Perturbed Evolution

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Perturbed evolution

Author : Berthold-Georg Englert
Publisher : World Scientific
ISBN 13 : 981256974X
Total Pages : 212 pages
Book Rating : 4.8/5 (125 download)

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Book Synopsis Perturbed evolution by : Berthold-Georg Englert

Download or read book Perturbed evolution written by Berthold-Georg Englert and published by World Scientific. This book was released on 2006 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Note: The three volumes are not sequential but rather independent of each other and largely self-contained.Basic Matters is a first introduction to quantum mechanics that does not assume any prior knowledge of the subject. The emphasis is on the general structure as the necessary foundation of any understanding. Starting from the simplest quantum phenomenon, the Stern-Gerlach experiment with its choice between two discrete outcomes, and ending with one-dimensional continuous systems, the physical concepts and notions as well as the mathematical formalism of quantum mechanics are developed in successive, manageable steps. The presentation is modern inasmuch as the natural language of the trade - Dirac's kets and bras and so on - is introduced early, and the temporal evolution is dealt with in a picture-free manner, with Schrodinger's and Heisenberg's equations of motion side by side and on equal footing.The reader of Simple Systems is not expected to be familiar with the material in Basic Matters, but should have the minimal knowledge of a standard brief introduction to quantum mechanics with its typical emphasis on one-dimensional position wave functions. The step to Dirac's more abstract and much more powerful formalism is taken immediately, followed by reviews of quantum kinematics and quantum dynamics. The important standard examples (force-free motion, constant force, harmonic oscillator, hydrogen-like atoms) are then treated in considerable detail, whereby a nonstandard perspective is offered wherever it is deemed feasible and useful. A final chapter is devoted to approximation methods, from the Hellmann-Feynman theorem to the WKB quantization rule.Perturbed Evolution has a closer link to Simple Systems than that volume has to Basic Matters, but any reader familiar with the subject matter of a solid introduction to quantum mechanics - such as Dirac's formalism of kets and bras, Schrodinger's and Heisenberg's equations of motion, and the standard examples that can be treated exactly, with harmonic oscillators and hydrogen-like atoms among them - can cope with the somewhat advanced material of this volume. The basics of kinematics and dynamics are reviewed at the outset, including discussions of Bohr's principle of complementarity and Schwinger's quantum action principle. The Born series, the Lippmann-Schwinger equation, and Fermi's golden rule are recurring themes in the treatment of the central subject matter - the evolution in the presence of perturbing interactions for which there are no exact solutions as one has them for the standard examples in Simple Systems. The scattering by a localized potential is regarded as a perturbed evolution of a particular kind and is dealt with accordingly. The unique features of the scattering of indistinguishable quantum objects illustrate the nonclassical properties of bosons and fermions and prepare the groundwork for a discussion of multi-electron atoms."

Singularly Perturbed Evolution Equations with Applications to Kinetic Theory

Author : J. R. Mika
Publisher : World Scientific
ISBN 13 : 9789810221256
Total Pages : 332 pages
Book Rating : 4.2/5 (212 download)

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Book Synopsis Singularly Perturbed Evolution Equations with Applications to Kinetic Theory by : J. R. Mika

Download or read book Singularly Perturbed Evolution Equations with Applications to Kinetic Theory written by J. R. Mika and published by World Scientific. This book was released on 1995 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years there appeared a large number of papers as well as chapters in more general monographs devoted to evolution equations containing small (or large) parameters. In this book it is intended to gather the existing results as well as to introduce new ones on the field of initial value problems for singularly perturbed evolution equations of the resonance type. Such equations are of great interest in the applied sciences, particularly in the kinetic theory which is chosen as the main field of application for the asymptotic theory developed in the monograph.

Lectures On Quantum Mechanics - Volume 3: Perturbed Evolution

Author : Berthold-georg Englert
Publisher : World Scientific Publishing Company
ISBN 13 : 9814365505
Total Pages : 211 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Lectures On Quantum Mechanics - Volume 3: Perturbed Evolution by : Berthold-georg Englert

Download or read book Lectures On Quantum Mechanics - Volume 3: Perturbed Evolution written by Berthold-georg Englert and published by World Scientific Publishing Company. This book was released on 2006-05-18 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: Note: The three volumes are not sequential but rather independent of each other and largely self-contained.Perturbed Evolution has a closer link to Simple Systems than that volume has to Basic Matters, but any reader familiar with the subject matter of a solid introduction to quantum mechanics - such as Dirac's formalism of kets and bras, Schrödinger's and Heisenberg's equations of motion, and the standard examples that can be treated exactly, with harmonic oscillators and hydrogen-like atoms among them - can cope with the somewhat advanced material of this volume. The basics of kinematics and dynamics are reviewed at the outset, including discussions of Bohr's principle of complementarity and Schwinger's quantum action principle. The Born series, the Lippmann-Schwinger equation, and Fermi's golden rule are recurring themes in the treatment of the central subject matter - the evolution in the presence of perturbing interactions for which there are no exact solutions as one has them for the standard examples in Simple Systems. The scattering by a localized potential is regarded as a perturbed evolution of a particular kind and is dealt with accordingly. The unique features of the scattering of indistinguishable quantum objects illustrate the nonclassical properties of bosons and fermions and prepare the groundwork for a discussion of multi-electron atoms.

Lectures On Quantum Mechanics (Second Edition) - Volume 3: Perturbed Evolution

Author : Berthold-georg Englert
Publisher : World Scientific
ISBN 13 : 9811284806
Total Pages : 222 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Lectures On Quantum Mechanics (Second Edition) - Volume 3: Perturbed Evolution by : Berthold-georg Englert

Download or read book Lectures On Quantum Mechanics (Second Edition) - Volume 3: Perturbed Evolution written by Berthold-georg Englert and published by World Scientific. This book was released on 2024-01-22 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Note: *The three volumes are not sequential but rather independent of each other and largely self-contained.Perturbed Evolution has a closer link to Simple Systems than it has to Basic Matters, but any reader familiar with the subject matter of a solid introduction to quantum mechanics — such as Dirac's formalism of kets and bras, Schrödinger's and Heisenberg's equations of motion, and the standard examples that can be treated exactly, with harmonic oscillators and hydrogen-like atoms among them — can cope with the somewhat advanced material of this volume. The basics of kinematics and dynamics are reviewed at the outset, including discussions of Bohr's principle of complementarity and Schwinger's quantum action principle. The Born series, the Lippmann-Schwinger equation, and Fermi's golden rule are recurring themes in the treatment of the central subject matter — the evolution in the presence of perturbing interactions for which there are no exact solutions as one has them for the standard examples in Simple Systems. The scattering by a localized potential is regarded as a perturbed evolution of a particular kind and is dealt with accordingly. The unique features of the scattering of indistinguishable quantum objects illustrate the nonclassical properties of bosons and fermions and prepare the groundwork for a discussion of multi-electron atoms.

Introduction to the General Theory of Singular Perturbations

Author : S. A. Lomov
Publisher : American Mathematical Soc.
ISBN 13 : 9780821897416
Total Pages : 402 pages
Book Rating : 4.8/5 (974 download)

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Book Synopsis Introduction to the General Theory of Singular Perturbations by : S. A. Lomov

Download or read book Introduction to the General Theory of Singular Perturbations written by S. A. Lomov and published by American Mathematical Soc.. This book was released on with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is aimed at researchers and students in physics, mathematics, and engineering. It contains the first systematic presentation of a general approach to the integration of singularly perturbed differential equations describing nonuniform transitions, such as the occurrence of a boundary layer, discontinuities, boundary effects and so on. The method of regularization of singular perturbations presented here can be applied to the asymptotic integration of systems of ordinary and partial differential equations.

Quantum Probability & Related Topics

Author : Luigi Accardi
Publisher : World Scientific
ISBN 13 : 9789810219796
Total Pages : 400 pages
Book Rating : 4.2/5 (197 download)

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Book Synopsis Quantum Probability & Related Topics by : Luigi Accardi

Download or read book Quantum Probability & Related Topics written by Luigi Accardi and published by World Scientific. This book was released on 1992 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Probability and Related Topics is a series of volumes based on materials discussed in the various QP conferences. It aims at providing an update on the rapidly growing field of classical probability, quantum physics and functional analysis.

Perturbation Theory

Author : Giuseppe Gaeta
Publisher : Springer Nature
ISBN 13 : 1071626213
Total Pages : 601 pages
Book Rating : 4.0/5 (716 download)

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Book Synopsis Perturbation Theory by : Giuseppe Gaeta

Download or read book Perturbation Theory written by Giuseppe Gaeta and published by Springer Nature. This book was released on 2022-12-16 with total page 601 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume in the Encyclopedia of Complexity and Systems Science, Second Edition, is devoted to the fundamentals of Perturbation Theory (PT) as well as key applications areas such as Classical and Quantum Mechanics, Celestial Mechanics, and Molecular Dynamics. Less traditional fields of application, such as Biological Evolution, are also discussed. Leading scientists in each area of the field provide a comprehensive picture of the landscape and the state of the art, with the specific goal of combining mathematical rigor, explicit computational methods, and relevance to concrete applications. New to this edition are chapters on Water Waves, Rogue Waves, Multiple Scales methods, legged locomotion, Condensed Matter among others, while all other contributions have been revised and updated. Coverage includes the theory of (Poincare’-Birkhoff) Normal Forms, aspects of PT in specific mathematical settings (Hamiltonian, KAM theory, Nekhoroshev theory, and symmetric systems), technical problems arising in PT with solutions, convergence of series expansions, diagrammatic methods, parametric resonance, systems with nilpotent real part, PT for non-smooth systems, and on PT for PDEs [write out this acronym partial differential equations]. Another group of papers is focused specifically on applications to Celestial Mechanics, Quantum Mechanics and the related semiclassical PT, Quantum Bifurcations, Molecular Dynamics, the so-called choreographies in the N-body problem, as well as Evolutionary Theory. Overall, this unique volume serves to demonstrate the wide utility of PT, while creating a foundation for innovations from a new generation of graduate students and professionals in Physics, Mathematics, Mechanics, Engineering and the Biological Sciences.

Principles of Quantum Computation and Information: Basic tools and special topics

Author : Giuliano Benenti
Publisher : World Scientific
ISBN 13 : 9812563458
Total Pages : 445 pages
Book Rating : 4.8/5 (125 download)

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Book Synopsis Principles of Quantum Computation and Information: Basic tools and special topics by : Giuliano Benenti

Download or read book Principles of Quantum Computation and Information: Basic tools and special topics written by Giuliano Benenti and published by World Scientific. This book was released on 2004 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Quantum computation and information is a new, rapidly developing interdisciplinary field. Therefore, it is not easy to understand its fundamental concepts and central results without facing numerous technical details. This book provides the reader a useful and not-too-heavy guide. It offers a simple and self-contained introduction; no previous knowledge of quantum mechanics or classical computation is required.

Perturbation Analysis of Discrete Event Dynamic Systems

Author : Yu-Chi (Larry) Ho
Publisher : Springer Science & Business Media
ISBN 13 : 1461540240
Total Pages : 449 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Perturbation Analysis of Discrete Event Dynamic Systems by : Yu-Chi (Larry) Ho

Download or read book Perturbation Analysis of Discrete Event Dynamic Systems written by Yu-Chi (Larry) Ho and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamic Systems (DEDS) are almost endless: military C31 Ilogistic systems, the emergency ward of a metropolitan hospital, back offices of large insurance and brokerage fums, service and spare part operations of multinational fums . . . . the point is the pervasive nature of such systems in the daily life of human beings. Yet DEDS is a relatively new phenomenon in dynamic systems studies. From the days of Galileo to Newton to quantum mechanics and cosmology of the present, dynamic systems in nature are primarily differential equations based and time driven. A large literature and endless success stories have been built up on such Continuous Variable Dynamic Systems (CVDS). It is, however, equally clear that DEDS are fundamentally different from CVDS. They are event driven, asynchronous, mostly man-made and only became significant during the past generation. Increasingly, however, it can be argued that in the modem world our lives are being impacted by and dependent upon the efficient operations of such DEDS. Yet compared to the successful paradigm of differential equations for CVDS the mathematical modelling of DEDS is in its infancy. Nor are there as many successful and established techniques for their analysis and synthesis. The purpose of this series is to promote the study and understanding of the modelling, analysis, control, and management of DEDS. The idea of the series came from editing a special issue of the Proceedings of IEEE on DEOS during 1988.

Monthly Weather Review

Author :
Publisher :
ISBN 13 :
Total Pages : 910 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Monthly Weather Review by :

Download or read book Monthly Weather Review written by and published by . This book was released on 1993 with total page 910 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advances in Heat Transfer and Fluid Dynamics

Author : Mohammad Altamush Siddiqui
Publisher : Springer Nature
ISBN 13 : 9819972132
Total Pages : 425 pages
Book Rating : 4.8/5 (199 download)

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Book Synopsis Advances in Heat Transfer and Fluid Dynamics by : Mohammad Altamush Siddiqui

Download or read book Advances in Heat Transfer and Fluid Dynamics written by Mohammad Altamush Siddiqui and published by Springer Nature. This book was released on with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt:

European Control Conference 1993

Author :
Publisher : European Control Association
ISBN 13 : 9789036703741
Total Pages : 852 pages
Book Rating : 4.7/5 (37 download)

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Book Synopsis European Control Conference 1993 by :

Download or read book European Control Conference 1993 written by and published by European Control Association. This book was released on 1993-06-28 with total page 852 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the European Control Conference 1993, Groningen, Netherlands, June 28 – July 1, 1993

The Primordial Density Perturbation

Author : David H. Lyth
Publisher : Cambridge University Press
ISBN 13 : 1139643746
Total Pages : 516 pages
Book Rating : 4.1/5 (396 download)

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Book Synopsis The Primordial Density Perturbation by : David H. Lyth

Download or read book The Primordial Density Perturbation written by David H. Lyth and published by Cambridge University Press. This book was released on 2009-06-11 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: The origin and evolution of the primordial perturbation is the key to understanding structure formation in the earliest stages of the Universe. It carries clues to the types of physical phenomena active in that extreme high-density environment. Through its evolution, generating first the observed cosmic microwave background anisotropies and later the distribution of galaxies and dark matter in the Universe, it probes the properties and dynamics of the present Universe. This graduate-level textbook gives a thorough account of theoretical cosmology and perturbations in the early Universe, describing their observational consequences and showing how to relate such observations to primordial physical processes, particularly cosmological inflation. With ambitious observational programmes complementing ever-increasing sophistication in theoretical modelling, cosmological studies will remain at the cutting edge of astrophysical studies for the foreseeable future.

Perturbation, Behavioural Feedbacks, and Population Dynamics in Social Animals

Author : Daniel Oro
Publisher : Oxford University Press
ISBN 13 : 0192589741
Total Pages : 176 pages
Book Rating : 4.1/5 (925 download)

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Book Synopsis Perturbation, Behavioural Feedbacks, and Population Dynamics in Social Animals by : Daniel Oro

Download or read book Perturbation, Behavioural Feedbacks, and Population Dynamics in Social Animals written by Daniel Oro and published by Oxford University Press. This book was released on 2020-03-26 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This novel, transdisciplinary work explains how perturbations (defined as strong disturbances or deviations to a system) can affect the population dynamics of social animals, including ourselves. Social responses to perturbations, especially dispersal processes, can also generate non-linear population dynamics, including the potential appearance of tipping points and critical population transitions, which can in turn lead to catastrophic shifts and collapses. The book describes the links between social behaviour (mainly the use of social information and social copying), and non-linear population dynamics at different spatial scales (local dynamics and meta-population dynamics), and their ecological and evolutionary consequences. Examples from the natural world illustrate each of the main themes (prospecting, habitat suitability, collective dispersal, and cultural evolution). Human warfare and conflict, referred to in several chapters together with quantitative and qualitative examples, is also viewed as a form of perturbation and represents a paradigmatic example of the rationale behind this book. This applicability to our own species is particularly timely, given increased interest in both ecosystem change, human migration, and the global refugee crisis. Perturbation, Behavioural Feedbacks, and Population Dynamics in Social Animals will appeal to applied, theoretical, and evolutionary ecologists, particularly those working on the population and behavioural ecology of any social animal including humans. Its overlap with the study of complexity will also ensure its relevance and use to scientists from other disciplines such as sociology, anthropology, physics, computational science, economics, and mathematics.

Generalized Perturbations in Modified Gravity and Dark Energy

Author : Jonathan Pearson
Publisher : Springer Science & Business Media
ISBN 13 : 331901210X
Total Pages : 213 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Generalized Perturbations in Modified Gravity and Dark Energy by : Jonathan Pearson

Download or read book Generalized Perturbations in Modified Gravity and Dark Energy written by Jonathan Pearson and published by Springer Science & Business Media. This book was released on 2013-09-20 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: When predictions of Einstein's theory of General Relativity are compared against observations of our Universe, a huge inconsistency is found. The most popular fix for this inconsistency is to "invent" around 94% of the content of the universe: dark matter and dark energy. The dark energy is some exotic substance responsible for the apparent observed acceleration of the Universe. Another fix is to modify the theory of gravity: it is entirely plausible that Einstein's theory of General Relativity breaks down on cosmological scales, just as Newton's theory of gravity breaks down in the extreme gravitational field of the Sun. There are many alternative theories of gravity, each with the aim of describing observations of our Universe where General Relativity fails. Whether it is dark energy or some modified theory of gravity, it is clear that there is some "dark sector" in the Universe. In this thesis the author constructs a unifying framework for understanding the observational impact of general classes of dark sector theories, by formulating equations of state for the dark sector perturbations.

Operators, Semigroups, Algebras and Function Theory

Author : Yemon Choi
Publisher : Springer Nature
ISBN 13 : 3031380207
Total Pages : 262 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Operators, Semigroups, Algebras and Function Theory by : Yemon Choi

Download or read book Operators, Semigroups, Algebras and Function Theory written by Yemon Choi and published by Springer Nature. This book was released on 2023-12-06 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects contributions from participants in the IWOTA conference held virtually at Lancaster, UK, originally scheduled in 2020 but postponed to August 2021. It includes both survey articles and original research papers covering some of the main themes of the meeting.

Ceramic Microstructures

Author : Antoni P. Tomsia
Publisher : Springer Science & Business Media
ISBN 13 : 9780306458170
Total Pages : 876 pages
Book Rating : 4.4/5 (581 download)

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Book Synopsis Ceramic Microstructures by : Antoni P. Tomsia

Download or read book Ceramic Microstructures written by Antoni P. Tomsia and published by Springer Science & Business Media. This book was released on 1998-04-30 with total page 876 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, titled Proceedings of the International Materials Symposium on Ce ramic Microstructures: Control at the Atomic Level summarizes the progress that has been achieved during the past decade in understanding and controlling microstructures in ceram ics. A particular emphasis of the symposium, and therefore of this volume, is advances in the characterization, understanding, and control of micro structures at the atomic or near-atomic level. This symposium is the fourth in a series of meetings, held every ten years, devoted to ceramic microstructures. The inaugural meeting took place in 1966, and focussed on the analysis, significance, and production of microstructure; the symposium emphasized the need for, and importance of characterization in achieving a more complete understanding of the physical and chemical characteristics of ceramics. A consensus emerged at that meeting on the critical importance of characterization in achieving a more complete understanding of ceramic properties. That point of view became widely accepted in the ensuing decade. The second meeting took place in 1976 at a time of world-wide energy shortages and thus emphasized energy-related applications of ceramics, and more specifically, microstructure-property relationships of those materials. The third meeting, held in 1986, was devoted to the role that interfaces played both during processing, and in influencing the ultimate properties of single and polyphase ceramics, and ceramic-metal systems.