canada.
| SKU | GOR014096905 |
| ISBN 13 | 9781107621541 |
| ISBN 10 | 1107621542 |
| Title | Localization in Periodic Potentials |
| Author | Dmitry E Pelinovsky |
| Series | London Mathematical Society Lecture Note Series |
| Condition | Very Good |
| Binding Type | Paperback |
| Publisher | Cambridge University Press |
| Year published | 2011-10-06 |
| Number of pages | 407 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in very good condition, but if you are not entirely satisfied please get in touch with us |
