Introduction to High Energy Physics: Particle Physics for the Beginner (Problems and Solutions)

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Elementary particle physics is a mature subject, with a wide variety of topics. Each topic in the textbook was selected for its accessibility to as wide an audience of interested readers as possible, without any compromise in mathematical sophistication. The text was supplemented by exercises at the end of each chapter, designed to increase the reader's skills and to instill in undergraduates an ability to enjoy this interesting subject. The present book works out the solutions to the exercises in the textbook and can be used for better comprehension of the topics. Request Inspection Copy Sample Chapter(s) Preface to Solutions Chapter 1: Introduction Contents: Introduction Special Relativity A Little Field Theory Quantum Electrodynamics Electrodynamics with Protons and Neutrons Weak Interactions Electroweak Phenomenology Electroweak Theory Heavy Quark Bound States, Mixing, and CP Violation Readership: Advanced undergraduate and graduate physics students.

Computing and Analysing Energy Minimisation Problems in Liquid Crystals

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How does one numerically analyse different phases of liquid crystals? With the help of some open-source libraries, what can we do in exploiting the mathematical models of liquid crystals and numerical aspects of their typical defects? There are many excellent books on liquid crystals, but none on their numerics to the knowledge of the author. This book presents some of the latest work on numerical investigations of liquid crystals, addressing some mathematical modelling and numerical problems. This book consists of three major parts, each of which focuses on different problems for different phases of liquid crystals: nematics and cholesterics, ferronematics and smectics. The associated topics include robust solvers for cholesterics, multiple solutions for ferronematics, and mathematical modelling theory for smectics, etc. This interdisciplinary book can be helpful in utilising the open-source libraries Firedrake (for solving problems using finite element methods) and Defcon (for computing multiple solutions) to solve general energy minimisation problems. Sample Chapter(s) Preface Chapter 1: Introduction Chapter 2: A Mathematical Model of Nematics and Cholesterics Contents: Introduction Nematic and Cholesteric Liquid Crystals: A Mathematical Model of Nematics and Cholesterics A Robust Multigrid Algorithm for the Augmented Director Block Numerical Experiments for Nematics and Cholesterics Ferronematic Liquid Crystals: A Mathematical Model of Ferronematics Computing Multiple Solutions Using Deflation Numerical Verifications for Ferronematics Smectic Liquid Crystals: A Mathematical Model of Smectics Finite Element Discretisation Numerical Experiments for Smectics Conclusions and Perspectives: Summary and Conclusions Appendices: Stability of the Newton System Equilibrium Equations in Two Dimensions Readership: Advanced undergraduate and graduate students interested in numerical modelling of liquid crystals; researchers in the fields of mathematical theories and numerical aspects in liquid crystals.

Heterogeneous Nanocatalysis for Energy and Environmental Sustainability, Volume 1: Energy Applications (1版)

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【簡介】 An essential companion for catalysis researchers and professionals studying economically viable and eco-friendly catalytic strategies for energy conversionIn the two-volume Heterogeneous Nanocatalysis for Energy and Environmental Sustainability, a team of distinguished researchers deliver a comprehensive discussion of fundamental concepts in, and practical applications of, heterogeneous nanocatalysis for alternative energy production, biomass conversion, solar energy, green fuels, H2 production, fuel cells, electrochemical energy conversion processes, CO2 conversion, clean water, and environmental protection.The volumes cover the design and catalytic performance of various nanocatalysts, including nanosized metals and metal oxides, supported metal nanoparticles, inverse oxide-metal nanocatalysts, core-shell nanocatalysts, nanoporous zeolites, nanocarbon composites, and metal oxides in confined spaces. Each chapter contains a critical discussion of the opportunities and challenges posed by the use of nanosized catalysts for practical applications.Volume 1 - Energy Applications focuses on the conversion of renewable energy (biomass/solar) into green fuels and chemicals, ammonia synthesis, clean hydrogen production, and electrochemical energy conversion processes using a variety of nanosized catalysts.It also offers: A thorough introduction to heterogeneous catalysis and nanocatalysis, as well as a discussion of catalytic active sites at nano-scale rangeComprehensive explorations of the methods for control and activation of nanosized catalystsPractical discussions of C3N4-based nanohybrid catalysts for solar hydrogen production via water splittingNanosized catalysts in visible light photocatalysis for sustainable organic synthesisApplications of MXenes in electrocatalysisPerfect for researchers, postgraduate students, chemists, and engineers interested in heterogeneous catalysis and nanocatalysis, Heterogeneous Nanocatalysis for Energy and Environmental Sustainability will also earn a place in the libraries of professionals working in alternative energy production, biomass conversion, solar energy, green fuels, H2 production, fuel cells, electrochemical energy conversion processes, CO2 conversion, clean water, and environmental protection.

Stochastic Models for Prices Dynamics in Energy and Commodity Markets: An Infinite-Dimensional Perspective

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This monograph presents a theory for random field models in time and space, viewed as stochastic processes with values in a Hilbert space, to model the stochastic dynamics of forward and futures prices in energy, power, and commodity markets. In this book, the well-known Heath–Jarrow–Morton approach from interest rate theory is adopted and extended into an infinite-dimensional framework, allowing for flexible modeling of price stochasticity across time and along the term structure curve. Various models are introduced based on stochastic partial differential equations with infinite-dimensional Lévy processes as noise drivers, emphasizing random fields described by low-dimensional parametric covariance functions instead of classical high-dimensional factor models. The Filipović space, a separable Hilbert space of Sobolev type, is found to be a convenient state space for the dynamics of forward and futures term structures. The monograph provides a classification of important operators in this space, covering covariance operators and the stochastic modeling of volatility term structures, including the Samuelson effect. Fourier methods are employed to price many derivatives of interest in energy, power, and commodity markets, and sensitivity 'delta' expressions can be derived. Additionally, the monograph covers forward curve smoothing, the connection between forwards with fixed delivery and delivery period, as well as the classical theory of forward and futures pricing. This monograph will appeal to researchers and graduate students interested in mathematical finance and stochastic analysis applied in the challenging markets of energy, power, and commodities. Practitioners seeking sophisticated yet flexible and analytically tractable risk models will also find it valuable.