Télécharger le livre :  Symbolic Dynamical Systems  and C*-Algebras

This book presents the interplay between topological Markov shifts and Cuntz–Krieger algebras by providing notations, techniques, and ideas in detail. The main goal of this book is to provide a detailed proof of a classification theorem for continuous orbit...
Editeur : Springer
Parution : 2025-02-06
Collection : Mathematical Physics Studies
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168,79

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Télécharger le livre :  Some Musings on Theta, Eta, and Zeta

This book continues the applications of mathematics, more specifically of theta, eta, and zeta functions, and modular forms, to various areas of theoretical physics. It is a follow-up and extension in some sense of the author’s earlier book entitled A window into zeta...
Editeur : Springer
Parution : 2023-11-02
Collection : Mathematical Physics Studies
Format(s) : PDF, ePub
147,69

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Télécharger le livre :  Many-Body Schrödinger Equation

Spectral properties for Schrödinger operators are a major concern in quantum mechanics both in physics and in mathematics. For the few-particle systems, we now have sufficient knowledge for two-body systems, although much less is known about N-body systems. The...
Editeur : Springer
Parution : 2023-07-27
Collection : Mathematical Physics Studies
Format(s) : PDF, ePub
158,24

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Télécharger le livre :  Einstein Constraints and Ricci Flow

This book contains a self-consistent treatment of a geometric averaging technique, induced by the Ricci flow, that allows comparing a given (generalized) Einstein initial data set with another distinct Einstein initial data set, both supported on a given closed...
Editeur : Springer
Parution : 2023-01-10
Collection : Mathematical Physics Studies
Format(s) : PDF, ePub
116,04

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Télécharger le livre :  Pseudo-Bosons and Their Coherent States

This book is based on the analysis of canonical commutation relations (CCRs) and their possible deformations. In light of the recent interest on PT-quantum mechanics, the author presents a special deformed version of the CCRs, and discusses the consequences of this...
Editeur : Springer
Parution : 2022-04-22
Collection : Mathematical Physics Studies
Format(s) : PDF, ePub
137,14

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Télécharger le livre :  Instanton Counting, Quantum Geometry and Algebra

This book pedagogically describes recent developments in gauge theory, in particular four-dimensional N = 2 supersymmetric gauge theory, in relation to various fields in mathematics, including algebraic geometry, geometric representation theory, vertex...
Editeur : Springer
Parution : 2021-07-05
Collection : Mathematical Physics Studies
Format(s) : PDF, ePub
137,14

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Télécharger le livre :  Scattering Theory for Transport Phenomena

The scattering theory for transport phenomena was initiated by P. Lax and R. Phillips in 1967. Since then, great progress has been made in the field and the work has been ongoing for more than half a century. This book shows part of that progress. The book is...
Editeur : Springer
Parution : 2021-06-27
Collection : Mathematical Physics Studies
Format(s) : PDF, ePub
116,04

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Télécharger le livre :  Deep Learning and Physics

What is deep learning for those who study physics? Is it completely different from physics? Or is it similar? In recent years, machine learning, including deep learning, has begun to be used in various physics studies. Why is that? Is knowing physics useful in...
Editeur : Springer
Parution : 2021-02-20
Collection : Mathematical Physics Studies
Format(s) : PDF, ePub
84,39

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Télécharger le livre :  Quantum f-Divergences in von Neumann Algebras

Relative entropy has played a significant role in various fields of mathematics and physics as the quantum version of the Kullback–Leibler divergence in classical theory. Many variations of relative entropy have been introduced so far with applications to quantum...
Editeur : Springer
Parution : 2021-01-26
Collection : Mathematical Physics Studies
Format(s) : PDF, ePub
94,94

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Télécharger le livre :  The Painlevé Handbook

This book, now in its second edition, introduces the singularity analysis of differential and difference equations via the Painlevé test and shows how Painlevé analysis provides a powerful algorithmic approach to building explicit solutions to nonlinear ordinary and...
Editeur : Springer
Parution : 2020-11-07
Collection : Mathematical Physics Studies
Format(s) : PDF, ePub
158,24

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Télécharger le livre :  Unstable Systems

This book focuses on unstable systems both from the classical and the quantum mechanical points of view and studies the relations between them. The first part deals with quantum systems. Here the main generally used methods today, such as the Gamow approach, and...
Editeur : Springer
Parution : 2020-06-11
Collection : Mathematical Physics Studies
Format(s) : PDF, ePub
94,94

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Télécharger le livre :  Inequivalent Representations of Canonical Commutation and Anti-Commutation Relations

Canonical commutation relations (CCR) and canonical anti-commutation relations (CAR) are basic principles in quantum physics including both quantum mechanics with finite degrees of freedom and quantum field theory. From a structural viewpoint, quantum physics can be...
Editeur : Springer
Parution : 2020-02-04
Collection : Mathematical Physics Studies
Format(s) : PDF, ePub
137,14

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Télécharger le livre :  Quantization, Geometry and Noncommutative Structures in Mathematics and Physics

This monograph presents various ongoing approaches to the vast topic of quantization, which is the process of forming a quantum mechanical system starting from a classical one, and discusses their numerous fruitful interactions with mathematics.The opening chapter...
Editeur : Springer
Parution : 2017-10-26
Collection : Mathematical Physics Studies
Format(s) : PDF, ePub
116,04

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Télécharger le livre :  Lectures on Hyperhamiltonian Dynamics and Physical Applications

This book provides the mathematical foundations of the theory of hyperhamiltonian dynamics, together with a discussion of physical applications. In addition, some open problems are discussed. Hyperhamiltonian mechanics represents a generalization of Hamiltonian...
Editeur : Springer
Parution : 2017-07-21
Collection : Mathematical Physics Studies
Format(s) : PDF, ePub
84,39

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Télécharger le livre :  Rigorous Time Slicing Approach to Feynman Path Integrals

This book proves that Feynman's original definition of the path integral actually converges to the fundamental solution of the Schrödinger equation at least in the short term if the potential is differentiable sufficiently many times and its derivatives of order equal...
Editeur : Springer
Parution : 2017-06-24
Collection : Mathematical Physics Studies
Format(s) : PDF, ePub
126,59

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Télécharger le livre :  Geometrodynamics of Gauge Fields

This monograph aims to provide a unified, geometrical foundation of gauge theories of elementary particle physics. The underlying geometrical structure is unfolded in a coordinate-free manner via the modern mathematical notions of fibre bundles and exterior forms....
Editeur : Springer
Parution : 2017-01-22
Collection : Mathematical Physics Studies
Format(s) : PDF, ePub
147,69

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Télécharger le livre :  Asymptotic Expansion of a Partition Function Related to the Sinh-model

This book elaborates on the asymptotic behaviour, when N is large, of certain N-dimensional integrals which typically occur in random matrices, or in 1+1 dimensional quantum integrable models solvable by the quantum separation of variables. The introduction presents the...
Editeur : Springer
Parution : 2016-12-08
Collection : Mathematical Physics Studies
Format(s) : PDF, ePub
52,74

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Télécharger le livre :  Perturbative Algebraic Quantum Field Theory

Perturbative Algebraic Quantum Field Theory (pAQFT), the subject of this book, is a complete and mathematically rigorous treatment of perturbative quantum field theory (pQFT) that doesn’t require the use of divergent quantities and works on a large class of Lorenzian...
Editeur : Springer
Parution : 2016-03-16
Collection : Mathematical Physics Studies
Format(s) : ePub
94,94

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Télécharger le livre :  Bulk and Boundary Invariants for Complex Topological Insulators

This monograph offers an overview of rigorous results on fermionic topological insulators from the complex classes, namely, those without symmetries or with just a chiral symmetry. Particular focus is on the stability of the topological invariants in the presence of...
Editeur : Springer
Parution : 2016-02-05
Collection : Mathematical Physics Studies
Format(s) : PDF, ePub
94,94

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Télécharger le livre :  New Dualities of Supersymmetric Gauge Theories

This book reviews a number of spectacular advances that have been made in the study of supersymmetric quantum field theories in the last few years. Highlights include exact calculations of Wilson loop expectation values, and highly nontrivial quantitative checks of the...
Editeur : Springer
Parution : 2015-11-17
Collection : Mathematical Physics Studies
Format(s) : PDF, ePub
52,74

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