Описание: Focuses on the combined power-type nonlinear Schrodinger equations with energy-critical growth, and studies the solutions slightly above the ground state threshold at low frequencies to obtain a so-called nine-set theory developed by Nakanishi and Schlag.
Автор: David Damanik, Jake Fillman Название: One-Dimensional Ergodic Schrodinger Operators: I. General Theory ISBN: 1470470861 ISBN-13(EAN): 9781470470869 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 10659.00 р. Наличие на складе: Поставка под заказ.
Описание: The theory of one-dimensional ergodic operators involves a beautiful synthesis of ideas from dynamical systems, topology, and analysis. Additionally, this setting includes many models of physical interest, including those operators that model crystals, disordered media, or quasicrystals. This field has seen substantial progress in recent decades, much of which has yet to be discussed in textbooks.Beginning with a refresher on key topics in spectral theory, this volume presents the basic theory of discrete one-dimensional Schrodinger operators with dynamically defined potentials. It also includes a self-contained introduction to the relevant aspects of ergodic theory and topological dynamics.This text is accessible to graduate students who have completed one-semester courses in measure theory and complex analysis. It is intended to serve as an introduction to the field for junior researchers and beginning graduate students as well as a reference text for people already working in this area. It is well suited for self-study and contains numerous exercises (many with hints).
Описание: Mathematical Notes, 29 Originally published in 1983. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paper
Описание: The current offering from Nova Science Publishers titled Understanding the Schrodinger Equation: Some [Non]Linear Perspectives is a collection of selectively invited manuscripts from some of the worlds leading workers in quantum dynamics; particularly as concerning Schrodingers wavefunction formalism. The work is dedicated to providing an illustrative sketch of a few of the numerous and sundry aspects of the Schrodinger equation; ranging from a new pedagogical teaching approach, to technical applications and foundational considerations. Towards this end, the work is generally of a theoretical nature; expounding various physical aspects of both linear and nonlinear Schrodinger systems and their attendant mathematical developments. Expressly, the book contains A chapter meant to give a new pedagogical paradigm for teaching an understanding of quantum mechanics, via the Schrodinger equation as an extension of probability theory. A chapter addressing the Schrodinger equation written in the second quantization formalism, derived from first principles; towards a deeper understanding of classical-quantum correspondence. A chapter discussing the connection between the Schrodinger equation and one of the most intuitive research fields in classical mechanics: the theory of nonlinear water waves. A chapter which investigates wave solutions of the generalized nonlinear time-dependent Schrodinger-like equation describing a cosmogonical body formation. A chapter addressing the nonlinear Schrodinger equation: a mathematical model with its wide-ranging applications and analytical results. A chapter investigating analytical self-similar and traveling-wave solutions of the Madelung equations obtained from the Schrodinger equation. A chapter which puts forth a novel paradigm of infinite dimensional quantum phase space extension of the Schrodinger equation. A chapter which discusses a metaplectic Bohmian formalism from classical (Hamiltons equations) to quantum physics (Schrodingers equation): the Metatron. The book is written in a lucid style, nicely marrying physical intuition with mathematical insight. As such, it should be of interest to workers in Schrodinger theory and related areas, and generally, to those who seek a deeper understanding of some of the linear and nonlinear perspectives of the Schrodinger equation.
Автор: Fibich Gadi Название: Nonlinear Schrodinger Equation ISBN: 3319127470 ISBN-13(EAN): 9783319127477 Издательство: Springer Рейтинг: Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Mathematical Notes, 29 Originally published in 1983. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paper
Автор: Sara Munday, Marc Kessebohmer, Bernd Otto Stratmann Название: Infinite Ergodic Theory of Numbers ISBN: 3110439417 ISBN-13(EAN): 9783110439410 Издательство: Walter de Gruyter Цена: 9288.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: By connecting dynamical systems and number theory, this graduate textbook on ergodic theory acts as an introduction to a highly active area of mathematics, where a variety of strands of research open up. The text explores various concepts in infinite ergodic theory, always using continued fractions and other number-theoretic dynamical systems as illustrative examples. Contents:PrefaceMathematical symbolsNumber-theoretical dynamical systemsBasic ergodic theoryRenewal theory and ?-sum-level setsInfinite ergodic theoryApplications of infinite ergodic theoryBibliographyIndex
Автор: Ya. Sinai, Название: Introduction to ergodic theory, ISBN: 0691081824 ISBN-13(EAN): 9780691081823 Издательство: Wiley Рейтинг: Цена: 11880.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This monograph examines new areas of ergodic theory, describing entropy theory, elements of the renormalization group method in the theory of dynamical systems, the splitting of separatrices, and problems related to the theory of hyperbolic dynamical systems.
Автор: Pei-Dong Liu; Min Qian Название: Smooth Ergodic Theory of Random Dynamical Systems ISBN: 3540600043 ISBN-13(EAN): 9783540600046 Издательство: Springer Рейтинг: Цена: 6288.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This text studies ergodic-theoretic aspects of random dynamical systems, for example, deterministic systems with noise. It aims to present a systematic treatment of a series of recent results concerning invariant measures, entropy and Lyapunov exponents of such systems.
Автор: Stanley Eigen; Arshag Hajian; Yuji Ito; Vidhu Pras Название: Weakly Wandering Sequences in Ergodic Theory ISBN: 4431564004 ISBN-13(EAN): 9784431564003 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In time it was shown that ww and related sequences reflected significant and deep properties of ergodic transformations that preserve an infinite measure.This monograph studies in a systematic way the role of ww and related sequences in the classification of ergodic transformations preserving an infinite measure.
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