This ebook covers fast transform algorithms, analyses, and applications in a single volume. It is the result of the collaboration by the author with others in the world wide university community and has been accumulated over the author’s working lifetime of about 40 years. It has now culminated in a nice mix of theoretical development and practical uses of various fast transforms. Thus readers will find practical approaches not covered elsewhere for the design and development of fast transform methods. Some of the most immediate applications, such as detection and analysis of periodicities in data, signal denoising and deblurring, signal resampling, precise differentiation and integration are covered and supported by concrete algorithms in this book. Other potential applications are supported by a tour of the theory and mathematical abstraction. The book is addressed to a broad circle of experimentalists, researchers and students that are not regularly educated in signal processing and work in various fields in experimental sciences ranging from physics a to metrology and to biomedical engineering.

Atomic and molecular physics underlie a basis for our knowledge of fundamental processes in nature and technology and in such applications as solid state physics, chemistry and biology. In recent years, atomic and molecular physics has undergone a revolutionary change due to great achievements in computing and experimental techniques. As a result, it has become possible to obtain information both on atomic and molecular characteristics and on dynamics of atomic and molecular processes. This e-book highlights the present state of investigations in the field of atomic and molecular physics. Recent theoretical developments as well as new discoveries and observations are discussed. The Book should be of interest to students studying atomic and molecular physics and specialists in related fields of science and technology.

Einstein’s Revolution: A Study of Theory Unification gives students of physics and philosophy, and general readers, an epistemological insight into the genesis of Einstein’s special relativity and its further unification with other theories. The book starts with an introductory analysis of the reasons for mature theory change in science. This leads to a discussion about special relativity genesis. It is contended that Einstein’s ingenious approach to special relativity creation, substantially distinguishing him from Lorentz’s and Poincaré’s invaluable impacts, turns to be a milestone of maxwellian electrodynamics, statistical mechanics and thermodynamics reconciliation design. Special relativity turns out to be grounded on Einstein’s breakthrough 1905 light quantum hypothesis. Eventually the author amends the received view on the general relativity genesis by stressing that the main reason for Einstein’s victory over the rival programmes of Abraham and Nordström was a unificationist character of Einstein’s research programme.

Stephen Hawking, present occupant of the Lucasian Chair at Cambridge University, is today one of the best known theoretical cosmologists in the world. His important contributions, in collaboration with Roger Penrose, to the physics of black holes are well known, but this does not make comparable to those of Albert Einstein, as some times is affirmed in the mainstream media. In this book, Hawking´s work as presented at the Vatican Study Week on Astrophysical Cosmology (1981), his bestseller “A Brief History of Time” (1988), his lecture on “Gödel and the end of physics” (2002), and “The Grand Design”(2010) are briefly examined. In them many philosophical questions are raised but no rigorous answers are provided. In the second half of the book, chapters on the origin of science in the Christian West, the post-Renaissance scientific revolution, the true pioneers of modern physics put contemporary cosmology in a proper perspective. The authors conclude that contemporary observational data are compatible with a finite, open and contingent universe, rather than with “everything coming out of nothing”. This book puts in a proper historical perspective, contrary to Hawking’s, that the universe is intelligible as attested by the monumental fact of modern science, and, therefore, that it is contingent, and therefore created. Very often, contemporary theoretical cosmologists ignore the crucial contributions made in Medieval Europe to the birth of modern physics. This book intends to bridge the gap in accessible language for the non specialist.

This e-book presents an overview of field propulsion systems for the use of space travel and interstellar travel. Such systems include warp drive, space drive and gravity-control schemes, and are propelled receiving the propulsive force derived from an interaction of the spacecraft with external fields. Spacecraft is propelled against space-time structure. This cannot be achieved by the conventional methods like chemical propulsion and electric propulsion. The e-book should be a valuable source of information for researchers interested in spaceflight and propulsion physics.

The classical theory of electrodynamics is based on Maxwell's equations and the Lorentz law of force. This book begins with a detailed analysis of these equations, and proceeds to examine their far-reaching consequences. The traditional approach to electrodynamics treats the ‘microscopic’ equations of Maxwell as fundamental, with electric charge and electric current as the sole sources of the electric and magnetic fields. Subsequently, polarization and magnetization are introduced into Maxwell's equations to account for the observed behavior of material media. The augmented equations, known as Maxwell's ‘macroscopic’ equations, are considered useful for practical applications, but are also ultimately reducible to the more fundamental ‘microscopic’ equations. In contrast, this textbook treats Maxwell's ‘macroscopic’ equations as the foundation of classical electrodynamics, and treats electrical charge, electrical current, polarization, and magnetization as the basic constituents of material media. The laws that govern the distribution of electromagnetic energy and momentum in space-time are also introduced in an early chapter, then discussed in great detail in subsequent chapters. The text presents several examples that demonstrate the solution of Maxwell's equations in diverse situations, aiming to enhance the reader’s understanding of the flow of energy and momentum as well as the distribution of force and torque throughout the matter-field systems under consideration. This revised edition of Field, Force, Energy and Momentum in Classical Electrodynamics features revised chapters, some of which include expanded discussions of fundamental concepts or alternative derivations of important formulas. The new edition also features three additional chapters covering Maxwell’s equations in spherical coordinates (Chapter 10), the author’s recent discussion (and streamlined proof) of the Optical Theorem (Chapter 13), and the fascinating connections between electromagnetism and Einstein’s special theory of relativity (Chapter 15). A new appendix covers the SI system of units that has been used throughout the book. The book is a useful textbook for physics majors studying classical electrodynamics. It also serves as a reference for industry professionals and academic faculty in the fields of optics and advanced electronics.

Dramatic developments in developing semiconductor device technology and nanotechnologies over the last decades has placed increasing demands on the fabrication and design of new electronic devices, It is now necessary to implement nanoscale gate geometries to achieve the highest performance standards in new devices. The need to understand and model the operation of nano-devices is, therefore, fundamental to future development and optimal design. From Semiclassical Semiconductors to Novel Spintronic Devices explains research related to new spintronic devices. This E-book: reports unique results on fabrication and the quite uncommon performance of Si-based solar cells with novel contacts chemically deposited on traditionally prepared semiconductor parts of the solar cell, details the mechanism behind efficient solar radiation conversion and the thermodynamics involved in theory and practice, discusses photonic condensate and relic radiation - exotic topics for theoretical astrophysics which also present possible power tools for achieving highly efficient energy conversion. This e-book is a useful review on the latest achievements in spintronic technology, characterization methods and nanoscaled active elements modeling for novel device design and applications The text within this e-book serves as a handy resource for graduate and PhD students as well as for professionals interested in the field of semiconductor device technology and modeling as well as spintronics.

This reference book explains the fundamentals of Bose Einstein Condensation (BEC) in excitons and polaritons. It presents five chapters exploring fundamental concepts and recent developments on the subject. Starting with a historical overview of BEC, the book progresses into the origins and behaviors of excitons and polaritons. Chapters also cover the unique thermalization and relaxation kinetics of excitons, and the distinctive features of polaritons, such as lasing, superfluidity, and quantized vortices. The chapters dedicated to BEC in excitons and polaritons detail experimental techniques, theoretical modeling, recent advancements, and practical applications in a simplified way for beginners. This book serves as a resource for researchers, physicists, and students interested in the phenomena of BEC, providing insights into both the theoretical foundations and the practical implications of excitons and polaritons.

Quantum physics is based on four fundamental interactions of electromagnetic, weak, gravitational and strong forces. All the interactions are expressed in terms of fermion and boson fields which can describe the quantum states of electrons, nucleons and photons in atoms or nuclei. Correct behaviors of these particles can now be described by the basic field theory terminology, and this textbook explains, for the first time, quantum field theory in a unifying method. At present, modern quantum theory is at a critical junction between different theories, and this textbook presents a clear description of fundamental quantum fields with a sound theoretical framework. No exotic theoretical concepts such as general relativity nor spontaneous symmetry breaking nor quantum anomaly are adopted in this textbook, and indeed all the observed physical quantities can be well understood within the standard field theory framework without introducing any non-physical particles or fields. From this textbook, readers will be guided through a concrete future direction of quantum field theory and will learn how the motion of electrons in any kind of material can be understood in terms of fields or state vectors. Readers will also learn about application of basic field theory in quantum chemistry, quantum biology and so on. Fundamental Problems in Quantum Field Theory is a handy resource for undergraduate and graduate students as well as supervisors involved in advanced courses in quantum physics.

Many beginners find physics to be a challenging subject to learn, and the difficulty extends to each branch of physics. It would be preferable for beginners to learn about different branches of physics as quickly as possible with a simplified understanding of the relevant mathematical relationships. After learning the position of each field in physics, it becomes easier to learn details of each field. In this book, special functions are not used to explain the solutions of equations. Fundamentals of Analysis In Physics summarizes the analytical methods in different fields of physics The book covers several known fields of physics and is a useful text for beginners in physics, college and university students, and working professionals who may not have a background in mathematics or physics. Key features: - Summarizes information about different fields in physics in 150 pages - Covers 7 different fields of physics (classical mechanics, electromagnetism, quantum mechanics, relativistic quantum mechanics, statistical mechanics and more) in 7 separate chapters -Contains simple explanations without the use of special functions.