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31 Hertel, Peter Quantum Theory and Statistical Thermodynamics I10295 2017 eBook  
32 Nassar, Antonio B Bohmian Mechanics, Open Quantum Systems and Continuous Measurements I10293 2017 eBook  
33 Sch??ll, Eckehard Control of Self-Organizing Nonlinear Systems I10292 2016 eBook  
34 Hall, Michael J. W Ensembles on Configuration Space I10264 2016 eBook  
35 Skokos, Charalampos (Haris) Chaos Detection and Predictability I10263 2016 eBook  
36 Fieguth, Paul An Introduction to Complex Systems I10260 2017 eBook  
37 ??irca, Simon Probability for Physicists I10254 2016 eBook  
38 Onorato, Miguel Rogue and Shock Waves in Nonlinear Dispersive Media I10253 2016 eBook  
39 Xu, Jian-Jun Interfacial Wave Theory of Pattern Formation in Solidification I10247 2017 eBook  
40 Tobisch, Elena New Approaches to Nonlinear Waves I10244 2016 eBook  
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31.    
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TitleQuantum Theory and Statistical Thermodynamics : Principles and Worked Examples
Author(s)Hertel, Peter
PublicationCham, Springer International Publishing, 2017.
DescriptionXIV, 368 p. 27 illus., 17 illus. in color : online resource
Abstract NoteThis textbook presents a concise yet detailed introduction to quantum physics. Concise, because it condenses the essentials to a few principles. Detailed, because these few principles ??? necessarily rather abstract ??? are illustrated by several telling examples. A fairly complete overview of the conventional quantum mechanics curriculum is the primary focus, but the huge field of statistical thermodynamics is covered as well. The text explains why a few key discoveries shattered the prevailing broadly accepted classical view of physics. First, matter appears to consist of particles which, when propagating, resemble waves. Consequently, some observable properties cannot be measured simultaneously with arbitrary precision. Second, events with single particles are not determined, but are more or less probable. The essence of this is that the observable properties of a physical system are to be represented by non-commuting mathematical objects instead of real numbers. Chapters on exceptionally simple, but highly instructive examples illustrate this abstract formulation of quantum physics. The simplest atoms, ions, and molecules are explained, describing their interaction with electromagnetic radiation as well as the scattering of particles. A short introduction to many particle physics with an outlook on quantum fields follows. There is a chapter on maximally mixed states of very large systems, that is statistical thermodynamics. The following chapter on the linear response to perturbations provides a link to the material equations of continuum physics. Mathematical details which would hinder the flow of the main text have been deferred to an appendix. The book addresses university students of physics and related fields. It will attract graduate students and professionals in particular who wish to systematize or refresh their knowledge of quantum physics when studying specialized texts on solid state and materials physics, advanced optics, and other modern fields
ISBN,Price9783319585956
Keyword(s)1. Condensed materials 2. EBOOK 3. EBOOK - SPRINGER 4. Phase transformations (Statistical physics) 5. Quantum Gases and Condensates 6. QUANTUM PHYSICS 7. STATISTICAL PHYSICS 8. Statistical Physics and Dynamical Systems
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32.     
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TitleBohmian Mechanics, Open Quantum Systems and Continuous Measurements
Author(s)Nassar, Antonio B;Miret-Art??s, Salvador
PublicationCham, Springer International Publishing, 2017.
DescriptionXVII, 241 p. 19 illus., 12 illus. in color : online resource
Abstract NoteThis book shows how Bohmian mechanics overcomes the need for a measurement postulate involving wave function collapse.????The measuring process plays a very important role in quantum mechanics. It has been??widely analyzed within??the Copenhagen approach through the Born and von Neumann postulates, with later extension due to L??ders.??In contrast, much less effort has been??invested in the measurement theory within the Bohmian mechanics framework. The continuous measurement (sharp and fuzzy, or strong and weak) problem is considered here??in this framework. The authors begin??by??generalizing the so-called Mensky approach, which is based on restricted path integral through quantum corridors. The measuring system is then considered to be an open quantum system following a stochastic Schr??dinger equation. Quantum stochastic trajectories (in the Bohmian sense)??and their role in??basic quantum processes are discussed in detail. The decoherence process is thereby described in terms of classical trajectories issuing from the violation of the noncrossing rule of quantum trajectories
ISBN,Price9783319536538
Keyword(s)1. COMPLEX SYSTEMS 2. DYNAMICAL SYSTEMS 3. EBOOK 4. EBOOK - SPRINGER 5. History and Philosophical Foundations of Physics 6. Measurement Science and Instrumentation 7. Measurement?????? 8. PHYSICAL MEASUREMENTS 9. PHYSICS 10. QUANTUM PHYSICS 11. STATISTICAL PHYSICS 12. Statistical Physics and Dynamical Systems
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33.     
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TitleControl of Self-Organizing Nonlinear Systems
Author(s)Sch??ll, Eckehard;Klapp, Sabine H. L;H??vel, Philipp
PublicationCham, Springer International Publishing, 2016.
DescriptionXVII, 475 p. 159 illus., 117 illus. in color : online resource
Abstract NoteThe book summarizes the state-of-the-art of research on control of self-organizing nonlinear systems with contributions from leading international experts in the field. The first focus concerns recent methodological developments including control of networks and of noisy and time-delayed systems. As a second focus, the book features emerging concepts of application including control of quantum systems, soft condensed matter, and biological systems. Special topics reflecting the active research in the field are the analysis and control of chimera states in classical networks and in quantum systems, the mathematical treatment of multiscale systems, the control of colloidal and quantum transport, the control of epidemics and of neural network dynamics
ISBN,Price9783319280288
Keyword(s)1. Amorphous substances 2. Biological systems 3. Complex fluids 4. COMPLEX SYSTEMS 5. DYNAMICAL SYSTEMS 6. EBOOK 7. EBOOK - SPRINGER 8. Mathematical Methods in Physics 9. PHYSICS 10. Soft and Granular Matter, Complex Fluids and Microfluidics 11. STATISTICAL PHYSICS 12. Statistical Physics and Dynamical Systems 13. SYSTEM THEORY 14. Systems biology
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34.     
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TitleEnsembles on Configuration Space : Classical, Quantum, and Beyond
Author(s)Hall, Michael J. W;Reginatto, Marcel
PublicationCham, Springer International Publishing, 2016.
DescriptionXIV, 280 p. 3 illus : online resource
Abstract NoteThis book describes a promising approach to problems in the foundations of quantum mechanics, including the measurement problem. The dynamics of ensembles on configuration space is shown here to be a valuable tool for unifying the formalisms of classical and quantum mechanics, for deriving and extending the latter in various ways, and for addressing the quantum measurement problem. A description of physical systems by means of ensembles on configuration space can be introduced at a very fundamental level: the basic building blocks are a configuration space, probabilities, and Hamiltonian equations of motion for the probabilities. The formalism can describe both classical and quantum systems, and their thermodynamics, with the main difference being the choice of ensemble Hamiltonian. Furthermore, there is a natural way of introducing ensemble Hamiltonians that describe the evolution of hybrid systems; i.e., interacting systems that have distinct classical and quantum sectors, allowing for consistent descriptions of quantum systems interacting with classical measurement devices and quantum matter fields interacting gravitationally with a classical spacetime
ISBN,Price9783319341668
Keyword(s)1. COMPLEX SYSTEMS 2. DYNAMICAL SYSTEMS 3. EBOOK 4. EBOOK - SPRINGER 5. MATHEMATICAL PHYSICS 6. QUANTUM PHYSICS 7. STATISTICAL PHYSICS 8. Statistical Physics and Dynamical Systems
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35.     
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TitleChaos Detection and Predictability
Author(s)Skokos, Charalampos (Haris);Gottwald, Georg A;Laskar, Jacques
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2016.
DescriptionXI, 269 p. 122 illus., 44 illus. in color : online resource
Abstract NoteDistinguishing chaoticity from regularity in deterministic dynamical systems and specifying the subspace of the phase space in which instabilities are expected to occur is of utmost importance in as disparate areas as astronomy, particle physics and climate dynamics. To address these issues there exists a plethora of methods for chaos detection and predictability. The most commonly employed technique for investigating chaotic dynamics, i.e. the computation of Lyapunov exponents, however, may suffer a number of problems and drawbacks, for example when applied to noisy experimental data. In the last two decades, several novel methods have been developed for the fast and reliable determination of the regular or chaotic nature of orbits, aimed at overcoming the shortcomings of more traditional techniques. This set of lecture notes and tutorial reviews serves as an introduction to and overview of modern chaos detection and predictability techniques for graduate students and non-specialists. The book covers theoretical and computational aspects of traditional methods to calculate Lyapunov exponents, as well as of modern techniques like the Fast (FLI), the Orthogonal (OFLI) and the Relative (RLI) Lyapunov Indicators, the Mean Exponential Growth factor of Nearby Orbits (MEGNO), the Smaller (SALI) and the Generalized (GALI) Alignment Index and the ???0-1??? test for chaos
ISBN,Price9783662484104
Keyword(s)1. Applications of Nonlinear Dynamics and Chaos Theory 2. Earth System Sciences 3. EBOOK 4. EBOOK - SPRINGER 5. Mathematical Applications in the Physical Sciences 6. Mathematical Methods in Physics 7. MATHEMATICAL PHYSICS 8. Physical geography 9. PHYSICS 10. SPACE SCIENCES 11. Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics) 12. STATISTICAL PHYSICS
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36.     
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TitleAn Introduction to Complex Systems : Society, Ecology, and Nonlinear Dynamics
Author(s)Fieguth, Paul
PublicationCham, Springer International Publishing, 2017.
DescriptionXII, 346 p. 243 illus., 178 illus. in color : online resource
Abstract NoteThis undergraduate text explores a variety of large-scale phenomena - global warming, ice ages, water, poverty - and uses these case studies as a motivation to explore nonlinear dynamics, power-law statistics, and complex systems. Although the detailed mathematical descriptions of these topics can be challenging, the consequences of a system being nonlinear, power-law, or complex are in fact quite accessible. This book blends a tutorial approach to the mathematical aspects of complex systems together with a complementary narrative on the global/ecological/societal implications of such systems. Nearly all engineering undergraduate courses focus on mathematics and systems which are small scale, linear, and Gaussian. Unfortunately there is not a single large-scale ecological or social phenomenon that is scalar, linear, and Gaussian. This book offers students insights to better understand the large-scale problems facing the world and to realize that these cannot be solved by a single, narrow academic field or perspective. Instead, the book seeks to emphasize understanding, concepts, and ideas, in a way that is mathematically rigorous, so that the concepts do not feel vague, but not so technical that the mathematics get in the way. The book is intended for undergraduate students in a technical domain such as engineering, computer science, physics, mathematics, and environmental studies
ISBN,Price9783319446066
Keyword(s)1. CLIMATE CHANGE 2. COMPLEX SYSTEMS 3. COMPLEXITY 4. COMPUTATIONAL COMPLEXITY 5. DYNAMICAL SYSTEMS 6. Earth System Sciences 7. EBOOK 8. EBOOK - SPRINGER 9. GAME THEORY 10. Physical geography 11. STATISTICAL PHYSICS 12. SYSTEM THEORY
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37.     
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TitleProbability for Physicists
Author(s)??irca, Simon
PublicationCham, Springer International Publishing, 2016.
DescriptionXIV, 415 p. 142 illus., 29 illus. in color : online resource
Abstract NoteThis book is designed as a practical and intuitive introduction to probability, statistics and random quantities for physicists. The book aims at getting to the main points by a clear, hands-on exposition supported by well-illustrated and worked-out examples. A strong focus on applications in physics and other natural sciences is maintained throughout. In addition to basic concepts of random variables, distributions, expected values and statistics, the book discusses the notions of entropy, Markov processes, and fundamentals of random number generation and Monte-Carlo methods
ISBN,Price9783319316116
Keyword(s)1. Chemistry, Physical and theoretical 2. COMPLEX SYSTEMS 3. DYNAMICAL SYSTEMS 4. EBOOK 5. EBOOK - SPRINGER 6. Mathematical Applications in the Physical Sciences 7. Mathematical Methods in Physics 8. MATHEMATICAL PHYSICS 9. PHYSICS 10. PROBABILITIES 11. Probability Theory and Stochastic Processes 12. STATISTICAL PHYSICS 13. Statistical Physics and Dynamical Systems 14. Theoretical and Computational Chemistry
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38.     
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TitleRogue and Shock Waves in Nonlinear Dispersive Media
Author(s)Onorato, Miguel;Resitori, Stefania;Baronio, Fabio
PublicationCham, Springer International Publishing, 2016.
DescriptionXIII, 370 p. 152 illus., 132 illus. in color : online resource
Abstract NoteThis self-contained set of lectures addresses a gap in the literature by providing a systematic link between the theoretical foundations of the subject matter and cutting-edge applications in both geophysical fluid dynamics and nonlinear optics. Rogue and shock waves are phenomena that may occur in the propagation of waves in any nonlinear dispersive medium. Accordingly, they have been observed in disparate settings ??? as ocean waves, in nonlinear optics, in Bose-Einstein condensates, and in plasmas. Rogue and dispersive shock waves are both characterized by the development of extremes: for the former, the wave amplitude becomes unusually large, while for the latter, gradients reach extreme values. Both aspects strongly influence the statistical properties of the wave propagation and are thus considered together here in terms of their underlying theoretical treatment. This book offers a self-contained graduate-level text intended as both an introduction and reference guide for a new generation of scientists working on rogue and shock wave phenomena across a broad range of fields in applied physics and geophysics
ISBN,Price9783319392141
Keyword(s)1. Applications of Nonlinear Dynamics and Chaos Theory 2. EBOOK 3. EBOOK - SPRINGER 4. Fluid- and Aerodynamics 5. FLUIDS 6. GEOPHYSICS 7. Geophysics and Environmental Physics 8. Geophysics/Geodesy 9. LASERS 10. Optics, Lasers, Photonics, Optical Devices 11. PHOTONICS 12. STATISTICAL PHYSICS
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39.     
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TitleInterfacial Wave Theory of Pattern Formation in Solidification : Dendrites, Fingers, Cells and Free Boundaries
Author(s)Xu, Jian-Jun
PublicationCham, Springer International Publishing, 2017.
DescriptionXX, 591 p. 168 illus., 69 illus. in color : online resource
Abstract NoteThis comprehensive work explores interfacial instability and pattern formation in dynamic systems away from the equilibrium state in solidification and crystal growth. Further, this significantly expanded 2nd edition introduces and reviews the progress made during the last two decades. In particular, it describes the most prominent pattern formation phenomena commonly observed in material processing and crystal growth in the framework of the previously established interfacial wave theory, including free dendritic growth from undercooled melt, cellular growth and eutectic growth in directional solidification, as well as viscous fingering in Hele-Shaw flow. It elucidates the key problems, systematically derives their mathematical solutions by pursuing a unified, asymptotic approach, and finally carefully examines these results by comparing them with the available experimental results. The asymptotic approach described here will be useful for the investigation of pattern formation phenomena occurring in a much broader class of inhomogeneous dynamical systems. In addition, the results on global stability and selection mechanisms of pattern formation will be of particular interest to researchers working on material processing and crystal growth. The stability mechanisms of a curved front and the pattern formation have been fundamental subjects in the areas of condensed-matter physics, materials science, crystal growth, and fluid mechanics for some time now. This book offers a stimulating and insightful introduction for all physicists, engineers and applied mathematicians working in the fields of soft condensed-matter physics, materials science, mechanical and chemical engineering, fluid dynamics, and nonlinear sciences
ISBN,Price9783319526638
Keyword(s)1. Amorphous substances 2. Applications of Nonlinear Dynamics and Chaos Theory 3. CHEMICAL ENGINEERING 4. Complex fluids 5. EBOOK 6. EBOOK - SPRINGER 7. Engineering Fluid Dynamics 8. FLUID MECHANICS 9. Industrial Chemistry/Chemical Engineering 10. Materials???Surfaces 11. Soft and Granular Matter, Complex Fluids and Microfluidics 12. STATISTICAL PHYSICS 13. Surfaces and Interfaces, Thin Films 14. THIN FILMS
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40.    
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TitleNew Approaches to Nonlinear Waves
Author(s)Tobisch, Elena
PublicationCham, Springer International Publishing, 2016.
DescriptionXV, 298 p. 65 illus., 15 illus. in color : online resource
Abstract NoteThe book details a few of the novel methods developed in the last few years for studying various aspects of nonlinear wave systems. The introductory chapter provides a general overview, thematically linking the objects described in the book. Two chapters are devoted to wave systems possessing resonances with linear frequencies (Chapter 2) and with nonlinear frequencies (Chapter 3). In the next two chapters modulation instability in the KdV-type of equations is studied using rigorous mathematical methods (Chapter 4) and its possible connection to freak waves is investigated (Chapter 5). The book goes on to demonstrate how the choice of the Hamiltonian (Chapter 6) or the Lagrangian (Chapter 7) framework allows us to gain a deeper insight into the properties of a specific wave system. The final chapter discusses problems encountered when attempting to verify the theoretical predictions using numerical or laboratory experiments. All the chapters are illustrated by ample constructive examples demonstrating the applicability of these novel methods and approaches to a wide class of evolutionary dispersive PDEs, e.g. equations from Benjamin-Oro, Boussinesq, Hasegawa-Mima,?? KdV-type,?? Klein-Gordon, NLS-type, Serre,?? Shamel , Whitham and Zakharov. This makes the book interesting for professionals in the fields of nonlinear physics, applied mathematics and fluid mechanics as well as students who are studying these subjects. The book can also be used as a basis for a one-semester lecture course in applied mathematics or mathematical physics. ?? ??
ISBN,Price9783319206905
Keyword(s)1. Classical and Continuum Physics 2. COMPLEX SYSTEMS 3. Continuum physics 4. DYNAMICAL SYSTEMS 5. EBOOK 6. EBOOK - SPRINGER 7. GEOPHYSICS 8. Geophysics and Environmental Physics 9. MATHEMATICAL PHYSICS 10. STATISTICAL PHYSICS 11. Statistical Physics and Dynamical Systems 12. Theoretical, Mathematical and Computational Physics
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