Simple Models of Many-Fermion Systems

Simple Models of Many-Fermion Systems
Author: Joachim Alexander Maruhn
Publisher: Springer Science & Business Media
Total Pages: 281
Release: 2010-05-17
Genre: Science
ISBN: 3642038395

The term “ nite Fermi systems” usually refers to systems where the fermionic nature of the constituents is of dominating importance but the nite spatial extent also cannot be ignored. Historically the prominent examples were atoms, molecules, and nuclei. These should be seen in contrast to solid-state systems, where an in nite extent is usually a good approximation. Recently, new and different types of nite Fermi systems have become important, most noticeably metallic clusters, quantum dots, fermion traps, and compact stars. The theoretical description of nite Fermi systems has a long tradition and dev- oped over decades from most simple models to highly elaborate methods of ma- body theory. In fact, nite Fermi systems are the most demanding ground for theory as one often does not have any symmetry to simplify classi cation and as a possibly large but always nite particle number requires to take into account all particles. In spite of the practical complexity, most methods rely on simple and basic schemes which can be well understood in simple test cases. We therefore felt it a timely undertaking to offer a comprehensive view of the underlying theoretical ideas and techniques used for the description of such s- tems across physical disciplines. The book demonstrates how theoretical can be successively re ned from the Fermi gas via external potential and mean- eld m- els to various techniques for dealing with residual interactions, while following the universality of such concepts like shells and magic numbers across the application elds.

Heavy-Fermion Systems

Heavy-Fermion Systems
Author: Prasanta Misra
Publisher: Elsevier
Total Pages: 353
Release: 2007-12-11
Genre: Science
ISBN: 0080554679

The book on Heavy-Fermion Systems is a part of the Book series "Handbook of Metal Physics", each volume of which is written to facilitate the research of Ph.D. students, faculty and other researchers in a specific area. The Heavy-Fermions (sometimes known as Heavy-Electrons) is a loosely defined collection of intermetallic compounds containing rare-earth (mostly Ce) or actinide (mostly U) elements. These unusual names were given due to the large effective mass (100-1,000 times greater than the mass of a free electron) below a critical temperature. They have a variety of ground states including superconducting, antiferromagnetic, paramagnetic or semiconducting. Some display unusual magnetic properties such as magnetic quantum critical point and metamagnetism. This book is essentially a summary as well as a critical review of the theoretical and experimental work done on Heavy Fermions.· Extensive research references.· Comprehensive review of a very rapidly growing number of theories.· Summary of all important experiments.· Comparison with other highly correlated systems such as High-Tc Superconductors.· Possible Technological applications.

The Continuum Limit of Causal Fermion Systems

The Continuum Limit of Causal Fermion Systems
Author: Felix Finster
Publisher: Springer
Total Pages: 554
Release: 2016-08-19
Genre: Science
ISBN: 3319420674

This monograph introduces the basic concepts of the theory of causal fermion systems, a recent approach to the description of fundamental physics. The theory yields quantum mechanics, general relativity and quantum field theory as limiting cases and is therefore a candidate for a unified physical theory. From the mathematical perspective, causal fermion systems provide a general framework for describing and analyzing non-smooth geometries and "quantum geometries". The dynamics is described by a novel variational principle, called the causal action principle. In addition to the basics, the book provides all the necessary mathematical background and explains how the causal action principle gives rise to the interactions of the standard model plus gravity on the level of second-quantized fermionic fields coupled to classical bosonic fields. The focus is on getting a mathematically sound connection between causal fermion systems and physical systems in Minkowski space. The book is intended for graduate students entering the field, and is furthermore a valuable reference work for researchers in quantum field theory and quantum gravity.

An Introduction to Nuclear Fission

An Introduction to Nuclear Fission
Author: Walid Younes
Publisher: Springer Nature
Total Pages: 198
Release: 2021-11-15
Genre: Science
ISBN: 3030845923

This hands-on textbook introduces physics and nuclear engineering students to the experimental and theoretical aspects of fission physics for research and applications through worked examples and problem sets. The study of nuclear fission is currently undergoing a renaissance. Recent advances in the field create the opportunity to develop more reliable models of fission predictability and to supply measurements and data to critical applications including nuclear energy, national security and counter-proliferation, and medical isotope production. An Introduction to Nuclear Fission provides foundational knowledge for the next generation of researchers to contribute to nuclear fission physics.

Quantum Mechanics: A Modern Development (2nd Edition)

Quantum Mechanics: A Modern Development (2nd Edition)
Author: Leslie E Ballentine
Publisher: World Scientific Publishing Company
Total Pages: 739
Release: 2014-08-28
Genre: Science
ISBN: 9814578606

Although there are many textbooks that deal with the formal apparatus of quantum mechanics (QM) and its application to standard problems, none take into account the developments in the foundations of the subject which have taken place in the last few decades. There are specialized treatises on various aspects of the foundations of QM, but none that integrate those topics with the standard material. This book aims to remove that unfortunate dichotomy, which has divorced the practical aspects of the subject from the interpretation and broader implications of the theory.In this edition a new chapter on quantum information is added. As the topic is still in a state of rapid development, a comprehensive treatment is not feasible. The emphasis is on the fundamental principles and some key applications, including quantum cryptography, teleportation of states, and quantum computing. The impact of quantum information theory on the foundations of quantum mechanics is discussed. In addition, there are minor revisions to several chapters.The book is intended primarily as a graduate level textbook, but it will also be of interest to physicists and philosophers who study the foundations of QM. Parts of it can be used by senior undergraduates too.

Measurement of the Antineutrino Double-Differential Charged-Current Quasi-Elastic Scattering Cross Section at MINERvA

Measurement of the Antineutrino Double-Differential Charged-Current Quasi-Elastic Scattering Cross Section at MINERvA
Author: Cheryl E. Patrick
Publisher: Springer
Total Pages: 352
Release: 2017-11-15
Genre: Science
ISBN: 3319690876

​This thesis represents the first double differential measurement of quasi-elastic anti-neutrino scattering in the few GeV range--a region of substantial theoretical and experimental interest as it is the kinematic region where studies of charge-parity (CP) violation in the neutrino sector most require precise understanding of the differences between anti-neutrino and neutrino scatter. This dissertation also presents total antineutrino-scintillator quasi-elastic cross sections as a function of energy, which is then compared to measurements from previous experiments. Next-generation neutrino oscillation experiments, such as DUNE and Hyper-Kamiokande, hope to measure CP violation in the lepton sector. In order to do this, they must dramatically reduce their current levels of uncertainty, particularly those due to neutrino-nucleus interaction models. As CP violation is a measure of the difference between the oscillation properties of neutrinos and antineutrinos, data about how the less-studied antineutrinos interact is especially valuable. The measurement described herewith determines the nuclear and instrumental effects that must be understood to undertake precision neutrino physics. As well as being useful to help reduce oscillation experiments' uncertainty, this data can also be used to study the prevalence of various correlation and final-state interaction effects within the nucleus. In addition to being a substantial scientific advance, this thesis also serves as an outstanding introduction to the field of experimental neutrino physics for future students.

Theory and Applications of Moment Methods in Many-Fermion Systems

Theory and Applications of Moment Methods in Many-Fermion Systems
Author: B. J. Dalton
Publisher: Springer Science & Business Media
Total Pages: 510
Release: 2012-12-06
Genre: Science
ISBN: 146133120X

The first international conference on "Theory and Applications of Moment Methods in Many-Fermion Systems" was held September 10 - 13, 1979 at Iowa State University. Manuscripts of the invited talks presented at this conference are the contents of this volume. These manuscripts were prepared and delivered to the editors by the authors; the responsibility for any errors in scientific con tent is theirs. While we, the editors, have made every effort to keep this volume as free from typographical errors as possible, we accept responsibility for such errors as do occur, even those which may be mistaken for scientific error. All but one of the invited talks given at the conference are reported here; those authors apparently felt unable to provide the editors with manuscripts. The editors. who also served as the organizing committee, would like to express appreciation to the sponsors of this con ference: Physics Department, Ames Laboratory, Energy and Mineral Resources Research Institute, and the Graduate College, all of Iowa State University, the National Science Foundation, and the U. S. Department of Energy. Their generosity both in terms of funding and support made the conference possible. We should also like to express our gratitude to the Interna tional Advisory Committee whose prestige lent support to the con ference and whose advice in topic selection was invaluable. Those members were: Grenoble, France R. Arvieu C. Bender Lawrence Livermore Laboratory J. B. French University of Rochester Fowler California Institute of Technology W.

Simple Models of Many Fermion Systems

Simple Models of Many Fermion Systems
Author: Paul-Gerhard Reinhard
Publisher: Wiley-VCH
Total Pages: 270
Release: 2008-06-01
Genre: Science
ISBN: 9783527407316

Praised by reviewers for clarity, presentation and general concept of teaching, "Simple Models of Many Fermion Systems: With Fortran Codes" provides an undergraduate-accessible route to understanding many-particle systems. The book explains how to develop simplified and generic models enabling the reader to understand the principles and mechanisms, rather than just listing the relevant formulae. Complementing numerical tools help to understand and follow the course, and also meet the need for incorporation of computational physics in modern texts.