Density Matrix Renormalization Group

Density Matrix Renormalization Group Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Density Matrix Renormalization Group book. This book definitely worth reading, it is an incredibly well-written.

Frontiers in Quantum Systems in Chemistry and Physics

Author : P.J. Grout,Jean Maruani,Gerardo Delgado-Barrio,Piotr Piecuch
Publisher : Springer Science & Business Media
Page : 586 pages
File Size : 45,8 Mb
Release : 2008-09-12
Category : Science
ISBN : 9781402087073

Get Book

Frontiers in Quantum Systems in Chemistry and Physics by P.J. Grout,Jean Maruani,Gerardo Delgado-Barrio,Piotr Piecuch Pdf

In this volume we have collected some of the contributions made to the Twelfth European Workshop on Quantum Systems in Chemistry and Physics (QSCP-XII) in 2007. The workshop was held at Royal Holloway College, the most westerly campusof the University of London,and situated just a stone’s throw from Windsor Great Park. The workshop, which ran from 30 August to 5 September, continued the series that was established by Roy McWeeny in April 1996 with a meeting held at San Miniato, near Pisa. The purpose of the QSCP workshops is to bring together, in an informal atmosphere and with the aim of fostering collaboration, those chemists and physicists who share a common ?eld of interest in the theory of the quantum many-body problem. Quantum mechanics provides a theoretical foundation for our understandingof the structure,propertiesanddynamicsof atoms, moleculesandthe solid state, in terms of their component particles: electrons and nuclei. The study of ‘Quantum Systems in Chemistry and Physics’ therefore underpins many of the emerging?elds in twenty-?rstcenturyscience andtechnology:nanostructure,smart materials, drug design – to name but a few. Members of the workshop were keen to discuss their research and engage in collaboration centred upon the development of fundamental and innovative theory which would lead to the exploration of new concepts. The proceedings of all of the workshops, which have been held annually since 1996, have been published both to disseminate the latest developments within the wider community and to stimulate further collaboration.

Quantum Chemistry and Dynamics of Excited States

Author : Leticia González,Roland Lindh
Publisher : John Wiley & Sons
Page : 52 pages
File Size : 40,9 Mb
Release : 2021-02-01
Category : Science
ISBN : 9781119417750

Get Book

Quantum Chemistry and Dynamics of Excited States by Leticia González,Roland Lindh Pdf

An introduction to the rapidly evolving methodology of electronic excited states For academic researchers, postdocs, graduate and undergraduate students, Quantum Chemistry and Dynamics of Excited States: Methods and Applications reports the most updated and accurate theoretical techniques to treat electronic excited states. From methods to deal with stationary calculations through time-dependent simulations of molecular systems, this book serves as a guide for beginners in the field and knowledge seekers alike. Taking into account the most recent theory developments and representative applications, it also covers the often-overlooked gap between theoretical and computational chemistry. An excellent reference for both researchers and students, Excited States provides essential knowledge on quantum chemistry, an in-depth overview of the latest developments, and theoretical techniques around the properties and nonadiabatic dynamics of chemical systems. Readers will learn: ● Essential theoretical techniques to describe the properties and dynamics of chemical systems ● Electronic Structure methods for stationary calculations ● Methods for electronic excited states from both a quantum chemical and time-dependent point of view ● A breakdown of the most recent developments in the past 30 years For those searching for a better understanding of excited states as they relate to chemistry, biochemistry, industrial chemistry, and beyond, Quantum Chemistry and Dynamics of Excited States provides a solid education in the necessary foundations and important theories of excited states in photochemistry and ultrafast phenomena.

Density Matrix Renormalization Group

Author : Tim Byrnes
Publisher : timbyrnes
Page : 218 pages
File Size : 48,9 Mb
Release : 2003
Category : Density matrices
ISBN : 8210379456XXX

Get Book

Density Matrix Renormalization Group by Tim Byrnes Pdf

Tensor Network Contractions

Author : Shi-Ju Ran,Emanuele Tirrito,Cheng Peng,Xi Chen,Luca Tagliacozzo,Gang Su,Maciej Lewenstein
Publisher : Springer Nature
Page : 160 pages
File Size : 41,9 Mb
Release : 2020-01-27
Category : Science
ISBN : 9783030344894

Get Book

Tensor Network Contractions by Shi-Ju Ran,Emanuele Tirrito,Cheng Peng,Xi Chen,Luca Tagliacozzo,Gang Su,Maciej Lewenstein Pdf

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 numerical tool that can efficiently simulate a wide range of scientific problems, with particular success in quantum many-body physics. Varieties of tensor network algorithms have been proposed for different problems. However, the connections among different algorithms are not well discussed or reviewed. To fill this gap, this book explains the fundamental concepts and basic ideas that connect and/or unify different strategies of the tensor network contraction algorithms. In addition, some of the recent progresses in dealing with tensor decomposition techniques and quantum simulations are also represented in this book to help the readers to better understand tensor network. This open access book is intended for graduated students, but can also be used as a professional book for researchers in the related fields. To understand most of the contents in the book, only basic knowledge of quantum mechanics and linear algebra is required. In order to fully understand some advanced parts, the reader will need to be familiar with notion of condensed matter physics and quantum information, that however are not necessary to understand the main parts of the book. This book is a good source for non-specialists on quantum physics to understand tensor network algorithms and the related mathematics.

Density Matrix and Tensor Network Renormalization

Author : Tao Xiang
Publisher : Cambridge University Press
Page : 456 pages
File Size : 49,6 Mb
Release : 2023-08-31
Category : Science
ISBN : 9781009398718

Get Book

Density Matrix and Tensor Network Renormalization by Tao Xiang Pdf

Renormalization group theory of tensor network states provides a powerful tool for studying quantum many-body problems and a new paradigm for understanding entangled structures of complex systems. In recent decades the theory has rapidly evolved into a universal framework and language employed by researchers in fields ranging from condensed matter theory to machine learning. This book presents a pedagogical and comprehensive introduction to this field for the first time. After an introductory survey on the major advances in tensor network algorithms and their applications, it introduces step-by-step the tensor network representations of quantum states and the tensor-network renormalization group methods developed over the past three decades. Basic statistical and condensed matter physics models are used to demonstrate how the tensor network renormalization works. An accessible primer for scientists and engineers, this book would also be ideal as a reference text for a graduate course in this area.

Density-Matrix Renormalization - A New Numerical Method in Physics

Author : Ingo Peschel
Publisher : Lecture Notes in Physics
Page : 386 pages
File Size : 53,6 Mb
Release : 1999-06-21
Category : Mathematics
ISBN : UOM:39015041888192

Get Book

Density-Matrix Renormalization - A New Numerical Method in Physics by Ingo Peschel Pdf

This book offers the first comprehensive account of the new method of density matrix renormalization. Recent years have seen enormous progress in the numerical treatment of low-dimensional quantum systems. With this new technique, which selects a reduced set of basis states via density matrices, it has become possible to treat large systems with amazing accuracy. The method has been applied successfully to a variety of important one-dimensional problems such as spin chains, Kondo models, and correlated electron systems. Extensions to other systems and higher dimensions are currently being developed. The contributions to this book are written by leading experts in the field. The two parts contain an introduction to the subject and a review of physical applications. As a combination of advanced textbook and guide to current research the book should become a standard source for everyone interested in the topic.

Strongly Correlated Systems

Author : Adolfo Avella,Ferdinando Mancini
Publisher : Springer Science & Business Media
Page : 350 pages
File Size : 51,8 Mb
Release : 2013-04-05
Category : Science
ISBN : 9783642351068

Get Book

Strongly Correlated Systems by Adolfo Avella,Ferdinando Mancini Pdf

This volume presents, for the very first time, an exhaustive collection of those modern numerical methods specifically tailored for the analysis of Strongly Correlated Systems. Many novel materials, with functional properties emerging from macroscopic quantum behaviors at the frontier of modern research in physics, chemistry and material science, belong to this class of systems. Any technique is presented in great detail by its own inventor or by one of the world-wide recognized main contributors. The exposition has a clear pedagogical cut and fully reports on the most relevant case study where the specific technique showed to be very successful in describing and enlightening the puzzling physics of a particular strongly correlated system. The book is intended for advanced graduate students and post-docs in the field as textbook and/or main reference, but also for other researchers in the field who appreciate consulting a single, but comprehensive, source or wishes to get acquainted, in a as painless as possible way, with the working details of a specific technique.

Density Matrix Renormalization Group (DMRG)-based Approaches in Computational Chemistry

Author : Haibo Ma,Ulrich Schollwöck,Zhigang Shuai
Publisher : Elsevier
Page : 337 pages
File Size : 51,5 Mb
Release : 2022-08-21
Category : Science
ISBN : 9780323856959

Get Book

Density Matrix Renormalization Group (DMRG)-based Approaches in Computational Chemistry by Haibo Ma,Ulrich Schollwöck,Zhigang Shuai Pdf

Density Matrix Renormalization Group (DMRG)-based Approaches in Computational Chemistry outlines important theories and algorithms of DMRG-based approaches and explores their use in computational chemistry. Beginning with an introduction to DMRG and DMRG-based approaches, the book goes on to discuss the key theories and applications of DMRG, from DMRG for semi-empirical and ab-initio quantum chemistry, to DMRG in embedded environments, frequency spaces and quantum dynamics. Drawing on the experience of its expert authors, sections detail recent ideas and key developments, providing an up-to-date view of current developments in the field for students and researchers in quantum chemistry. Provides an expertly-curated, consolidated overview of research in the field Includes exercises that support learning and link theory to practice Outlines key theories and algorithms for computational chemistry applications

Transition Metals in Coordination Environments

Author : Ewa Broclawik,Tomasz Borowski,Mariusz Radoń
Publisher : Springer
Page : 532 pages
File Size : 51,6 Mb
Release : 2019-03-16
Category : Science
ISBN : 9783030117146

Get Book

Transition Metals in Coordination Environments by Ewa Broclawik,Tomasz Borowski,Mariusz Radoń Pdf

This book focuses on the electronic properties of transition metals in coordination environments. These properties are responsible for the unique and intricate activity of transition metal sites in bio- and inorganic catalysis, but also pose challenges for both theoretical and experimental studies. Written by an international group of recognized experts, the book reviews recent advances in computational modeling and discusses their interplay using experiments. It covers a broad range of topics, including advanced computational methods for transition metal systems; spectroscopic, electrochemical and catalytic properties of transition metals in coordination environments; metalloenzymes and biomimetic compounds; and spin-related phenomena. As such, the book offers an invaluable resource for all researchers and postgraduate students interested in both fundamental and application-oriented research in the field of transition metal systems.

Renormalization

Author : John C. Collins
Publisher : Cambridge University Press
Page : 393 pages
File Size : 43,6 Mb
Release : 2023-07-31
Category : Science
ISBN : 9781009401760

Get Book

Renormalization by John C. Collins Pdf

Theoretical Methods for Strongly Correlated Electrons

Author : David Sénéchal,Andre-Marie Tremblay,Claude Bourbonnais
Publisher : Springer Science & Business Media
Page : 362 pages
File Size : 43,7 Mb
Release : 2006-05-09
Category : Science
ISBN : 9780387217178

Get Book

Theoretical Methods for Strongly Correlated Electrons by David Sénéchal,Andre-Marie Tremblay,Claude Bourbonnais Pdf

Focusing on the purely theoretical aspects of strongly correlated electrons, this volume brings together a variety of approaches to models of the Hubbard type - i.e., problems where both localized and delocalized elements are present in low dimensions. The chapters are arranged in three parts. The first part deals with two of the most widely used numerical methods in strongly correlated electrons, the density matrix renormalization group and the quantum Monte Carlo method. The second part covers Lagrangian, Functional Integral, Renormalization Group, Conformal, and Bosonization methods that can be applied to one-dimensional or weakly coupled chains. The third part considers functional derivatives, mean-field, self-consistent methods, slave-bosons, and extensions.

A Chemist's Guide to Density Functional Theory

Author : Wolfram Koch,Max C. Holthausen
Publisher : John Wiley & Sons
Page : 313 pages
File Size : 49,9 Mb
Release : 2015-11-18
Category : Science
ISBN : 9783527802814

Get Book

A Chemist's Guide to Density Functional Theory by Wolfram Koch,Max C. Holthausen Pdf

"Chemists familiar with conventional quantum mechanics will applaud and benefit greatly from this particularly instructive, thorough and clearly written exposition of density functional theory: its basis, concepts, terms, implementation, and performance in diverse applications. Users of DFT for structure, energy, and molecular property computations, as well as reaction mechanism studies, are guided to the optimum choices of the most effective methods. Well done!" Paul von Ragué Schleyer "A conspicuous hole in the computational chemist's library is nicely filled by this book, which provides a wide-ranging and pragmatic view of the subject.[...It] should justifiably become the favorite text on the subject for practioneers who aim to use DFT to solve chemical problems." J. F. Stanton, J. Am. Chem. Soc. "The authors' aim is to guide the chemist through basic theoretical and related technical aspects of DFT at an easy-to-understand theoretical level. They succeed admirably." P. C. H. Mitchell, Appl. Organomet. Chem. "The authors have done an excellent service to the chemical community. [...] A Chemist's Guide to Density Functional Theory is exactly what the title suggests. It should be an invaluable source of insight and knowledge for many chemists using DFT approaches to solve chemical problems." M. Kaupp, Angew. Chem.

Mass Term Effect on Fractional Quantum Hall States of Dirac Particles

Author : Kouki Yonaga
Publisher : Springer Nature
Page : 96 pages
File Size : 49,6 Mb
Release : 2022-01-24
Category : Science
ISBN : 9789811691669

Get Book

Mass Term Effect on Fractional Quantum Hall States of Dirac Particles by Kouki Yonaga Pdf

This book presents the high-precision analysis of ground states and low-energy excitations in fractional quantum Hall states formed by Dirac electrons, which have attracted a great deal of attention. In particular the author focuses on the physics of fractional quantum Hall states in graphene on a hexagonal boron nitride substrate, which was recently implemented in experiments. The numerical approach employed in the book, which uses an exact numerical diagonalization of an effective model Hamiltonian on a Haldane’s sphere based on pseudopotential representation of electron interaction, provides a better understanding of the recent experiments. The book reviews various aspects of quantum Hall effect: a brief history, recent experiments with graphene, and fundamental theories on integer and fractional Hall effects. It allows readers to quickly grasp the physics of quantum Hall states of Dirac fermions, and to catch up on latest research on the quantum Hall effect in graphene.

Emergent Phenomena in Correlated Matter

Author : Eva Pavarini,Erik Koch,Ulrich Schollwöck
Publisher : Forschungszentrum Jülich
Page : 562 pages
File Size : 45,7 Mb
Release : 2013
Category : Electronic
ISBN : 9783893368846

Get Book

Emergent Phenomena in Correlated Matter by Eva Pavarini,Erik Koch,Ulrich Schollwöck Pdf