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This book is based on the course "Elements of Theoretical Physics," which the author has been teaching at the University of Rome Tor Vergata since 2017. It serves as an introduction to quantum mechanics, providing students with essential concepts and tools for future lessons, while still maintaining a comprehensive approach without relying heavily on the level of abstraction and mathematical rigor typically found in Physics programs. Understanding this book only requires knowledge of the mathematical concepts taught in the first two years of basic courses. The bachelor's degree program in Materials Science aims to train students with an interdisciplinary background in physics, chemistry, and engineering. While the study of quantum mechanics is essential, the same level of depth, abstraction, and mathematical rigor as in a Physics degree program is not a requirement. Unfortunately, most textbooks on Quantum Mechanics are geared toward Physics students, making it difficult to find suitable resources for Materials Science students. To make learning easier, the author has chosen not to refer students to various textbooks for different topics. Instead, he has created handouts that have evolved into a condensed textbook on quantum mechanics specifically tailored to the needs of the Materials Science program.

Quantum physics. --- Materials science. --- Atoms. --- Molecules. --- Quantum Physics. --- Materials Science. --- Atoms and molecules in external fields.

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This book outlines past and new developments in molecular response theory in terms of static and dynamic-induced current densities and showcases an important step forward in the field of molecular density functions and their topological analysis. The book begins with a general perspective on topics such as classical Hamiltonian, quantum mechanical Hamiltonian, and topological analysis of the electron charge density, followed by an in-depth overview of time-dependent and -independent perturbations, and applications. In this book, the author presents a completely new approach that allows the interpretation of electric and magnetic properties through origin-independent density functions. Readers will also find examples of how the new origin-independent density functions are useful for rationalizing the chemical behavior of molecules interacting with impinging radiation. The concepts contained within the book are the basis for a deeper understanding of Nuclear magnetic resonance (NMR) and Electron paramagnetic resonance (EPR) spectroscopies, as well as the mechanisms that give rise to electric polarization and optical activity in chiral systems. A basic knowledge of quantum mechanics and ab initio electronic structure calculation methods such as Hartree-Fock and Density Functional Theory is required. Given its breadth, the book provides an important contribution to the field of Quantum Chemical Topology and appeals to students and researchers interested in learning more about the relationship between electrical and magnetic properties, density functions derivable from them and experimental observables.

Chemistry, Physical and theoretical. --- Chemistry --- Atoms. --- Molecules. --- Quantum physics. --- Physical chemistry. --- Molecules --- Theoretical Chemistry. --- Computational Chemistry. --- Atomic, Molecular and Chemical Physics. --- Quantum Physics. --- Physical Chemistry. --- Molecular Modelling. --- Data processing. --- Models.

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This expert and self-contained authored handbook provides comprehensive coverage of liquid crystals from the fundamental materials science, physics, and modeling through cutting-edge applications. Written by an author with over 40 years of active experience in this growing field, it offers an unprecedented self-contained treatment of this key research area. Liquid Crystals are a state of matter sharing properties that are usually associated with both solids and liquids. Their study belongs to wider field of soft condensed matter physics, an area growing in importance because of the new physics being discovered and the possibilities of various technological applications being developed. Liquid crystals continue to have a revolutionary technological impact and consistently pose new challenges of basic understanding. While the experimental side of liquid crystal research is very well developed, theoretical understanding has lagged, and this volume fills a gap in the published literature in terms of rigorous treatment of mathematical and computer modeling approaches. Volume II of this handbook deals with advanced aspects of liquid crystals and their applications, covering computer simulations of phase transitions in liquid crystals, liquid crystals of biomolecules, and defect textures in liquid crystals. Overall, this handbook serves as the ultimate scholarly guide for researchers, scientists, and engineers seeking to unlock the full potential of liquid crystals. It offers a comprehensive understanding of these materials and their diverse applications, empowering readers to navigate the complex intricacies of liquid crystal science and technology.

Liquid crystals. --- Optical materials. --- Mathematical physics. --- Computer simulation. --- Molecules. --- Polymers. --- Nanotechnology. --- Liquid Crystals. --- Optical Materials. --- Computational Physics and Simulations. --- Bio- and Macromolecules. --- Liquid crystals

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The book provides a detailed quantitative study and characterization of the physics of the thermal and viscoelastic behavior of mainly amorphous materials, and addresses a readership of both undergraduate (Part I and the two first chapters of Part II) and graduate students and junior researchers (Parts II and III). Though the discussion and examples concentrate on polymer materials, Part II illustrates the potential universality of the proposed most recent treatment – a Cooperative Theory of Materials Dynamics (CTMD) – and its ability to portray the 11 major physical characteristics of the materials' behavior by an alternative view of the thermal equilibrium and non-equilibrium dynamics at the "micro-scale", the still challenging problem of the glass transition and glass transition temperature, how partial crosslinking or crystallization limits the response, the expected impact of molecular packing, and of a few other open challenges. Part III discusses three specific domains where new applications and extensions of CTMD might be explored, while three Appendixes collect a few quantitative details and extensions of the treatment.

Condensed matter. --- Atoms. --- Molecules. --- Materials --- Condensed Matter Physics. --- Atomic, Molecular and Chemical Physics. --- Condensed Matter. --- Materials Characterization Technique. --- Analysis. --- Amorphous substances. --- Viscoelasticity.

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This second edition is an updated and extended introduction to the world of Penning traps and provides an overview of the field, particularly for those entering it. It presents the basics of Penning traps from a fundamental and applied point of view and discusses the variety of methods, technologies and their applications to experiments, particularly in the field of precision spectroscopy across all frequency ranges. The book is written from an experimentalist's point of view, it includes numerous illustrations and extensive references to the available literature to ensure a high degree of breadth and accessibility. The new edition provides, for instance, a new chapter on particle temperature and cooling, new sections on particle dynamics, g-factor measurements, space charge as a confinement limitation, space charge and resonant particle loss, as well as a section on particle loss mechanisms.

Atoms. --- Molecules. --- Measurement. --- Measuring instruments. --- Spectrum analysis. --- Nuclear physics. --- Atomic, Molecular and Chemical Physics. --- Measurement Science and Instrumentation. --- Spectroscopy. --- Nuclear and Particle Physics. --- Particles (Nuclear physics) --- Penning trap mass spectrometry.