SpringerBriefs in Mathematical Physics – serie
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55 produkter
Lectures on Factorization Homology, ∞-Categories, and Topological Field Theories
Häftad, 2020
769 kr
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This book provides an informal and geodesic introduction to factorization homology, focusing on providing intuition through simple examples. Along the way, the reader is also introduced to modern ideas in homotopy theory and category theory, particularly as it relates to the use of …
First Course in the Sporadic SICs
Häftad, 2021
716 kr
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This book focuses on the Symmetric Informationally Complete quantum measurements (SICs) in dimensions 2 and 3, along with one set of SICs in dimension 8. These objects stand out in ways that have earned them the moniker of "sporadic SICs". By some standards, they are more approachable than the …
String-Net Construction of RCFT Correlators
Av Jürgen Fuchs, Christoph Schweigert m. fl.
Häftad, 2023
551 kr
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This book studies using string-net models to accomplish a direct, purely two-dimensional, approach to correlators of two-dimensional rational conformal field theories. The authors obtain concise geometric expressions for the objects describing bulk and boundary fields in terms of idempotents in the …
Branes and DAHA Representations
Av Sergei Gukov, Peter Koroteev m. fl.
Häftad, 2023
498 kr
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In recent years, there has been an increased interest in exploring the connections between various disciplines of mathematics and theoretical physics such as representation theory, algebraic geometry, quantum field theory, and string theory. One of the challenges of modern mathematical physics is …
Kinetically Constrained Models
Av Ivailo Hartarsky, Cristina Toninelli
Häftad, 2025
551 kr
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This book offers an in-depth review of kinetically constrained models (KCMs), a topic that lies at the crossroads of probability and statistical mechanics. KCMs have captivated physicists ever since their introduction in the 1980s. Their remarkable glassy behavior makes them an essential toy model …
What is a Fluctuation Theorem?
Av Noé Cuneo, Vojkan Jakšić m. fl.
Häftad, 2026
821 kr
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This book provides a modern review of Fluctuation Relations and Fluctuation Theorems in nonequilibrium statistical mechanics. It focuses on the pioneering perspectives of Gallavotti and Cohen, according to which a fluctuation theorem describes the statistics of the deviations of entropy production …
Formality Theory
From Poisson Structures to Deformation Quantization
Häftad, 2014
660 kr
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This book is a survey of the theory of formal deformation quantization of Poisson manifolds, in the formalism developed by Kontsevich. It is intended as an educational introduction for mathematical physicists who are dealing with the subject for the first time. The main topics covered are the …
Tensor Categories and Endomorphisms of von Neumann Algebras
with Applications to Quantum Field Theory
Av Marcel Bischoff, Yasuyuki Kawahigashi m. fl.
Häftad, 2015
551 kr
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C* tensor categories are a point of contact where Operator Algebras and Quantum Field Theory meet. They are the underlying unifying concept for homomorphisms of (properly infinite) von Neumann algebras and representations of quantum observables.The present introductory text reviews the basic …
Quantum Information Processing with Finite Resources
Mathematical Foundations
Häftad, 2015
877 kr
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This book provides the reader with the mathematical framework required to fully explore the potential of small quantum information processing devices. As decoherence will continue to limit their size, it is essential to master the conceptual tools which make such investigations possible.A strong …
Cosmological Applications of Algebraic Quantum Field Theory in Curved Spacetimes
Häftad, 2015
660 kr
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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; and a fundamental study of …
Supersymmetry and Noncommutative Geometry
Av Wim Beenakker, Thijs van den Broek m. fl.
Häftad, 2015
607 kr
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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 has not been answered in a …
Effective Evolution Equations from Quantum Dynamics
Av Niels Benedikter, Marcello Porta m. fl.
Häftad, 2015
551 kr
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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 time-dependent effective theories …
Free Boundary Problems in PDEs and Particle Systems
Av Gioia Carinci, Anna De Masi m. fl.
Häftad, 2016
551 kr
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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 of systems where the interaction …
Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory
Av J.-B. Bru, W. de Siqueira Pedra
Häftad, 2016
551 kr
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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 solutions is shown for those …
Combinatorial Perspective on Quantum Field Theory
Av Karen Yeats
Häftad, 2016
660 kr
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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 theory. Among the outcomes are …
Kadison-Singer Property
Häftad, 2016
551 kr
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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 of B(H), does every pure state on A …
Reflected Brownian Motions in the KPZ Universality Class
Av Thomas Weiss, Patrik Ferrari m. fl.
Häftad, 2016
660 kr
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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) universality class. In fact, …
Computational Non-commutative Geometry Program for Disordered Topological Insulators
Av Emil Prodan
Häftad, 2017
607 kr
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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 the investigation of homogeneous …
Linear Response Theory
An Analytic-Algebraic Approach
Av Giuseppe De Nittis, Max Lein
Häftad, 2017
660 kr
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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 and robust tool to implement …
Hadamard States from Light-like Hypersurfaces
Av Claudio Dappiaggi, Valter Moretti m. fl.
Häftad, 2017
551 kr
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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 of this topic and on …
Schramm–Loewner Evolution
Häftad, 2018
825 kr
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This book is a short, but complete, introduction to the Loewner equation and the SLEs, which are a family of random fractal curves, as well as the relevant background in probability and complex analysis. The connection to statistical physics is also developed in the text in an example case. The …
Introduction to Random Matrices
Theory and Practice
Av Giacomo Livan, Marcel Novaes m. fl.
Häftad, 2018
825 kr
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Modern developments of Random Matrix Theory as well as pedagogical approaches to the standard core of the discipline are surprisingly hard to find in a well-organized, readable and user-friendly fashion. This slim and agile book, written in a pedagogical and hands-on style, without sacrificing …
Approximate Quantum Markov Chains
Av David Sutter
Häftad, 2018
551 kr
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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 such that it reveals a …
Reflection Positivity
A Representation Theoretic Perspective
Av Karl-Hermann Neeb, Gestur Ólafsson
Häftad, 2018
607 kr
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Refection Positivity is a central theme at the crossroads of Lie group representations, euclidean and abstract harmonic analysis, constructive quantum field theory, and stochastic processes.This book provides the first presentation of the representation theoretic aspects of Refection Positivity and …
Spectral Action in Noncommutative Geometry
Av Michał Eckstein, Bruno Iochum
Häftad, 2019
607 kr
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What is spectral action, how to compute it and what are the known examples? This book offers a guided tour through the mathematical habitat of noncommutative geometry à la Connes, deliberately unveiling the answers to these questions.After a brief preface flashing the panorama of the spectral …
Entanglement Measures and Their Properties in Quantum Field Theory
Av Stefan Hollands, Ko Sanders
Häftad, 2018
660 kr
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This book gives a rigorous treatment of entanglement measures in the general context of quantum field theory. It covers a broad range of models and the use of fields allows us to properly take the localization of systems into account. The required mathematical techniques are introduced in a …
Dynamics of Extremal Black Holes
Häftad, 2018
825 kr
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This Brief presents in a self-contained, non-technical and illustrative fashion the state-of-the-art results and techniques for the dynamics of extremal black holes. Extremal black holes are, roughly speaking, either maximally rotating or maximally charged. Astronomical observations suggest that …
Introduction to Supergravity
Häftad, 2014
716 kr
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This book is a pedagogical introduction to supergravity, a gravitational field theory that includes supersymmetry (symmetry between bosons and fermions) and is a generalization of Einstein's general relativity. Supergravity provides a low-energy effective theory of superstring theory, which has …
Virtual Turning Points
Av Naofumi Honda, Takahiro Kawai m. fl.
Häftad, 2015
551 kr
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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 Noumi–Yamada type and to the analysis …
Quantum States of Light
Häftad, 2015
769 kr
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This book explains what quantum states of light look like. Of special interest, a single photon state is explained by using a wave picture, showing that it corresponds to the complementarity of a quantum. Also explained is how light waves are created by photons, again corresponding to the …
