Models of Quantum Matter
Title | Models of Quantum Matter PDF eBook |
Author | Hans-Peter Eckle |
Publisher | Oxford University Press, USA |
Pages | 732 |
Release | 2019-07-18 |
Genre | Science |
ISBN | 0199678839 |
An important task of theoretical quantum physics is the building of idealized mathematical models to describe the properties of quantum matter. This text is an introduction to the Bethe ansatz method. It introduces the physical concepts (e.g. the Fermi and Luttinger liquid and quantum phase transitions) and mathematical tools (e.g. many-particle Hilbert spaces and second quantization) needed to construct realistic models from a variety of fields of physics,especially condensed matter physics and quantum optics. The various forms of the Bethe ansatz - algebraic, coordinate, multicomponent, and thermodynamic Bethe ansatz, and Bethe ansatz for finite systems -are then explained in depth and employed to find exact solutions for the physical properties of the integrable forms of these strongly interacting quantum models.
Quantum Field Theory in Condensed Matter Physics
Title | Quantum Field Theory in Condensed Matter Physics PDF eBook |
Author | Naoto Nagaosa |
Publisher | Springer Science & Business Media |
Pages | 213 |
Release | 2013-11-11 |
Genre | Science |
ISBN | 3662037742 |
This is an approachable introduction to the important topics and recent developments in the field of condensed matter physics. First, the general language of quantum field theory is developed in a way appropriate for dealing with systems having a large number of degrees of freedom. This paves the way for a description of the basic processes in such systems. Applications include various aspects of superfluidity and superconductivity, as well as a detailed description of the fractional quantum Hall liquid.
Quantum-Statistical Models of Hot Dense Matter
Title | Quantum-Statistical Models of Hot Dense Matter PDF eBook |
Author | Arnold F. Nikiforov |
Publisher | Springer Science & Business Media |
Pages | 456 |
Release | 2005-02-17 |
Genre | Law |
ISBN | 9783764321833 |
This book studies the widely used theoretical models for calculating properties of hot dense matter. Calculations are illustrated by plots and tables, and they are compared with experimental results. The purpose is to help understanding of atomic physics in hot plasma and to aid in developing efficient and robust computer codes for calculating opacity and equations of state for arbitrary material in a wide range of temperatures and densities.
Quantum Field Theory and Condensed Matter
Title | Quantum Field Theory and Condensed Matter PDF eBook |
Author | Ramamurti Shankar |
Publisher | Cambridge University Press |
Pages | 557 |
Release | 2017-08-31 |
Genre | Science |
ISBN | 1108363989 |
Providing a broad review of many techniques and their application to condensed matter systems, this book begins with a review of thermodynamics and statistical mechanics, before moving onto real and imaginary time path integrals and the link between Euclidean quantum mechanics and statistical mechanics. A detailed study of the Ising, gauge-Ising and XY models is included. The renormalization group is developed and applied to critical phenomena, Fermi liquid theory and the renormalization of field theories. Next, the book explores bosonization and its applications to one-dimensional fermionic systems and the correlation functions of homogeneous and random-bond Ising models. It concludes with Bohm–Pines and Chern–Simons theories applied to the quantum Hall effect. Introducing the reader to a variety of techniques, it opens up vast areas of condensed matter theory for both graduate students and researchers in theoretical, statistical and condensed matter physics.
Condensed Matter Field Theory
Title | Condensed Matter Field Theory PDF eBook |
Author | Alexander Altland |
Publisher | Cambridge University Press |
Pages | 785 |
Release | 2010-03-11 |
Genre | Science |
ISBN | 0521769752 |
This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research. Topics covered include second quantisation, path and functional field integration, mean-field theory and collective phenomena.
Many-Body Quantum Theory in Condensed Matter Physics
Title | Many-Body Quantum Theory in Condensed Matter Physics PDF eBook |
Author | Henrik Bruus |
Publisher | Oxford University Press |
Pages | 458 |
Release | 2004-09-02 |
Genre | Science |
ISBN | 0198566336 |
The book is an introduction to quantum field theory applied to condensed matter physics. The topics cover modern applications in electron systems and electronic properties of mesoscopic systems and nanosystems. The textbook is developed for a graduate or advanced undergraduate course with exercises which aim at giving students the ability to confront real problems.
Quantum Field Theory of Many-Body Systems
Title | Quantum Field Theory of Many-Body Systems PDF eBook |
Author | Xiao-Gang Wen |
Publisher | OUP Oxford |
Pages | 520 |
Release | 2004-06-04 |
Genre | Science |
ISBN | 0191523968 |
For most of the last century, condensed matter physics has been dominated by band theory and Landau's symmetry breaking theory. In the last twenty years, however, there has been the emergence of a new paradigm associated with fractionalisation, topological order, emergent gauge bosons and fermions, and string condensation. These new physical concepts are so fundamental that they may even influence our understanding of the origin of light and fermions in the universe. This book is a pedagogical and systematic introduction to the new concepts and quantum field theoretical methods (which have fuelled the rapid developments) in condensed matter physics. It discusses many basic notions in theoretical physics which underlie physical phenomena in nature. Topics covered are dissipative quantum systems, boson condensation, symmetry breaking and gapless excitations, phase transitions, Fermi liquids, spin density wave states, Fermi and fractional statistics, quantum Hall effects, topological and quantum order, spin liquids, and string condensation. Methods covered are the path integral, Green's functions, mean-field theory, effective theory, renormalization group, bosonization in one- and higher dimensions, non-linear sigma-model, quantum gauge theory, dualities, slave-boson theory, and exactly soluble models beyond one-dimension. This book is aimed at teaching graduate students and bringing them to the frontiers of research in condensed matter physics.