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Geometry, Topology And Operator Algebras - Global Analysis, Invariants And Their Significance In Theoretical Physics

~~94,62€~~ 85,16€ 10% OFF

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 This book offers a comprehensive exploration of contemporary intersections between geometry, topology, and theoretical physics, emphasizing their mathematical foundations and applications.
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Quantum Groups And Related Topics - Proceedings Of The First Max Born Symposium

97,34€ + 10% CARD

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 The papers in this volume are devoted to quantum group theory, non-commutative differential geometry and integrable systems. Emphasis is given to the formalism of noncommutative geometry on the quantum geometry of quantum groups and the quantum deformation of Poincare algebra.
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Physics On Manifolds - Proceedings Of The International Colloquium In Honour Of Yvonne Choquet-Bruhat, Paris, June 3-5, 1992

97,34€ + 10% CARD

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 Illustrates developments in the many areas of contemporary physics which have benefitted from the work and influence of Yvonne Choquet-Bruhat. The work considers the role of geometry of manifolds in space-time physics and that of functional analysis in quantum mechanics and quantum field theory.
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Kortewegâ€“De Vries Flows With General Initial Conditions

by Shinichi Kotani

~~106,80€~~ 96,12€ 10% OFF

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 The authorâ€™s method is to represent the tau functions introduced by Hirotaâ€"Sato and developed by Segalâ€"Wilson later in terms of the Weylâ€"Titchmarsh functions (WT functions, in short) for the underlying SchrÃ¶dinger operators.
ENGLISH

Geometry, Topology And Operator Algebras - Global Analysis, Invariants And Their Significance In Theoretical Physics

~~92,74€~~ 83,47€ 10% OFF

 This book offers a comprehensive exploration of contemporary intersections between geometry, topology, and theoretical physics, emphasizing their mathematical foundations and applications.
ENGLISH

Spectral Analysis Of N-Body Schrodinger Operators At Two-Cluster Thresholds

by Erik Skibsted e Xue Ping Wang

~~148,70€~~ 133,83€ 10% OFF

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 This book provides a systematic study of spectral and scattering theory for many-body SchrÃ¶dinger operators at two-cluster thresholds. While the two-body problem (reduced after separation of the centre of mass motion to a one-body problem at zero energy) is a well-studied subject, the literature on many-body threshold problems is sparse.
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Symbolic Dynamical Systems And C*-Algebras - Continuous Orbit Equivalence Of Topological Markov Shifts And Cuntz-Krieger Algebras

by Kengo Matsumoto

~~198,09€~~ 178,28€ 10% OFF

 <p>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 equivalence of one-sided topological Markov shifts. The continuous orbit equivalence of one-sided topological Markov shifts is classified in terms of several different mathematical objects: the étale groupoids, the actions of the continuous full groups on the Markov shifts, the algebraic type of continuous full groups, the Cuntz-Krieger algebras, and the K-theory dates of the Cuntz-Krieger algebras. This classification result shows that topological Markov shifts have deep connections with not only operator algebras but also groupoid theory, infinite non-amenable groups, group actions, graph theory, linear algebras, K-theory, and so on. By using this classification result, the complete classification of flow equivalence in two-sided topological Markov shifts is described in terms of Cuntz-Krieger algebras. The author will also study the relationship between the topological conjugacy of topological Markov shifts and the gauge actions of Cuntz-Krieger algebras.</p>
ENGLISH

Spectral Analysis Of N-Body Schrodinger Operators At Two-Cluster Thresholds

by Erik Skibsted e Xue Ping Wang

~~145,74€~~ 131,17€ 10% OFF

 This book provides a systematic study of spectral and scattering theory for many-body SchrÃ¶dinger operators at two-cluster thresholds. While the two-body problem (reduced after separation of the centre of mass motion to a one-body problem at zero energy) is a well-studied subject, the literature on many-body threshold problems is sparse.
ENGLISH

Harmonic Analysis In Operator Algebras And Its Applications To Index Theory And Topological Solid State Systems

by Hermann Schulz-Baldes e Tom Stoiber

~~162,21€~~ 145,99€ 10% OFF

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 This book contains a self-consistent treatment of Besov spaces for W*-dynamical systems, based on the Arveson spectrum and Fourier multipliers. Generalizing classical results by Peller, spaces of Besov operators are then characterized by trace class properties of the associated Hankel operators lying in the W*-crossed product algebra.
ENGLISH

Einstein Constraints And Ricci Flow - A Geometrical Averaging Of Initial Data Sets

by Annalisa Marzuoli e Mauro Carfora

~~148,70€~~ 133,83€ 10% OFF

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 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 n-dimensional manifold.
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Some Musings On Theta, Eta, And Zeta - From E8 To Cold Plasma To An Lnhomogeneous Universe

by Floyd L. Williams

124,37€ + 10% CARD

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 This book continues the applications of mathematics, more specifically of theta, eta, and zeta functions, and modular forms, to various areas of theoretical physics.
ENGLISH

Korteweg-De Vries Flows With General Initial Conditions

by Shinichi Kotani

~~145,09€~~ 130,58€ 10% OFF

 <p>Large numbers of studies of the KdV equation have appeared since the pioneering paper by Gardner, Greene, Kruskal, and Miura in 1967. Most of those works have employed the inverse spectral method for 1D Schrödinger operators or an advanced Fourier analysis. Although algebraic approaches have been discovered by Hirota-Sato and Marchenko independently, those have not been fully investigated and analyzed.</p><p> </p>The present book offers a new approach to the study of the KdV equation, which treats decaying initial data and oscillating data in a unified manner. The author’s method is to represent the tau functions introduced by Hirota-Sato and developed by Segal-Wilson later in terms of the Weyl-Titchmarsh functions (WT functions, in short) for the underlying Schrödinger operators. The main result is stated by a class of WT functions satisfying some of the asymptotic behavior along a curve approaching the spectrum of the Schrödinger operators at + in an order of -(<i>n</i>-1/2)for the <i>n</i>th KdV equation. This class contains many oscillating potentials (initial data) as well as decaying ones. Especially bounded smooth ergodic potentials are included, and under certain conditions on the potentials, the associated Schrödinger operators have dense point spectrum. This provides a mathematical foundation for the study of the soliton turbulence problem initiated by Zakharov, which was the author’s motivation for extending the class of initial data in this book. A large class of almost periodic potentials is also included in these ergodic potentials. P. Deift has conjectured that any solutions to the KdV equation starting from nearly periodic initial data are almost periodic in time. Therefore, our result yields a foundation for this conjecture.<p></p> <p></p><p>For the reader’s benefit, the author has included here (1) a basic knowledge of direct and inverse spectral problem for 1D Schrödinger operators, including the notion of the WT functions; (2)Sato’s Grassmann manifold method revised by Segal-Wilson; and (3) basic results of ergodic Schrödinger operators.</p>
ENGLISH

Some Musings On Theta, Eta, And Zeta - From E8 To Cold Plasma To An Lnhomogeneous Universe

by Floyd L. Williams

158,99€ + 10% CARD

 This book continues the applications of mathematics, more specifically of theta, eta, and zeta functions, and modular forms, to various areas of theoretical physics.
ENGLISH

Many-Body Schrodinger Equation - Scattering Theory And Eigenfunction Expansions

by Hiroshi Isozaki

172,24€ + 10% CARD

 <div><div>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 <i>N</i>-body systems. The asymptotic completeness of time-dependent wave operators was proved in the 1980s and was a landmark in the study of the <i>N</i>-body problem. However, many problems are left open for the stationary <i>N</i>-particle equation. Due to the recent rapid development of computer power, it is now possible to compute the three-body scattering problem numerically, in which the stationary formulation of scattering is used. This means that the stationary theory for <i>N</i>-body Schrödinger operators remains an important problem of quantum mechanics. It is stressed here that for the three-body problem, we have a satisfactory stationary theory. This book is devoted to the mathematical aspects of the <i>N</i>-body problem from both the time-dependent and stationary viewpoints. The main themes are:</div><div>(1) The Mourre theory for the resolvent of self-adjoint operators</div><div>(2) Two-body Schrödinger operators—Time-dependent approach and stationary approach</div><div>(3) Time-dependent approach to <i>N</i>-body Schrödinger operators</div><div>(4) Eigenfunction expansion theory for three-body Schrödinger operators</div><div>Compared with existing books for the many-body problem, the salient feature of this book consists in the stationary scattering theory (4). The eigenfunction expansion theorem is the physical basis of Schrödinger operators. Recently, it proved to be the basis of inverse problems of quantum scattering. This book provides necessary background information to understand the physical and mathematical basis of Schrödinger operators and standard knowledge for future development. </div></div>
ENGLISH

Einstein Constraints And Ricci Flow - A Geometrical Averaging Of Initial Data Sets

by Annalisa Marzuoli e Mauro Carfora

148,70€ + 10% CARD

free shipping

 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 n-dimensional manifold.
ENGLISH

Harmonic Analysis In Operator Algebras And Its Applications To Index Theory And Topological Solid State Systems

by Hermann Schulz-Baldes e Tom Stoiber

162,21€ + 10% CARD

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 This book contains a self-consistent treatment of Besov spaces for W*-dynamical systems, based on the Arveson spectrum and Fourier multipliers. Generalizing classical results by Peller, spaces of Besov operators are then characterized by trace class properties of the associated Hankel operators lying in the W*-crossed product algebra.
ENGLISH

Pseudo-Bosons And Their Coherent States

by Fabio Bagarello

162,21€ + 10% CARD

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 This book is based on the analysis of canonical commutation relations (CCRs) and their possible deformations. These include the analysis of several non self-adjoint Hamiltonians, a novel view to the position and momentum operators, and a general approach to compute path integrals and transition probabilities using the so-called bi-coherent states.
ENGLISH

Einstein Constraints And Ricci Flow - A Geometrical Averaging Of Initial Data Sets

by Annalisa Marzuoli e Mauro Carfora

145,09€ + 10% CARD

 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 n-dimensional manifold.
ENGLISH

Harmonic Analysis In Operator Algebras And Its Applications To Index Theory And Topological Solid State Systems

by Hermann Schulz-Baldes e Tom Stoiber

158,34€ + 10% CARD

 This book contains a self-consistent treatment of Besov spaces for W*-dynamical systems, based on the Arveson spectrum and Fourier multipliers. Generalizing classical results by Peller, spaces of Besov operators are then characterized by trace class properties of the associated Hankel operators lying in the W*-crossed product algebra.
ENGLISH

Scattering Theory For Transport Phenomena

by Hassan Emamirad

148,70€ + 10% CARD

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 Chapter 3 is devoted to the transport or linearized Boltzmann equation, and in Chapter 4 the Lax and Phillips formalism is introduced in scattering theory for the transport equation.
ENGLISH

Instanton Counting, Quantum Geometry And Algebra

by Taro Kimura

162,21€ + 10% CARD

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 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 operator algebras.
ENGLISH

Pseudo-Bosons And Their Coherent States

by Fabio Bagarello

162,21€ + 10% CARD

free shipping

 This book is based on the analysis of canonical commutation relations (CCRs) and their possible deformations. These include the analysis of several non self-adjoint Hamiltonians, a novel view to the position and momentum operators, and a general approach to compute path integrals and transition probabilities using the so-called bi-coherent states.
ENGLISH

Pseudo-Bosons And Their Coherent States

by Fabio Bagarello

158,34€ + 10% CARD

 This book is based on the analysis of canonical commutation relations (CCRs) and their possible deformations. These include the analysis of several non self-adjoint Hamiltonians, a novel view to the position and momentum operators, and a general approach to compute path integrals and transition probabilities using the so-called bi-coherent states.
ENGLISH

Deep Learning And Physics

by Akinori Tanaka, Akio Tomiya e Koji Hashimoto

94,62€ + 10% CARD

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 And you can learn the concepts of deep learning through the words of physics. In fact, the foundation of machine learning can be attributed to physical concepts.
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