The second edition of this book deals, as the first, with the foundations of classical physics from the 'symplectic' point of view, and of quantum mechanics from the 'metaplectic' point of view. We have revised and augmented the topics studied in the first edition in the light of new results, and added several new sections. The Bohmian interpretation of quantum mechanics is discussed in detail. Phase space quantization is achieved using the 'principle of the symplectic camel', which is a deep topological property of Hamiltonian flows. We introduce the notion of 'quantum blob', which can be viewed as the fundamental phase space unit. The mathematical tools developed in this book are the theory of the symplectic and metaplectic group, the Maslov index in a rigorous form, and the Leray index of a pair of Lagrangian planes. The concept of the 'metatron' is introduced, in connection with the Bohmian theory of motion. The short-time behavior of the propagator is studied and applied to the quantum Zeno effect.

At a fundamental level, reticular chemistry offers an intellectually-stimulating journey through discovery, rational design, structural characterization, and technology-driven properties and applications. The breadth of science, techniques, and applications experienced through reticular chemistry is unseen in other fields. Accordingly, based on 30 years of reported research, Reticular Chemistry and Applications: Metal-Organic Frameworks critically details the most important knowledge and know-how available to help old and new reticular chemists alike embark on a project based on these fascinating materials. Overview of the state-of-the-art approaches in design, synthesis, and structural characterization of metal-organic frameworks (MOFs) MOFs applied toward carbon dioxide capture and conversion, methane and hydrogen storage, and industrially-practical catalysis MOFs for energy conversion and storage, water purification and harvesting, and targeted delivery of biologically-relevant molecules Contributions from a multidisciplinary, international consortium of widely-respected reticular chemists

Presenting research from more than 30 international authorities, this reference provides a complete arsenal of tools and theorems to analyze systems of hyperbolic partial differential equations. The authors investigate a wide variety of problems in areas such as thermodynamics, electromagnetics, fluid dynamics, differential geometry, and topology. Renewing thought in the field of mathematical physics, Hyperbolic Differential Operators defines the notion of pseudosymmetry for matrix symbols of order zero as well as the notion of time function. Surpassing previously published material on the topic, this text is key for researchers and mathematicians specializing in hyperbolic, Schrödinger, Einstein, and partial differential equations; complex analysis; and mathematical physics.

This book deals with an original contribution to the hypothetical missing link unifying the two fundamental branches of physics born in the twentieth century, General Relativity and Quantum Mechanics. Namely, the book is devoted to a review of a "covariant approach" to Quantum Mechanics, along with several improvements and new results with respect to the previous related literature. The first part of the book deals with a covariant formulation of Galilean Classical Mechanics, which stands as a suitable background for covariant Quantum Mechanics. The second part deals with an introduction to covariant Quantum Mechanics. Further, in order to show how the presented covariant approach works in the framework of standard Classical Mechanics and standard Quantum Mechanics, the third part provides a detailed analysis of the standard Galilean space-time, along with three dynamical classical and quantum examples. The appendix accounts for several non-standard mathematical methods widely used in the body of the book.

This book attempts to convey to the reader that semiclassical physics can be fun, as well as useful for understanding quantum fluctuations in interacting many-body systems. It presents applications to finite fermion systems in diverse areas of physics.

This book presents a comprehensive mathematical study of the operators behind the Born–Jordan quantization scheme. The Schrödinger and Heisenberg pictures of quantum mechanics are equivalent only if the Born–Jordan scheme is used. Thus, Born–Jordan quantization provides the only physically consistent quantization scheme, as opposed to the Weyl quantization commonly used by physicists. In this book we develop Born–Jordan quantization from an operator-theoretical point of view, and analyze in depth the conceptual differences between the two schemes. We discuss various physically motivated approaches, in particular the Feynman-integral point of view. One important and intriguing feature of Born-Jordan quantization is that it is not one-to-one: there are infinitely many classical observables whose quantization is zero.

No.-I Matter Waves : Inadequacies of classical mechanics, Photoelectric phenomenon, Compton effect, wave particle duality, de-Broglie matter waves and their experimental verification, Heisenberg’s uncertainty principle, Complementary principle, Principle of superposition, Motion of wave packets. No.-II Schrodinger Equation and its Applications : Schrodinger wave equation, Interpretation of wave function, Expectation values of dynamical variables, Ehrenfest theorem, Orthonormal properties of wave functions, One dimensional motion in step potential, Rectangular barrier, Square well potential, Particle in a box, normalization, Simple Harmonic Oscillator. No.-III Atomic Spectra : Spectra of hydrogen, deuteron and alkali atoms, spectral terms, doublet fine structure, screening constants for alkali spectra for s, p, d, and f states, selection rules. Singlet and triplet fine structure in alkaline earth spectra, L-S and J-J couplings. Weak spectra: continuous X-ray spectrum and its dependence on voltage, Duane and Haunt’s law. Characteristics X-rays, Moseley’s law, doublet structure and screening parameters in X-ray spectra, X-ray absorption spectra. No.-IV Molecular Spectra : Discrete set of electronic energies of molecules, quantisation of vibrational and rotational energies, determination of internuclear distance, pure rotation and rotation- vibration spectra, Dissociation limit for the ground and other electronic states, transition rules for pure vibration and electronic vibration spectra.

This completely revised second edition of our hugely popular book invites the reader to explore ten of the most important areas of modern physics: Symmetry, Lasers, Superconductivity, Bose-Einstein Condensation, Nanoscience, Quantum Computation, Chaos and Fractals, Stellar Evolution, Particles, and Cosmology.The new edition adds three new chapters in about a third of the book, covering the latest, hottest topics in contemporary physics: Bose-Einstein Condensate: Where Many Become One and How to Get There: Bose Statistics: Counting of the Indistinguishables; Bose-Einstein Condensation (BEC): The Over-Population Crisis; Cooling and Trapping of Atoms: Towards BEC; Doppler Limit and its Break Down; Trapping of Cold Atoms: Magnetic and Magneto-Optic Trap; Evaporative Cooling; BEC Finally: But How do We Know?; BEC: What Good is it? Exploring Nanostructures: Towards the Bottom; The Rise of Nanoscience; Confined Systems; Quantum Devices; The Genius of Carbon; Spintronics; Nanos at Large. Quantum Computation and Information: Classical Computer; Quantum Computer; Quantum Gates; Deutsch's Algorithm; Finding the Period of a Function; Shor's Factorization Algorithm; Grover's Search Algorithm; Hardware and Error Correction; Cryptography; Quantum Teleportation.The authors give a fascinating, up-to-date account of the exciting advances in these fast-moving fields. Their emphasis is as much on describing natural phenomena as on attempting to explain them in terms of basic principles, replacing equations with physical insight. General readers and university undergraduates alike will find this unique book a useful guide to the worlds of modern physics, while the mature scientist will get an insightful survey of neighboring fields of research. For the teacher who takes a thematic approach to teaching physics, this book will be a complete source of current topics at the frontiers of research; and for the student, a valuable tool of study, made even more useful by numerous pertinent problems (with complete solutions) and references found at the end of each chapter.

For B.Sc. Second Year Students as per UGC Model Curriculum (For All Indian Universities). The book is presented in a comprehensive way using simple language. The sequence of articles in each chapter enables the students to understand the gradual development of the subject. A large number of illustrations, pictures and interestinf examples have been given

The first title in a new series, this book explores topics from classical and quantum mechanics and field theory. The material is presented at a level between that of a textbook and research papers making it ideal for graduate students. The book provides an entree into a field that promises to remain exciting and important for years to come.