Quantum Impurity Problems In The Framework Of Natural Orbitals

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Quantum Impurity Problems in the Framework of Natural Orbitals

Author : Maxime Debertolis
Publisher : Springer Nature
ISBN 13 : 3031472330
Total Pages : 170 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Quantum Impurity Problems in the Framework of Natural Orbitals by : Maxime Debertolis

Download or read book Quantum Impurity Problems in the Framework of Natural Orbitals written by Maxime Debertolis and published by Springer Nature. This book was released on 2024-01-03 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a complete study of natural orbitals in quantum impurity problems, revealing a certain simplicity in these interacting many-body problems. These systems consist of a few localized degrees of freedom that undergo strong interactions and hybridize with a larger system of free particles; they are central in the study of strongly correlated systems. In a first step, the standard non-perturbative numerical renormalization group method is employed to demonstrate the hierarchical structure of correlations unveiled by natural orbitals. This simplification brought new insights for simulating quantum impurity problems, and a new algorithm is developed to generate an optimized subset of natural orbitals independently of existing methods, going beyond their usual limitations. This algorithm is presented in detail in the book, and a careful benchmark on known results is carried out to guarantee the validity of the method. It is then used to study spatial entanglement structures under various conditions that were not accessible with previous methods, such as representing the electron bath by a realistic 2D square lattice or taking account of static disorder in the metallic host. In the last chapter, the non-interacting problem in the presence of disorder is studied through random matrix theory, reproducing some of the results presented in the previous chapters. The main original result of this chapter lies in the analytical calculation of the joint distribution of one-particle orbitals energies and amplitudes of the impurity, which makes it possible to calculate any disordered averaged local correlation functions. Starting from this result, calculations in the large-N limit are compared with numerical simulations.

Quantum Impurity Problems

Author : Gergely Zaránd
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (134 download)

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Book Synopsis Quantum Impurity Problems by : Gergely Zaránd

Download or read book Quantum Impurity Problems written by Gergely Zaránd and published by . This book was released on 2004 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Local Moment Phases in Quantum Impurity Problems

Author : Adam Philip Tucker
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (16 download)

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Book Synopsis Local Moment Phases in Quantum Impurity Problems by : Adam Philip Tucker

Download or read book Local Moment Phases in Quantum Impurity Problems written by Adam Philip Tucker and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Local Structural Characterisation

Author : Duncan W. Bruce
Publisher : John Wiley & Sons
ISBN 13 : 1118681924
Total Pages : 298 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Local Structural Characterisation by : Duncan W. Bruce

Download or read book Local Structural Characterisation written by Duncan W. Bruce and published by John Wiley & Sons. This book was released on 2013-07-31 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inorganic materials are at the heart of many contemporary real-world applications, in electronic devices, drug delivery, bio-inspired materials and energy storage and transport. In order to underpin novel synthesis strategies both to facilitate these applications and to encourage new ones, a thorough review of current and emerging techniques for materials characterisation is needed. Examining important techniques that allow investigation of the structures of inorganic materials on the local atomic scale, Local Structural Characterisation discusses: Solid-State NMR Spectroscopy X-Ray Absorption and Emission Spectroscopy Neutrons and Neutron Spectroscopy EPR Spectroscopy of Inorganic Materials Analysis of Functional Materials by X-Ray Photoelectron Spectroscopy This addition to the Inorganic Materials Series provides a detailed and thorough review of these spectroscopic techniques and emphasises the interplay between chemical synthesis and physical characterisation.

Solvers for Quantum Impurity Problems (with Superconducting Baths)

Author : Rok Žitko
Publisher :
ISBN 13 :
Total Pages : 33 pages
Book Rating : 4.:/5 (132 download)

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Book Synopsis Solvers for Quantum Impurity Problems (with Superconducting Baths) by : Rok Žitko

Download or read book Solvers for Quantum Impurity Problems (with Superconducting Baths) written by Rok Žitko and published by . This book was released on 2021 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quantum Monte Carlo Simulations of Disordered Fermi Systems

Author : Carey Bryan Huscroft
Publisher :
ISBN 13 :
Total Pages : 388 pages
Book Rating : 4.:/5 (58 download)

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Book Synopsis Quantum Monte Carlo Simulations of Disordered Fermi Systems by : Carey Bryan Huscroft

Download or read book Quantum Monte Carlo Simulations of Disordered Fermi Systems written by Carey Bryan Huscroft and published by . This book was released on 1998 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Condensed Matter Field Theory

Author : Alexander Altland
Publisher : Cambridge University Press
ISBN 13 : 0521769752
Total Pages : 785 pages
Book Rating : 4.5/5 (217 download)

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Book Synopsis Condensed Matter Field Theory by : Alexander Altland

Download or read book Condensed Matter Field Theory written by Alexander Altland and published by Cambridge University Press. This book was released on 2010-03-11 with total page 785 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Henrik Bruus
Publisher : Oxford University Press
ISBN 13 : 0198566336
Total Pages : 458 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Many-Body Quantum Theory in Condensed Matter Physics by : Henrik Bruus

Download or read book Many-Body Quantum Theory in Condensed Matter Physics written by Henrik Bruus and published by Oxford University Press. This book was released on 2004-09-02 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Frontiers in Quantum Systems in Chemistry and Physics

Author : P.J. Grout
Publisher : Springer Science & Business Media
ISBN 13 : 1402087071
Total Pages : 586 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Frontiers in Quantum Systems in Chemistry and Physics by : P.J. Grout

Download or read book Frontiers in Quantum Systems in Chemistry and Physics written by P.J. Grout and published by Springer Science & Business Media. This book was released on 2008-09-12 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Electronic Structure of Quantum Confined Atoms and Molecules

Author : K.D. Sen
Publisher : Springer
ISBN 13 : 3319099825
Total Pages : 260 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Electronic Structure of Quantum Confined Atoms and Molecules by : K.D. Sen

Download or read book Electronic Structure of Quantum Confined Atoms and Molecules written by K.D. Sen and published by Springer. This book was released on 2014-09-19 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume is a collection of review articles highlighting the fundamental advances made in this area by the internationally acclaimed research groups , most of them being pioneers themselves and coming together for the first time.

Emergent Phenomena in Correlated Matter

Author : Eva Pavarini
Publisher : Forschungszentrum Jülich
ISBN 13 : 3893368841
Total Pages : 562 pages
Book Rating : 4.8/5 (933 download)

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Book Synopsis Emergent Phenomena in Correlated Matter by : Eva Pavarini

Download or read book Emergent Phenomena in Correlated Matter written by Eva Pavarini and published by Forschungszentrum Jülich. This book was released on 2013 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Molecular Quantum Dynamics

Author : Fabien Gatti
Publisher : Springer Science & Business Media
ISBN 13 : 3642452906
Total Pages : 281 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Molecular Quantum Dynamics by : Fabien Gatti

Download or read book Molecular Quantum Dynamics written by Fabien Gatti and published by Springer Science & Business Media. This book was released on 2014-04-09 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on current applications of molecular quantum dynamics. Examples from all main subjects in the field, presented by the internationally renowned experts, illustrate the importance of the domain. Recent success in helping to understand experimental observations in fields like heterogeneous catalysis, photochemistry, reactive scattering, optical spectroscopy, or femto- and attosecond chemistry and spectroscopy underline that nuclear quantum mechanical effects affect many areas of chemical and physical research. In contrast to standard quantum chemistry calculations, where the nuclei are treated classically, molecular quantum dynamics can cover quantum mechanical effects in their motion. Many examples, ranging from fundamental to applied problems, are known today that are impacted by nuclear quantum mechanical effects, including phenomena like tunneling, zero point energy effects, or non-adiabatic transitions. Being important to correctly understand many observations in chemical, organic and biological systems, or for the understanding of molecular spectroscopy, the range of applications covered in this book comprises broad areas of science: from astrophysics and the physics and chemistry of the atmosphere, over elementary processes in chemistry, to biological processes (such as the first steps of photosynthesis or vision). Nevertheless, many researchers refrain from entering this domain. The book "Molecular Quantum Dynamics" offers them an accessible introduction. Although the calculation of large systems still presents a challenge - despite the considerable power of modern computers - new strategies have been developed to extend the studies to systems of increasing size. Such strategies are presented after a brief overview of the historical background. Strong emphasis is put on an educational presentation of the fundamental concepts, so that the reader can inform himself about the most important concepts, like eigenstates, wave packets, quantum mechanical resonances, entanglement, etc. The chosen examples highlight that high-level experiments and theory need to work closely together. This book thus is a must-read both for researchers working experimentally or theoretically in the concerned fields, and generally for anyone interested in the exciting world of molecular quantum dynamics.

Quantum Magnetism

Author : Ulrich Schollwöck
Publisher : Springer
ISBN 13 : 3540400664
Total Pages : 488 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Quantum Magnetism by : Ulrich Schollwöck

Download or read book Quantum Magnetism written by Ulrich Schollwöck and published by Springer. This book was released on 2008-05-14 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Closing a gap in the literature, this volume is intended both as an introductory text at postgraduate level and as a modern, comprehensive reference for researchers in the field. Provides a full working description of the main fundamental tools in the theorists toolbox which have proven themselves on the field of quantum magnetism in recent years. Concludes by focusing on the most important cuurent materials form an experimental viewpoint, thus linking back to the initial theoretical concepts.

Physics of Surfaces and Interfaces

Author : Harald Ibach
Publisher : Springer Science & Business Media
ISBN 13 : 3540347100
Total Pages : 653 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Physics of Surfaces and Interfaces by : Harald Ibach

Download or read book Physics of Surfaces and Interfaces written by Harald Ibach and published by Springer Science & Business Media. This book was released on 2006-11-18 with total page 653 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level textbook covers the major developments in surface sciences of recent decades, from experimental tricks and basic techniques to the latest experimental methods and theoretical understanding. It is unique in its attempt to treat the physics of surfaces, thin films and interfaces, surface chemistry, thermodynamics, statistical physics and the physics of the solid/electrolyte interface in an integral manner, rather than in separate compartments. It is designed as a handbook for the researcher as well as a study-text for graduate students. Written explanations are supported by 350 graphs and illustrations.

Physics Briefs

Author :
Publisher :
ISBN 13 :
Total Pages : 934 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Physics Briefs by :

Download or read book Physics Briefs written by and published by . This book was released on 1994 with total page 934 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Molecular Electronic-Structure Theory

Author : Trygve Helgaker
Publisher : John Wiley & Sons
ISBN 13 : 1119019559
Total Pages : 949 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Molecular Electronic-Structure Theory by : Trygve Helgaker

Download or read book Molecular Electronic-Structure Theory written by Trygve Helgaker and published by John Wiley & Sons. This book was released on 2014-08-11 with total page 949 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ab initio quantum chemistry has emerged as an important tool in chemical research and is appliced to a wide variety of problems in chemistry and molecular physics. Recent developments of computational methods have enabled previously intractable chemical problems to be solved using rigorous quantum-mechanical methods. This is the first comprehensive, up-to-date and technical work to cover all the important aspects of modern molecular electronic-structure theory. Topics covered in the book include: * Second quantization with spin adaptation * Gaussian basis sets and molecular-integral evaluation * Hartree-Fock theory * Configuration-interaction and multi-configurational self-consistent theory * Coupled-cluster theory for ground and excited states * Perturbation theory for single- and multi-configurational states * Linear-scaling techniques and the fast multipole method * Explicity correlated wave functions * Basis-set convergence and extrapolation * Calibration and benchmarking of computational methods, with applications to moelcular equilibrium structure, atomization energies and reaction enthalpies. Molecular Electronic-Structure Theory makes extensive use of numerical examples, designed to illustrate the strengths and weaknesses of each method treated. In addition, statements about the usefulness and deficiencies of the various methods are supported by actual examples, not just model calculations. Problems and exercises are provided at the end of each chapter, complete with hints and solutions. This book is a must for researchers in the field of quantum chemistry as well as for nonspecialists who wish to acquire a thorough understanding of ab initio molecular electronic-structure theory and its applications to problems in chemistry and physics. It is also highly recommended for the teaching of graduates and advanced undergraduates.

The Kondo Problem to Heavy Fermions

Author : Alexander Cyril Hewson
Publisher : Cambridge University Press
ISBN 13 : 9780521599474
Total Pages : 476 pages
Book Rating : 4.5/5 (994 download)

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Book Synopsis The Kondo Problem to Heavy Fermions by : Alexander Cyril Hewson

Download or read book The Kondo Problem to Heavy Fermions written by Alexander Cyril Hewson and published by Cambridge University Press. This book was released on 1997-04-28 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: The behaviour of magnetic impurities in metals has posed problems to challenge the condensed matter theorist over the past 30 years. This book deals with the concepts and techniques which have been developed to meet this challenge, and with their application to the interpretation of experiments. This book will be of interest to condensed matter physicists, particularly those interested in strong correlation problems. The detailed discussions of advanced many-body techniques should make it of interest to theoretical physicists in general.