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COMPUTATIONAL Physics
COMPUTATIONAL PhysicsBy Morten Hjorth Jensen
Mathematics for Natural Scientists
This book covers a course of mathematics designed primarily for physics and engineering students. It includes all the essential material on mathematical methods, presented in a form accessible to physics students, avoiding precise mathematical jargon and proofs which are comprehensible only to mathematicians. Instead, all proofs are given in a form that is clear and convincing enough for a physicist. Examples, where appropriate, are given from physics contexts. Both solved and unsolved problems are provided in each section of the book. Mathematics for Natural Scientists: Fundamentals and Basics is the first of two volumes. Advanced topics and their applications in physics are covered in the second volume.
Classical Mechanics with Maxima
This book guides undergraduate students in the use of Maxima—a computer algebra system—in solving problems in classical mechanics. It functions well as a supplement to a typical classical mechanics textbook. When it comes to problems that are too difficult to solve by hand, computer algebra systems that can perform symbolic mathematical manipulations are a valuable tool. Maxima is particularly attractive in that it is open-source, multiple-platform software that students can download and install free of charge. Lessons learned and capabilities developed using Maxima are easily transferred to other, proprietary software.
Nuclear Reactions
Nuclei and nuclear reactions offer a unique setting for investigating three (and in some cases even all four) of the fundamental forces in nature. Nuclei have been shown – mainly by performing scattering experiments with electrons, muons and neutrinos – to be extended objects with complex internal structures: constituent quarks; gluons, whose exchange binds the quarks together; sea-quarks, the ubiquitous virtual quark-antiquark pairs and last but not least, clouds of virtual mesons, surrounding an inner nuclear region, their exchange being the source of the nucleon-nucleon interaction. The interplay between the (mostly attractive) hadronic nucleon-nucleon interaction and the repulsive Co...
An Advanced Course in Computational Nuclear Physics
This graduate-level text collects and synthesizes a series of ten lectures on the nuclear quantum many-body problem. Starting from our current understanding of the underlying forces, it presents recent advances within the field of lattice quantum chromodynamics before going on to discuss effective field theories, central many-body methods like Monte Carlo methods, coupled cluster theories, the similarity renormalization group approach, Green’s function methods and large-scale diagonalization approaches. Algorithmic and computational advances show particular promise for breakthroughs in predictive power, including proper error estimates, a better understanding of the underlying effective de...
Tensor Network Contractions
Tensor network is a fundamental mathematical tool with a huge range of applications in physics, such as condensed matter physics, statistic physics, high energy physics, and quantum information sciences. This open access book aims to explain the tensor network contraction approaches in a systematic way, from the basic definitions to the important applications. This book is also useful to those who apply tensor networks in areas beyond physics, such as machine learning and the big-data analysis. Tensor network originates from the numerical renormalization group approach proposed by K. G. Wilson in 1975. Through a rapid development in the last two decades, tensor network has become a powerful ...
The Euroschool Lectures on Physics with Exotic Beams
This is the third and ?nal volume in a series of Lecture Notes based on the highlysuccessfulEuroSummerSchoolonExoticBeamsthathasbeenrunning yearly since 1993 (apart from 1999) and is planned to continue to do so. It is the aim of the series to provide an introduction to Radioactive Ion Beam (RIB) physics at the level of graduate students and young postdocs starting out in the ?eld. Each volume contains lectures covering a range of topics from nuclear theory to experiment to applications. Our understanding of atomic nuclei has undergone a major re-orientation over the past two decades and seen the emergence of an exciting ?eld of research: the study of ‘exotic’ nuclei. The availability of...
Artificial Intelligence Systems in Environmental Engineering
Specialists are paying attention to the growing concern for environmental issues. Artificial Intelligence Systems in Environmental Engineering uses techniques from the field of Artificial Intelligence as the alternative to address problems that are difficult to model by analytical methods. The book provides a general study and introduces a set of techniques for environmental engineering. With a particular focus on climate change and energy policy, it discusses innovative solutions and models that can positively influence and increase the efficiency of resource use and decrease the impact on the environment while developing the well-being of individuals. The book will be of most interest to research students who have a scientific approach and deal with problems related to environmental engineering.
Handbook of Nuclear Physics
This handbook is a comprehensive, systematic source of modern nuclear physics. It aims to summarize experimental and theoretical discoveries and an understanding of unstable nuclei and their exotic structures, which were opened up by the development of radioactive ion (RI) beam in the late 1980s. The handbook comprises three major parts. In the first part, the experiments and measured facts are well organized and reviewed. The second part summarizes recognized theories to explain the experimental facts introduced in the first part. Reflecting recent synergistic progress involving both experiment and theory, the chapters both parts are mutually related. The last part focuses on cosmo-nuclear physics—one of the mainstream subjects in modern nuclear physics. Those comprehensive topics are presented concisely. Supported by introductory reviews, all chapters are designed to present their topics in a manner accessible to readers at the graduate level. The book therefore serves as a valuable source for beginners as well, helping them to learn modern nuclear physics.
