Télécharger le livre :  Approximate Quantum Markov Chains

This book is an introduction to quantum Markov chains and explains how this concept is connected to the question of how well a lost quantum mechanical system can be recovered from a correlated subsystem. To achieve this goal, we strengthen the data-processing inequality...
Editeur : Springer
Parution : 2018-04-20
Collection : SpringerBriefs in Mathematical Physics
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Télécharger le livre :  Classical Mirror Symmetry

This book furnishes a brief introduction to classical mirror symmetry, a term that denotes the process of computing Gromov–Witten invariants of a Calabi–Yau threefold by using the Picard–Fuchs differential equation of period integrals of its mirror Calabi–Yau threefold....
Editeur : Springer
Parution : 2018-04-18
Collection : SpringerBriefs in Mathematical Physics
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Télécharger le livre :  Hadamard States from Light-like Hypersurfaces

This book provides a rather self-contained survey of the construction of Hadamard states for scalar field theories in a large class of notable spacetimes, possessing a (conformal) light-like boundary. The first two sections focus on explaining a few introductory aspects...
Editeur : Springer
Parution : 2017-09-27
Collection : SpringerBriefs in Mathematical Physics
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Télécharger le livre :  Linear Response Theory

This book presents a modern and systematic approach to Linear Response Theory (LRT) by combining analytic and algebraic ideas. LRT is a tool to study systems that are driven out of equilibrium by external perturbations. In particular the reader is provided with a new...
Editeur : Springer
Parution : 2017-06-21
Collection : SpringerBriefs in Mathematical Physics
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Télécharger le livre :  KP Solitons and the Grassmannians

This is the first book to treat combinatorial and geometric aspects of two-dimensional solitons. Based on recent research by the author and his collaborators, the book presents new developments focused on an interplay between the theory of solitons and the combinatorics...
Editeur : Springer
Parution : 2017-03-24
Collection : SpringerBriefs in Mathematical Physics
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Télécharger le livre :  A Computational Non-commutative Geometry Program for Disordered Topological Insulators

This work presents a computational program based on the principles of non-commutative geometry and showcases several applications to topological insulators. Noncommutative geometry has been originally proposed by Jean Bellissard as a theoretical framework for...
Editeur : Springer
Parution : 2017-03-17
Collection : SpringerBriefs in Mathematical Physics
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Télécharger le livre :  Spectral Analysis of Growing Graphs

This book is designed as a concise introduction to the recent achievements on spectral analysis of graphs or networks from the point of view of quantum (or non-commutative) probability theory. The main topics are spectral distributions of the adjacency matrices of...
Editeur : Springer
Parution : 2017-02-17
Collection : SpringerBriefs in Mathematical Physics
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Télécharger le livre :  Random Matrix Theory with an External Source

This is a first book to show that the theory of the Gaussian random matrix is essential to understand the universal correlations with random fluctuations and to demonstrate that it is useful to evaluate topological universal quantities. We consider Gaussian random...
Editeur : Springer
Parution : 2017-01-11
Collection : SpringerBriefs in Mathematical Physics
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Télécharger le livre :  Reflected Brownian Motions in the KPZ Universality Class

This book presents a detailed study of a system of interacting Brownian motions in one dimension. The interaction is point-like such that the n-th Brownian motion is reflected from the Brownian motion with label n-1.This model belongs to the Kardar-Parisi-Zhang (KPZ)...
Editeur : Springer
Parution : 2016-12-16
Collection : SpringerBriefs in Mathematical Physics
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Télécharger le livre :  Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory

Lieb-Robinson bounds for multi-commutators are effective mathematical tools to handle analytic aspects of infinite volume dynamics of non-relativistic quantum particles with short-range, possibly time-dependent interactions.In particular, the existence of fundamental...
Editeur : Springer
Parution : 2016-11-30
Collection : SpringerBriefs in Mathematical Physics
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Télécharger le livre :  A Combinatorial Perspective on Quantum Field Theory

This book explores combinatorial problems and insights in quantum field theory. It is not comprehensive, but rather takes a tour, shaped by the author’s biases, through some of the important ways that a combinatorial perspective can be brought to bear on quantum field...
Editeur : Springer
Parution : 2016-11-23
Collection : SpringerBriefs in Mathematical Physics
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Télécharger le livre :  The Limit Shape Problem for Ensembles of Young Diagrams

This book treats ensembles of Young diagrams originating from group-theoretical contexts and investigates what statistical properties are observed there in a large-scale limit. The focus is mainly on analyzing the interesting phenomenon that specific curves appear in...
Editeur : Springer
Parution : 2016-11-09
Collection : SpringerBriefs in Mathematical Physics
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Télécharger le livre :  The Kadison-Singer Property

This book gives a complete classification of all algebras with the Kadison-Singer property, when restricting to separable Hilbert spaces. The Kadison-Singer property deals with the following question: given a Hilbert space H and an abelian unital C*-subalgebra A...
Editeur : Springer
Parution : 2016-11-07
Collection : SpringerBriefs in Mathematical Physics
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Télécharger le livre :  Free Boundary Problems in PDEs and Particle Systems

In this volume a theory for models of transport in the presence of a free boundary is developed.Macroscopic laws of transport are described by PDE's. When the system is open, there are several mechanisms to couple the system with the external forces. Here a class...
Editeur : Springer
Parution : 2016-06-22
Collection : SpringerBriefs in Mathematical Physics
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Télécharger le livre :  Bessel Processes, Schramm–Loewner Evolution, and the Dyson Model

The purpose of this book is to introduce two recent topics in mathematical physics and probability theory: the Schramm–Loewner evolution (SLE) and interacting particle systems related to random matrix theory. A typical example of the latter systems is Dyson's Brownian...
Editeur : Springer
Parution : 2016-02-08
Collection : SpringerBriefs in Mathematical Physics
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Télécharger le livre :  Quantum Computation with Topological Codes

This book presents a self-consistent review of quantum computation with topological quantum codes. The book covers everything required to understand topological fault-tolerant quantum computation, ranging from the definition of the surface code to topological quantum...
Editeur : Springer
Parution : 2015-12-15
Collection : SpringerBriefs in Mathematical Physics
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Télécharger le livre :  Effective Evolution Equations from Quantum Dynamics

These notes investigate the time evolution of quantum systems, and in particular the rigorous derivation of effective equations approximating the many-body Schrödinger dynamics in certain physically interesting regimes. The focus is primarily on the derivation of...
Editeur : Springer
Parution : 2015-11-04
Collection : SpringerBriefs in Mathematical Physics
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Télécharger le livre :  Supersymmetry and Noncommutative Geometry

In this work the question whether noncommutative geometry allows for supersymmetric theories is addressed. Noncommutative geometry has seen remarkable applications in high energy physics, viz. the geometrical interpretation of the Standard Model, however such a question...
Editeur : Springer
Parution : 2015-10-22
Collection : SpringerBriefs in Mathematical Physics
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Télécharger le livre :  Cosmological Applications of Algebraic Quantum Field Theory in Curved Spacetimes

This book provides a largely self-contained and broadly accessible exposition on two cosmological applications of algebraic quantum field theory (QFT) in curved spacetime: a fundamental analysis of the cosmological evolution according to the Standard Model of Cosmology;...
Editeur : Springer
Parution : 2015-08-17
Collection : SpringerBriefs in Mathematical Physics
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Télécharger le livre :  Virtual Turning Points

The discovery of a virtual turning point truly is a breakthrough in WKB analysis of higher order differential equations. This monograph expounds the core part of its theory together with its application to the analysis of higher order Painlevé equations of the...
Editeur : Springer
Parution : 2015-07-07
Collection : SpringerBriefs in Mathematical Physics
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