Since the first description by John Scott Russel in 1834, the solitary wave phenomenon has attracted considerable interests from scientists. The most interesting discovery since then has been the ability to integrate most of the nonlinear wave equations which govern solitary waves, from the Korteweg-de Vries equation to the nonlinear Schrödinger equation, in the 1960's. From that moment, a huge amount of theoretical works can be found on solitary waves. Due to the fact that many physical phenomena can be described by a soliton model, applications have followed each other, in telecommunications first, where the propagation of solitons in fiber optics helps in increasing transmission capacity, thanks to their inherent stability, which make long-distance transmission possible without the use of repeaters. The aim of this book is to present a state of the art theoretical study of solitary waves. Prominent actual works on solitary waves are described.

Astrobiology refers to the study of the origin, evolution, distribution, and future of life in the universe. This encompasses extraterrestrial life and life on Earth. Astrobiology is an interdisciplinary field that is gaining a rapidly growing interest among both the general public and the astronomical research community. This e-book explains the detection and evolution of exoplanets and discusses the question of habitability on such objects. Chapters in this text include cited references enabling the reader to acquire more information on specific aspects of astrobiology. It is also a suitable textbook for introductory taught courses in universities and colleges on the subject.

Scientific Natural Philosophy explains the nature and content of scientific natural philosophy, particularly qualitative modeling, and updates scientific methodology by providing details of the mathematics involved. The book presents a total view of our universe, from the fractal superstring to its destiny as black holes back in to dark matter, and to the timeless and boundless ‘Universe’ where our universe is a local super, super galaxy. It stresses the various levels of complementarity between qualitative and quantitative modeling where the former solves and answers questions the latter could not and duality between quantum and macro gravity. It highlights new information from the Grand Unification Theory (GUT) missing in previous philosophical works such as the indestructible generalized nested fractal superstring, brain waves as common medium of the brain and gene for their functions. Moreover, it points to a new technological epoch brought about by the GUT based on utilization of dark matter towards elevating the quality of life. This comprehensive book provides an exciting perspective on this fascinating field to the reader. explains the nature and content of scientific natural philosophy, particularly qualitative modeling, and updates scientific methodology by providing details of the mathematics involved. The book presents a total view of our universe, from the fractal superstring to its destiny as black holes back in to dark matter, and to the timeless and boundless ‘Universe’ where our universe is a local super, super galaxy. It stresses the various levels of complementarity between qualitative and quantitative modeling where the former solves and answers questions the latter could not and duality between quantum and macro gravity. It highlights new information from the Grand Unification Theory (GUT) missing in previous philosophical works such as the indestructible generalized nested fractal superstring, brain waves as common medium of the brain and gene for their functions. Moreover, it points to a new technological epoch brought about by the GUT based on utilization of dark matter towards elevating the quality of life. This comprehensive book provides an exciting perspective on this fascinating field to the reader. explains the nature and content of scientific natural philosophy, particularly qualitative modeling, and updates scientific methodology by providing details of the mathematics involved. The book presents a total view of our universe, from the fractal superstring to its destiny as black holes back in to dark matter, and to the timeless and boundless ‘Universe’ where our universe is a local super, super galaxy. It stresses the various levels of complementarity between qualitative and quantitative modeling where the former solves and answers questions the latter could not and duality between quantum and macro gravity. It highlights new information from the Grand Unification Theory (GUT) missing in previous philosophical works such as the indestructible generalized nested fractal superstring, brain waves as common medium of the brain and gene for their functions. Moreover, it points to a new technological epoch brought about by the GUT based on utilization of dark matter towards elevating the quality of life. This comprehensive book provides an exciting perspective on this fascinating field to the reader.

The book presents a multidisciplinary analysis of the context of quantum physics experiments and the function of the human mind that makes it possible to demonstrate that an object-based model of reality formed at the level of the unconscious is the basis of our worldview. The consciousness experiences a ''time flow'' because of the specific features of perception in the form of a model with a sequential fixation of events. Together with the need to relate objects in terms of the model, this generates a space-time representation of the world around us. Acceptance of a mental character of our construct of reality allows for resolution of the problems in quantum physics and its paradoxes, thereby opening the way to an insight into reality. The presented material is organized in a specific order to facilitate the reader's understanding. First, the fact that if there are no objects in the area of quantum mechanics, then they belong to the corresponding model rather than the reality is proved by case studies of the most discussed and relevant paradoxes of quantum physics. The authors consider a topological variant in constructing an object-based space that describes the physical properties of an object that are the most verified in science and describable with mathematical relations. The functionality of the proposed construct is tested by deriving the ''laws'' of conservation of energy and momentum in a relativistic form. The book is oriented towards experts in physics and psychology, advanced students, and readers interested in state-of-the-art science and the philosophy connected to it.

This e-book is a collection of chapters on practical and theoretical aspects of atmospheric flows over flat and complex terrain, with applications to air pollution and wind energy. It is divided into two main sections: the first section deals with atmospheric dynamics, and the second section explains the planetary boundary-layer parameterization that is a key issue for the definition of initial wind flow fields in meteorological and prognostic estimation of turbulence - “Ensemble Nowcasting” for short term prediction. The e-book is unique in that it features a combination of theoretical, analytical and numerical techniques, and tools where the techniques presented in the e-book are demonstrated and can be replicated by the reader. These practical tools can be used to easily test selected mathematical formulation or for performing a swift sensitivity analysis. The tools presented in this reference work focus primarily on mixing height evaluation, representative day identification and PBL characterization by elementary measurements evaluated at surface level. This e-book should be a valuable reference for readers interested in the meteorology of atmospheric wind flows.

This comprehensive text describes the phenomenon of atomic coherence and the applications in several processes. Various sections have been written by eminent authors who have made extensive contributions in the field of quantum interference. Discussions are on microscopic nano-resolution techniques, lithography, photonic band gap control and much more. The Ebook is unique in its approach with experimental demonstrations and it should be a particularly useful reference for aspiring theoretical physicists, looking for a comprehensive review of applications in this active research field within a single book.

Ever since some stars were found to pulsate in the early 20th century, stellar pulsation has been a major topic in astronomy and astrophysics. The huge amount of data recently available from observational surveys, new discoveries from space missions and studies of pulsating stars in low-metallicity environments have opened new perspectives and challenges. Nevertheless, progress in finding the holy grail of stellar pulsation – the use of pulsation to study stellar interiors (asteroseismology) – has been slow. The realization that a problem exists with the current stellar opacities is a major setback. CURRENT CHALLENGES IN STELLAR PULSATION describes the search for solutions to these problems over the last few years. It summarizes recent research in all fields of stellar pulsation, providing valuable guidelines to both students and researchers in the field.

This textbook primarily explains the construction of classical fluid model to readers in a holistic manner and the way it is constructed. Secondly, the book also demonstrates some possible modifications of the initial model which either make the model applicable in some special cases (viscous or turbulent fluids) or simplify it in accordance with peculiarity of a particular problem (hydrostatics, two-dimensional flows, boundary layers, etc.). The book explains theoretical concepts in two parts. The first part is dedicated to the derivation of the classical model of the perfect fluid. The second part of the book covers important modifications to the fluid model which account for calculations of momentum, force and the laws of energy conservation. Concepts in this section include the redefinition of the stress tensor in cases of viscous or turbulent flows and laminar and turbulent boundary layers. The text is supplemented by appropriate exercises and problems which may be used in practical classes. These additions serve to teach students how to work with complex systems governed by differential equations. Classical Fluid Mechanics is an ideal textbook for students undertaking semester courses on fluid physics and mechanics in undergraduate degree programs. This textbook primarily explains the construction of classical fluid model to readers in a holistic manner and the way it is constructed. Secondly, the book also demonstrates some possible modifications of the initial model which either make the model applicable in some special cases (viscous or turbulent fluids) or simplify it in accordance with peculiarity of a particular problem (hydrostatics, two-dimensional flows, boundary layers, etc.). The book explains theoretical concepts in two parts. The first part is dedicated to the derivation of the classical model of the perfect fluid. The second part of the book covers important modifications to the fluid model which account for calculations of momentum, force and the laws of energy conservation. Concepts in this section include the redefinition of the stress tensor in cases of viscous or turbulent flows and laminar and turbulent boundary layers. The text is supplemented by appropriate exercises and problems which may be used in practical classes. These additions serve to teach students how to work with complex systems governed by differential equations. Classical Fluid Mechanics is an ideal textbook for students undertaking semester courses on fluid physics and mechanics in undergraduate degree programs.

This unique textbook presents a novel, axiomatic pedagogical path from classical to quantum physics. Readers are introduced to the description of classical mechanics, which rests on Euler’s and Helmholtz’s rather than Newton’s or Hamilton’s representations. Special attention is given to the common attributes rather than to the differences between classical and quantum mechanics. Readers will also learn about Schrödinger’s forgotten demands on quantization, his equation, Einstein’s idea of ‘quantization as selection problem’. The Schrödinger equation is derived without any assumptions about the nature of quantum systems, such as interference and superposition, or the existence of a quantum of action, h. The use of the classical expressions for the potential and kinetic energies within quantum physics is justified. </p> <p> Key features: · Presents extensive reference to original texts. </p> <p> · Includes many details that do not enter contemporary representations of classical mechanics, although these details are essential for understanding quantum physics. </p> <p> · Contains a simple level of mathematics which is seldom higher than that of the common (Riemannian) integral. </p> <p> · Brings information about important scientists </p> <p> · Carefully introduces basic equations, notations and quantities in simple steps </p> <p> This book addresses the needs of physics students, teachers and historians with its simple easy to understand presentation and comprehensive approach to both classical and quantum mechanics.. </p>

In Density Matrix Theories in Quantum Physics, the author explores new possibilities for the main quantities in quantum physics – the statistical operator and the density matrix. The starting point in this exploration is the Lindblad equation for the statistical operator, where the main element of influence on a system by its environment is the dissipative operator. Bondarev has developed the theory of the harmonic oscillator, in which he finds the density matrix and proves the Heisenberg relation. Bondarev has written the dissipative diffusion and attenuation operators and proven the equivalence of the Wigner and Fokker–Planck equations using them. He further develops theories of the light-emitting diode and ball lightning. Bondarev also derives equations for the density matrix of a single particle and a system of identical particles. These equations have a remarkable property: when the density matrix has a diagonal shape they turn into a quantum kinetic equation for probability. Additional chapters in the book present new theories of experimentally discovered phenomena, such as the step kinetics of bimolecular reactions in solids, superconductivity, superfluidity, the energy spectrum of an arbitrary atom, lasers, spasers, and graphene. Density Matrix Theories in Quantum Physics is an informative reference for theoretical physicists interested in new theories on the subject of complex physical phenomena, quantum theory and density matrices.