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Author | Title | Accn# | Year | Item Type | Claims |
| 11 |
Bru, J.-B |
Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory |
I10275 |
2017 |
eBook |
|
| 12 |
Busch, Paul |
Quantum Measurement |
I09266 |
2016 |
eBook |
|
| 13 |
Lieb, Elliott H |
Condensed Matter Physics and Exactly Soluble Models |
I11519 |
2004 |
eBook |
|
| 14 |
Lieb, E.H |
Statistical Mechanics |
I11351 |
2004 |
eBook |
|
| 15 |
Buttkus, Burkhard |
Spectral Analysis and Filter Theory in Applied Geophysics |
I11158 |
2000 |
eBook |
|
| 16 |
Hamhalter, J |
Quantum Measure Theory |
I10731 |
2003 |
eBook |
|
| 17 |
Pavsic, M |
The Landscape of Theoretical Physics: A Global View |
I10575 |
2002 |
eBook |
|
| 18 |
Gupta, Ved Prakash |
The Functional Analysis of Quantum Information Theory |
I08428 |
2015 |
eBook |
|
| 19 |
Alabiso, Carlo |
A Primer on Hilbert Space Theory |
I08208 |
2015 |
eBook |
|
| 20 |
Esposito, Chiara |
Formality Theory |
I07996 |
2015 |
eBook |
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11.
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| Title | Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory |
| Author(s) | Bru, J.-B;de Siqueira Pedra, W |
| Publication | Cham, Springer International Publishing, 2017. |
| Description | VII, 109 p : online resource |
| Abstract Note | 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 (non-autonomous) C*-dynamical systems for which the usual conditions found in standard theories of (parabolic or hyperbolic) non-autonomous evolution equations are not given. In mathematical physics, bounds on multi-commutators of an order higher than two can be used to study linear and non-linear 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 Lieb-Robinson 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
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I10275 |
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On Shelf |
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12.
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| Title | Quantum Measurement |
| Author(s) | Busch, Paul;Lahti, Pekka;Pellonp????, Juha-Pekka;Ylinen, Kari |
| Publication | Cham, 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 non-classical 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 in-depth studies of the fundamental observables of quantum mechanics and some of their measurement implementations; and 4. Foundations discusses a selection of foundational topics (quantum-classical 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
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I09266 |
|
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On Shelf |
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13.
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| 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, 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 well-defined 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
|
| Item Type | eBook |
Multi-Media Links
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Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I11519 |
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On Shelf |
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14.
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| Title | Statistical Mechanics : Selecta of Elliott H. Lieb |
| Author(s) | Lieb, E.H;Nachtergaele, Bruno;Solovej, Jan Philip;Yngvason, Jakob |
| Publication | Berlin, Heidelberg, 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
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I11351 |
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On Shelf |
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15.
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| Title | Spectral Analysis and Filter Theory in Applied Geophysics |
| Author(s) | Buttkus, Burkhard |
| Publication | Berlin, Heidelberg, 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, maximum-entropy spectral analysis and maximum-like?? 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 state-of-the-art 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 time-series 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
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I11158 |
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On Shelf |
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17.
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| 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, 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
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I10575 |
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On Shelf |
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18.
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| 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, Springer International Publishing, 2015. |
| Description | XI, 139 p : online resource |
| Abstract Note | This book provides readers with a concise introduction to current studies on operator-algebras 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 zero-error 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 matrix-valued 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
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I08428 |
|
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On Shelf |
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19.
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| Title | A Primer on Hilbert Space Theory : Linear Spaces, Topological Spaces, Metric Spaces, Normed Spaces, and Topological Groups |
| Author(s) | Alabiso, Carlo;Weiss, Ittay |
| Publication | Cham, Springer International Publishing, 2015. |
| Description | XVII, 255 p. 5 illus : online resource |
| Abstract Note | This book is an introduction to the theory of Hilbert space, a fundamental tool for non-relativistic quantum mechanics. Linear, topological, metric, and normed spaces are all addressed in detail, in a rigorous but reader-friendly fashion. The rationale for an introduction to the theory of Hilbert space, rather than a detailed study of Hilbert space theory itself, resides in the very high mathematical difficulty of even the simplest physical case. Within an ordinary graduate course in physics there is insufficient time to cover the theory of Hilbert spaces and operators, as well as distribution theory, with sufficient mathematical rigor. Compromises must be found between full rigor and practical use of the instruments. The book is based on the author's lessons on functional analysis for graduate students in physics. It will equip the reader to approach Hilbert space and, subsequently, rigged Hilbert space, with a more practical attitude. With respect to the original lectures, the mathematical flavor in all subjects has been enriched. Moreover, a brief introduction to topological groups has been added in addition to exercises and solved problems throughout the text. With these improvements, the book can be used in upper undergraduate and lower graduate courses, both in Physics and in Mathematics |
| ISBN,Price | 9783319037134 |
| Keyword(s) | 1. ALGEBRAIC TOPOLOGY
2. EBOOK
3. EBOOK - SPRINGER
4. FUNCTIONAL ANALYSIS
5. Mathematical Methods in Physics
6. PHYSICS
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I08208 |
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On Shelf |
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