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Author  Title  Accn#  Year  Item Type  Claims 
1 
De Nittis, Giuseppe 
Linear Response Theory 
I10402 
2017 
eBook 

2 
Prodan, Emil 
A Computational Noncommutative Geometry Program for Disordered Topological Insulators 
I10352 
2017 
eBook 

3 
Bru, J.B 
LiebRobinson Bounds for MultiCommutators and Applications to Response Theory 
I10275 
2017 
eBook 

4 
Busch, Paul 
Quantum Measurement 
I09266 
2016 
eBook 

5 
Lieb, Elliott H 
Condensed Matter Physics and Exactly Soluble Models 
I11519 
2004 
eBook 

6 
Lieb, E.H 
Statistical Mechanics 
I11351 
2004 
eBook 

7 
Buttkus, Burkhard 
Spectral Analysis and Filter Theory in Applied Geophysics 
I11158 
2000 
eBook 

8 
Hamhalter, J 
Quantum Measure Theory 
I10731 
2003 
eBook 

9 
Pavsic, M 
The Landscape of Theoretical Physics: A Global View 
I10575 
2002 
eBook 

10 
Gupta, Ved Prakash 
The Functional Analysis of Quantum Information Theory 
I08428 
2015 
eBook 


1.


Title  Linear Response Theory : An AnalyticAlgebraic Approach 
Author(s)  De Nittis, Giuseppe;Lein, Max 
Publication  Cham, 1. Imprint: Springer
2. Springer International Publishing, 2017. 
Description  X, 138 p : online resource 
Abstract Note  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 LRT for a wide array of systems. The proposed formalism in fact applies to periodic and random systems in the discrete and the continuum. After a short introduction describing the structure of the book, its aim and motivation, the basic elements of the theory are presented in chapter 2. The mathematical framework of the theory is outlined in chapters 3???5: the relevant von Neumann algebras, noncommutative $L^p$ and Sobolev spaces are introduced; their construction is then made explicit for common physical systems; the notion of isopectral perturbations and the associated dynamics are studied. Chapter 6 is dedicated to the main results, proofs of the Kubo and KuboStreda formulas. The book closes with a chapter about possible future developments and applications of the theory to periodic light conductors. The book addresses a wide audience of mathematical physicists, focusing on the conceptual aspects rather than technical details and making algebraic methods accessible to analysts 
ISBN,Price  9783319567327 
Keyword(s)  1. CONDENSED MATTER
2. CONDENSED MATTER PHYSICS
3. EBOOK
4. EBOOK  SPRINGER
5. FUNCTIONAL ANALYSIS
6. Mathematical Methods in Physics
7. MATHEMATICAL PHYSICS
8. PHYSICS

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I10402 


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2.


Title  A Computational Noncommutative Geometry Program for Disordered Topological Insulators 
Author(s)  Prodan, Emil 
Publication  Cham, 1. Imprint: Springer
2. Springer International Publishing, 2017. 
Description  X, 118 p. 19 illus. in color : online resource 
Abstract Note  This work presents a computational program based on the principles of noncommutative 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 condensed matter systems. Recently, this approach has been successfully applied to topological insulators, where it facilitated many rigorous results concerning the stability of the topological invariants against disorder. In the first part of the book the notion of a homogeneous material is introduced and the class of disordered crystals defined together with the classification table, which conjectures all topological phases from this class. The manuscript continues with a discussion of electrons??? dynamics in disordered crystals and the theory of topological invariants in the presence of strong disorder is briefly reviewed. It is shown how all this can be captured in the language of noncommutative geometry using the concept of noncommutative Brillouin torus, and a list of known formulas for various physical response functions is presented. In the second part, auxiliary algebras are introduced and a canonical finitevolume approximation of the noncommutative Brillouin torus is developed. Explicit numerical algorithms for computing generic correlation functions are discussed. In the third part upper bounds on the numerical errors are derived and it is proved that the canonicalfinite volume approximation converges extremely fast to the thermodynamic limit. Convergence tests and various applications concludes the presentation. The book is intended for graduate students and researchers in numerical and mathematical physics 
ISBN,Price  9783319550237 
Keyword(s)  1. CONDENSED MATTER
2. CONDENSED MATTER PHYSICS
3. EBOOK
4. EBOOK  SPRINGER
5. FUNCTIONAL ANALYSIS
6. KTHEORY
7. Mathematical Methods in Physics
8. MATHEMATICAL PHYSICS
9. PHYSICS

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Call#  Status  Issued To  Return Due On  Physical Location 
I10352 


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3.


Title  LiebRobinson Bounds for MultiCommutators and Applications to Response Theory 
Author(s)  Bru, J.B;de Siqueira Pedra, W 
Publication  Cham, 1. Imprint: Springer
2. Springer International Publishing, 2017. 
Description  VII, 109 p : online resource 
Abstract Note  LiebRobinson bounds for multicommutators are effective mathematical tools to handle analytic aspects of infinite volume dynamics of nonrelativistic quantum particles with shortrange, possibly timedependent interactions. In particular, the existence of fundamental solutions is shown for those (nonautonomous) C*dynamical systems for which the usual conditions found in standard theories of (parabolic or hyperbolic) nonautonomous evolution equations are not given. In mathematical physics, bounds on multicommutators of an order higher than two can be used to study linear and nonlinear responses of interacting particles to external perturbations. These bounds are derived for lattice fermions, in view of applications to microscopic quantum theory of electrical conduction discussed in this book. All results also apply to quantum spin systems, with obvious modifications. In order to make the results accessible to a wide audience, in particular to students in mathematics with little Physics background, basics of Quantum Mechanics are presented, keeping in mind its algebraic formulation. The C*algebraic setting for lattice fermions, as well as the celebrated LiebRobinson bounds for commutators, are explained in detail, for completeness 
ISBN,Price  9783319457840 
Keyword(s)  1. CONDENSED MATTER
2. CONDENSED MATTER PHYSICS
3. EBOOK
4. EBOOK  SPRINGER
5. FUNCTIONAL ANALYSIS
6. Mathematical Methods in Physics
7. MATHEMATICAL PHYSICS
8. PHYSICS
9. QUANTUM COMPUTERS
10. Quantum Information Technology, Spintronics
11. SPINTRONICS

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Call#  Status  Issued To  Return Due On  Physical Location 
I10275 


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4.


Title  Quantum Measurement 
Author(s)  Busch, Paul;Lahti, Pekka;Pellonp????, JuhaPekka;Ylinen, Kari 
Publication  Cham, 1. Imprint: Springer
2. Springer International Publishing, 2016. 
Description  XII, 542 p. 7 illus., 2 illus. in color : online resource 
Abstract Note  This is a book about the Hilbert space formulation of quantum mechanics and its measurement theory. It contains a synopsis of what became of the Mathematical Foundations of Quantum Mechanics since von Neumann???s classic treatise with this title. Fundamental nonclassical features of quantum mechanics???indeterminacy and incompatibility of observables, unavoidable measurement disturbance, entanglement, nonlocality???are explicated and analysed using the tools of operational quantum theory. The book is divided into four parts: 1. Mathematics provides a systematic exposition of the Hilbert space and operator theoretic tools and relevant measure and integration theory leading to the Naimark and Stinespring dilation theorems; 2. Elements develops the basic concepts of quantum mechanics and measurement theory with a focus on the notion of approximate joint measurability; 3. Realisations offers indepth studies of the fundamental observables of quantum mechanics and some of their measurement implementations; and 4. Foundations discusses a selection of foundational topics (quantumclassical contrast, Bell nonlocality, measurement limitations, measurement problem, operational axioms) from a measurement theoretic perspective. The book is addressed to physicists, mathematicians and philosophers of physics with an interest in the mathematical and conceptual foundations of quantum physics, specifically from the perspective of measurement theory 
ISBN,Price  9783319433899 
Keyword(s)  1. EBOOK
2. EBOOK  SPRINGER
3. FUNCTIONAL ANALYSIS
4. History and Philosophical Foundations of Physics
5. MATHEMATICAL PHYSICS
6. PHYSICS
7. QUANTUM COMPUTERS
8. Quantum Information Technology, Spintronics
9. QUANTUM PHYSICS
10. SPINTRONICS

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Call#  Status  Issued To  Return Due On  Physical Location 
I09266 


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5.


Title  Condensed Matter Physics and Exactly Soluble Models : Selecta of Elliott H. Lieb 
Author(s)  Lieb, Elliott H;Nachtergaele, Bruno;Solovej, Jan Philip;Yngvason, Jakob 
Publication  Berlin, Heidelberg, 1. Imprint: Springer
2. Springer Berlin Heidelberg, 2004. 
Description  IX, 675 p : online resource 
Abstract Note  The first part of this book contains E. Lieb's fundamental contributions to the mathematical theory of Condensed Matter Physics. Often considered the founding father of the field, E. Lieb demonstrates his ability to select the most important issues and to formulate them as welldefined mathematical problems and, finally, to solve them. The second part presents Lieb's work on integrable models. His groundbreaking articles helped to establish Exactly Soluble Models as a flourishing research field in its own right. The papers collected in this volume have also been carefully annotated by the editors 
ISBN,Price  9783662063903 
Keyword(s)  1. Atomic, Molecular, Optical and Plasma Physics
2. ATOMS
3. Condensed materials
4. CONDENSED MATTER
5. CONDENSED MATTER PHYSICS
6. EBOOK
7. EBOOK  SPRINGER
8. FUNCTIONAL ANALYSIS
9. Mathematical Methods in Physics
10. Phase transformations (Statistical physics)
11. PHYSICS
12. Quantum Gases and Condensates

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Call#  Status  Issued To  Return Due On  Physical Location 
I11519 


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6.


Title  Statistical Mechanics : Selecta of Elliott H. Lieb 
Author(s)  Lieb, E.H;Nachtergaele, Bruno;Solovej, Jan Philip;Yngvason, Jakob 
Publication  Berlin, Heidelberg, 1. Imprint: Springer
2. Springer Berlin Heidelberg, 2004. 
Description  X, 508 p : online resource 
Abstract Note  In Statistical Physics one of the ambitious goals is to derive rigorously, from statistical mechanics, the thermodynamic properties of models with realistic forces. Elliott Lieb is a mathematical physicist who meets the challenge of statistical mechanics head on, taking nothing for granted and not being content until the purported consequences have been shown, by rigorous analysis, to follow from the premises. The present volume contains a selection of his contributions to the field, in particular papers dealing with general properties of Coulomb systems, phase transitions in systems with a continuous symmetry, lattice crystals, and entropy inequalities. It also includes work on classical thermodynamics, a discipline that, despite many claims to the contrary, is logically independent of statistical mechanics and deserves a rigorous and unambiguous foundation of its own. The articles in this volume have been carefully annotated by the editors 
ISBN,Price  9783662100189 
Keyword(s)  1. COMPLEX SYSTEMS
2. CONDENSED MATTER
3. CONDENSED MATTER PHYSICS
4. DYNAMICAL SYSTEMS
5. EBOOK
6. EBOOK  SPRINGER
7. FUNCTIONAL ANALYSIS
8. Mathematical Methods in Physics
9. PHYSICS
10. STATISTICAL PHYSICS
11. Statistical Physics and Dynamical Systems
12. THERMODYNAMICS

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Call#  Status  Issued To  Return Due On  Physical Location 
I11351 


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7.


Title  Spectral Analysis and Filter Theory in Applied Geophysics 
Author(s)  Buttkus, Burkhard 
Publication  Berlin, Heidelberg, 1. Imprint: Springer
2. Springer Berlin Heidelberg, 2000. 
Description  XV, 667 p : online resource 
Abstract Note  This book is intended to be an introduction to the fundamentals and methods of spectral analysis and filter theory and their appli?? cations in geophysics. The principles and theoretical basis of the various methods are described, their efficiency and effectiveness eval?? uated, and instructions provided for their practical application. Be?? sides the conventional methods, newer methods arediscussed, such as the spectral analysis ofrandom processes by fitting models to the ob?? served data, maximumentropy spectral analysis and maximumlike?? lihood spectral analysis, the Wiener and Kalman filtering methods, homomorphic deconvolution, and adaptive methods for nonstation?? ary processes. Multidimensional spectral analysis and filtering, as well as multichannel filters, are given extensive treatment. The book provides a survey of the stateoftheart of spectral analysis and fil?? ter theory. The importance and possibilities ofspectral analysis and filter theory in geophysics for data acquisition, processing and eval?? uation are illustrated with practical examples from various fields of applied geophysics. Although this book was planned primarily as a textbook for a course on the analysis of geophysical time?? series, it may also be of interest to scientists and engineers who process other digital data. It provides a comprehensive discussion of the theoretical fundamen?? tals and a compilation of the extensive literature on the subject. I hope that I have succeeded in presenting the various principles and methods of timeseries analysis comprehensively and without error. Comments on errors or suggestions for improvements are welcome 
ISBN,Price  9783642570162 
Keyword(s)  1. Astronomy, Observations and Techniques
2. Astronomy???Observations
3. ASTROPHYSICS
4. Astrophysics and Astroparticles
5. EBOOK
6. EBOOK  SPRINGER
7. FUNCTIONAL ANALYSIS
8. GEOLOGY
9. GEOPHYSICS
10. Geophysics and Environmental Physics
11. Geophysics/Geodesy
12. Observations, Astronomical

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Call#  Status  Issued To  Return Due On  Physical Location 
I11158 


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9.


Title  The Landscape of Theoretical Physics: A Global View : From Point Particles to the Brane World and Beyond in Search of a Unifying Principle 
Author(s)  Pavsic, M 
Publication  Dordrecht, 1. Imprint: Springer
2. Springer Netherlands, 2002. 
Description  XXII, 374 p : online resource 
Abstract Note  Today many important directions of research are being pursued more or less independently of each other. These are, for instance, strings and mem branes, induced gravity, embedding of spacetime into a higher dimensional space, the brane world scenario, the quantum theory in curved spaces, Fock Schwinger proper time formalism, parametrized relativistic quantum the ory, quantum gravity, wormholes and the problem of ???time machines???, spin and supersymmetry, geometric calculus based on Clifford algebra, various interpretations of quantum mechanics including the Everett interpretation, and the recent important approach known as ???decoherence???. A big problem, as I see it, is that various people thoroughly investigate their narrow field without being aware of certain very close relations to other fields of research. What we need now is not only to see the trees but also the forest. In the present book I intend to do just that: to carry out a first approximation to a synthesis of the related fundamental theories of physics. I sincerely hope that such a book will be useful to physicists. From a certain viewpoint the book could be considered as a course in the oretical physics in which the foundations of all those relevant fundamental theories and concepts are attempted to be thoroughly reviewed. Unsolved problems and paradoxes are pointed out. I show that most of those ap proaches have a common basis in the theory of unconstrained membranes. The very interesting and important concept of membrane space, the tensor calculus in and functional transformations in are discussed 
ISBN,Price  9780306471360 
Keyword(s)  1. Associative rings
2. Associative Rings and Algebras
3. EBOOK
4. EBOOK  SPRINGER
5. Elementary particles (Physics)
6. Elementary Particles, Quantum Field Theory
7. FUNCTIONAL ANALYSIS
8. MATHEMATICAL PHYSICS
9. QUANTUM FIELD THEORY
10. QUANTUM PHYSICS
11. Rings (Algebra)
12. Theoretical, Mathematical and Computational Physics

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I10575 


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10.
 
Title  The Functional Analysis of Quantum Information Theory : A Collection of Notes Based on Lectures by Gilles Pisier, K. R. Parthasarathy, Vern Paulsen and Andreas Winter 
Author(s)  Gupta, Ved Prakash;Mandayam, Prabha;Sunder, V.S 
Publication  Cham, 1. Imprint: Springer
2. Springer International Publishing, 2015. 
Description  XI, 139 p : online resource 
Abstract Note  This book provides readers with a concise introduction to current studies on operatoralgebras and their generalizations, operator spaces and operator systems, with a special focus on their application in quantum information science. This basic framework for the mathematical formulation of quantum information can be traced back to the mathematical work of John von Neumann, one of the pioneers of operator algebras, which forms the underpinning of most current mathematical treatments of the quantum theory, besides being one of the most dynamic areas of twentieth century functional analysis. Today, von Neumann???s foresight finds expression in the rapidly growing field of quantum information theory. These notes gather the content of lectures given by a very distinguished group of mathematicians and quantum information theorists, held at the IMSc in Chennai some years ago, and great care has been taken to present the material as a primer on the subject matter. Starting from the basic definitions of operator spaces and operator systems, this text proceeds to discuss several important theorems including Stinespring???s dilation theorem for completely positive maps and Kirchberg???s theorem on tensor products of C*algebras. It also takes a closer look at the abstract characterization of operator systems and, motivated by the requirements of different tensor products in quantum information theory, the theory of tensor products in operator systems is discussed in detail. On the quantum information side, the book offers a rigorous treatment of quantifying entanglement in bipartite quantum systems, and moves on to review four different areas in which ideas from the theory of operator systems and operator algebras play a natural role: the issue of zeroerror communication over quantum channels, the strong subadditivity property of quantum entropy, the different norms on quantum states and the corresponding induced norms on quantum channels, and, lastly, the applications of matrixvalued random variables in the quantum information setting 
ISBN,Price  9783319167183 
Keyword(s)  1. EBOOK
2. EBOOK  SPRINGER
3. FUNCTIONAL ANALYSIS
4. Mathematical Methods in Physics
5. MATHEMATICAL PHYSICS
6. PHYSICS
7. QUANTUM COMPUTERS
8. Quantum computing
9. QUANTUM PHYSICS

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Call#  Status  Issued To  Return Due On  Physical Location 
I08428 


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