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Author  Title  Accn#  Year  Item Type  Claims 
1 
Carfora, Mauro 
Quantum Triangulations 
I09664 
2017 
eBook 

2 
Platania, Alessia Benedetta 
Asymptotically Safe Gravity 
I08869 
2018 
eBook 

3 
Marmo, G 
Classical and Quantum Physics 
I08690 
2019 
eBook 

4 
Blanchard, Philipp 
Random Walks and Diffusions on Graphs and Databases 
I07722 
2011 
eBook 

5 
B??r, Christian 
Quantum Field Theory on Curved Spacetimes 
I07207 
2009 
eBook 

6 
Ocampo, Hernan 
Geometric and Topological Methods for Quantum Field Theory 
I07121 
2005 
eBook 

7 
Carfora, Mauro 
Quantum Triangulations 
I06607 
2012 
eBook 

8 
Frauendiener, J??rg 
Analytical and Numerical Approaches to Mathematical Relativity 
I06140 
2006 
eBook 

9 
Borchers, Hans J??rgen 
Mathematical Implications of EinsteinWeyl Causality 
I05419 
2006 
eBook 

10 
Breitenlohner, Peter 
Renormalization of Quantum Field Theories with Nonlinear Field Transformations 
I05096 
1988 
eBook 


1.


Title  Quantum Triangulations : Moduli Space, Quantum Computing, NonLinear Sigma Models and Ricci Flow 
Author(s)  Carfora, Mauro;Marzuoli, Annalisa 
Publication  Cham, 1. Imprint: Springer
2. Springer International Publishing, 2017. 
Description  XX, 392 p. 113 illus., 92 illus. in color : online resource 
Abstract Note  This book discusses key conceptual aspects and explores the connection between triangulated manifolds and quantum physics, using a set of case studies ranging from moduli space theory to quantum computing to provide an accessible introduction to this topic. Research on polyhedral manifolds often reveals unexpected connections between very distinct aspects of mathematics and physics. In particular, triangulated manifolds play an important role in settings such as Riemann moduli space theory, strings and quantum gravity, topological quantum field theory, condensed matter physics, critical phenomena and complex systems. Not only do they provide a natural discrete analogue to the smooth manifolds on which physical theories are typically formulated, but their appearance is also often a consequence of an underlying structure that naturally calls into play nontrivial aspects of representation theory, complex analysis and topology in a way that makes the basic geometric structures of the physical interactions involved clear. This second edition further emphasizes the essential role that triangulations play in modern mathematical physics, with a new and highly detailed chapter on the geometry of the dilatonic nonlinear sigma model and its subtle and manyfaceted connection with Ricci flow theory. This connection is treated in depth, pinpointing both the mathematical and physical aspects of the perturbative embedding of the Ricci flow in the renormalization group flow of nonlinear sigma models. The geometry of the dilaton field is discussed from a novel standpoint by using polyhedral manifolds and Riemannian metric measure spaces, emphasizing their role in connecting nonlinear sigma models??? effective action to Perelman???s energyfunctional. No other published account of this matter is so detailed and informative. This new edition also features an expanded appendix on Riemannian geometry, and a rich set of new illustrations to help the reader grasp the more difficult points of the theory. The book offers a valuable guide for all mathematicians and theoretical physicists working in the field of quantum geometry and its ??applications 
ISBN,Price  9783319679372 
Keyword(s)  1. Classical and Quantum Gravitation, Relativity Theory
2. COMPLEX MANIFOLDS
3. EBOOK
4. EBOOK  SPRINGER
5. GRAVITATION
6. Manifolds (Mathematics)
7. Manifolds and Cell Complexes (incl. Diff.Topology)
8. Mathematical Applications in the Physical Sciences
9. MATHEMATICAL PHYSICS
10. Numerical and Computational Physics, Simulation
11. PHYSICS
12. QUANTUM PHYSICS

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2.


Title  Asymptotically Safe Gravity : From Spacetime Foliation to Cosmology 
Author(s)  Platania, Alessia Benedetta 
Publication  Cham, 1. Imprint: Springer
2. Springer International Publishing, 2018. 
Description  XV, 142 p. 87 illus., 13 illus. in color : online resource 
Abstract Note  This book seeks to construct a consistent fundamental quantum theory of gravity, which is often considered one of the most challenging open problems in presentday physics. It approaches this challenge using modern functional renormalization group techniques, and attempts to realize the idea of ???Asymptotic Safety??? originally proposed by S. Weinberg. Quite remarkably, the book makes significant progress regarding both the fundamental aspects of the program and its phenomenological consequences. The conceptual developments pioneer the construction of a wellbehaved functional renormalization group equation adapted to spacetimes with a preferred timedirection. It is demonstrated that the Asymptotic Safety mechanism persists in this setting and extends to many phenomenologically interesting gravitymatter systems. These achievements constitute groundbreaking steps towards bridging the gap between quantum gravity in Euclidean and Lorentzian spacetimes. The phenomenological applications cover core topics in quantum gravity, e.g. constructing a phenomenologically viable cosmological evolution based on quantum gravity effects in the very early universe, and analyzing quantum corrections to black holes forming from a spherical collapse. As a key feature, all developments are presented in a comprehensive and accessible way. This makes the work a timely and valuable guide into the rapidly evolving field of Asymptotic Safety 
ISBN,Price  9783319987941 
Keyword(s)  1. Classical and Quantum Gravitation, Relativity Theory
2. COMPLEX MANIFOLDS
3. COSMOLOGY
4. EBOOK
5. EBOOK  SPRINGER
6. GRAVITATION
7. Manifolds (Mathematics)
8. Manifolds and Cell Complexes (incl. Diff.Topology)

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Call#  Status  Issued To  Return Due On  Physical Location 
I08869 


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3.


Title  Classical and Quantum Physics : 60 Years Alberto Ibort Fest Geometry, Dynamics, and Control 
Author(s)  Marmo, G;Mart??n de Diego, David;Mu??oz Lecanda, Miguel 
Publication  Cham, 1. Imprint: Springer
2. Springer International Publishing, 2019. 
Description  XXVI, 374 p. 46 illus., 14 illus. in color : online resource 
Abstract Note  This proceedings is based on the interdisciplinary workshop held in Madrid, 59 March 2018, dedicated to Alberto Ibort on his 60th birthday. Alberto has great and significantly contributed to many fields of mathematics and physics, always with highly original and innovative ideas. Most of Albertos???s scientific activity has been motivated by geometric ideas, concepts and tools that are deeply related to the framework of classical dynamics and quantum mechanics. Let us mention some of the fields of expertise of Alberto Ibort: Geometric Mechanics; Constrained Systems; Variational Principles; Multisymplectic structures for field theories; Super manifolds; Inverse problem for Bosonic and Fermionic systems; Quantum Groups, Integrable systems, BRST Symmetries; Implicit differential equations; YangMills Theories; BiHamiltonian Systems; Topology Change and Quantum Boundary Conditions; Classical and Quantum Control; Orthogonal Polynomials; Quantum Field Theory and Noncommutative Spaces; Classical and Quantum Tomography; Quantum Mechanics on phase space; WignerWeyl formalism; LieJordan Algebras, Classical and Quantum; QuantumtoClassical transition; Contraction of Associative Algebras; contact geometry, among many others. In each contribution, one may find not only technical novelties but also completely new way of looking at the considered problems. Even an experienced reader, reading Alberto's contributions on his field of expertise, will find new perspectives on the considered topic. His enthusiasm is happily contagious, for this reason he has had, and still has, very bright students wishing to elaborate their PhD thesis under his guidance.What is more impressive, is the broad list of rather different topics on which he has contributed 
ISBN,Price  9783030247485 
Keyword(s)  1. Associative rings
2. Associative Rings and Algebras
3. CALCULUS OF VARIATIONS
4. Calculus of Variations and Optimal Control; Optimization
5. COMPLEX MANIFOLDS
6. DIFFERENTIAL GEOMETRY
7. EBOOK
8. EBOOK  SPRINGER
9. Manifolds (Mathematics)
10. Manifolds and Cell Complexes (incl. Diff.Topology)
11. MATHEMATICAL PHYSICS
12. Rings (Algebra)
13. Theoretical, Mathematical and Computational Physics

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I08690 


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4.


Title  Random Walks and Diffusions on Graphs and Databases : An Introduction 
Author(s)  Blanchard, Philipp;Volchenkov, Dimitri 
Publication  Berlin, Heidelberg, 1. Imprint: Springer
2. Springer Berlin Heidelberg, 2011. 
Description  XIV, 262 p : online resource 
Abstract Note  Most networks and databases that humans have to deal with contain large, albeit finite number of units. Their structure, for maintaining functional consistency of the components, is essentially not random and calls for a precise quantitative description of relations between nodes (or data units) and all network components. This book is an introduction, for both graduate students and newcomers to the field, to the theory of graphs and random walks on such graphs. The methods based on random walks and diffusions for exploring the structure of finite connected graphs and databases are reviewed (Markov chain analysis). This provides the necessary basis for consistently discussing a number of applications such diverse as electric resistance networks, estimation of land prices, urban planning, linguistic databases, music, and gene expression regulatory networks 
ISBN,Price  9783642195921 
Keyword(s)  1. Applications of Graph Theory and Complex Networks
2. COMPLEX MANIFOLDS
3. COMPLEXITY
4. COMPUTATIONAL COMPLEXITY
5. Data structures (Computer science)
6. Data Structures and Information Theory
7. EBOOK
8. EBOOK  SPRINGER
9. Manifolds (Mathematics)
10. Manifolds and Cell Complexes (incl. Diff.Topology)
11. PHYSICS

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Call#  Status  Issued To  Return Due On  Physical Location 
I07722 


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5.


Title  Quantum Field Theory on Curved Spacetimes : Concepts and Mathematical Foundations 
Author(s)  B??r, Christian;Fredenhagen, Klaus 
Publication  Berlin, Heidelberg, 1. Imprint: Springer
2. Springer Berlin Heidelberg, 2009. 
Description  X, 160 p. 30 illus : online resource 
Abstract Note  After some decades of work a satisfactory theory of quantum gravity is still not available; moreover, there are indications that the original field theoretical approach may be better suited than originally expected. There, to first approximation, one is left with the problem of quantum field theory on Lorentzian manifolds. Surprisingly, this seemingly modest approach leads to far reaching conceptual and mathematical problems and to spectacular predictions, the most famous one being the Hawking radiation of black holes. Ingredients of this approach are the formulation of quantum physics in terms of C*algebras, the geometry of Lorentzian manifolds, in particular their causal structure, and linear hyperbolic differential equations where the wellposedness of the Cauchy problem plays a distinguished role, as well as more recently the insights from suitable concepts such as microlocal analysis. This primer is an outgrowth of a compact course given by the editors and contributing authors to an audience of advanced graduate students and young researchers in the field, and assumes working knowledge of differential geometry and functional analysis on the part of the reader 
ISBN,Price  9783642027802 
Keyword(s)  1. Classical and Quantum Gravitation, Relativity Theory
2. COMPLEX MANIFOLDS
3. EBOOK
4. EBOOK  SPRINGER
5. Elementary particles (Physics)
6. Elementary Particles, Quantum Field Theory
7. GRAVITATION
8. Manifolds (Mathematics)
9. Manifolds and Cell Complexes (incl. Diff.Topology)
10. Mathematical Methods in Physics
11. PHYSICS
12. QUANTUM FIELD THEORY

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Call#  Status  Issued To  Return Due On  Physical Location 
I07207 


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6.


Title  Geometric and Topological Methods for Quantum Field Theory 
Author(s)  Ocampo, Hernan;Paycha, Sylvie;Vargas, Andr??s 
Publication  Berlin, Heidelberg, 1. Imprint: Springer
2. Springer Berlin Heidelberg, 2005. 
Description  XV, 230 p : online resource 
Abstract Note  This volume offers an introduction, in the form of four extensive lectures, to some recent developments in several active topics at the interface between geometry, topology and quantum field theory. The first lecture is by Christine Lescop on knot invariants and configuration spaces, in which a universal finitetype invariant for knots is constructed as a series of integrals over configuration spaces. This is followed by the contribution of Raimar Wulkenhaar on Euclidean quantum field theory from a statistical point of view. The author also discusses possible renormalization techniques on noncommutative spaces. The third lecture is by Anamaria Font and Stefan Theisen on string compactification with unbroken supersymmetry. The authors show that this requirement leads to internal spaces of special holonomy and describe CalabiYau manifolds in detail. The last lecture, by Thierry Fack, is devoted to a Ktheory proof of the AtiyahSinger index theorem and discusses some applications of Ktheory to noncommutative geometry. These lectures notes, which are aimed in particular at graduate students in physics and mathematics, start with introductory material before presenting more advanced results. Each chapter is selfcontained and can be read independently 
ISBN,Price  9783540315223 
Keyword(s)  1. COMPLEX MANIFOLDS
2. DIFFERENTIAL GEOMETRY
3. EBOOK
4. EBOOK  SPRINGER
5. Elementary particles (Physics)
6. Elementary Particles, Quantum Field Theory
7. Manifolds (Mathematics)
8. Manifolds and Cell Complexes (incl. Diff.Topology)
9. Mathematical Methods in Physics
10. PHYSICS
11. Quantum Field Theories, String Theory
12. QUANTUM FIELD THEORY
13. STRING THEORY

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Call#  Status  Issued To  Return Due On  Physical Location 
I07121 


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7.


Title  Quantum Triangulations : Moduli Spaces, Strings, and Quantum Computing 
Author(s)  Carfora, Mauro;Marzuoli, Annalisa 
Publication  Berlin, Heidelberg, 1. Imprint: Springer
2. Springer Berlin Heidelberg, 2012. 
Description  XVII, 284 p. 90 illus., 10 illus. in color : online resource 
Abstract Note  Research on polyhedral manifolds often points to unexpected connections between very distinct aspects of Mathematics and Physics. In particular triangulated manifolds play quite a distinguished role in such settings as Riemann moduli space theory, strings and quantum gravity, topological quantum field theory, condensed matter physics, and critical phenomena. Not only do they provide a natural discrete analogue to the smooth manifolds on which physical theories are typically formulated, but their appearance is rather often a consequence of an underlying structure which naturally calls into play nontrivial aspects of representation theory, of complex analysis and topology in a way which makes manifest the basic geometric structures of the physical interactions involved. Yet, in most of the existing literature, triangulated manifolds are still merely viewed as a convenient discretization of a given physical theory to make it more amenable for numerical treatment. ?? The motivation for these lectures notes is thus to provide an approachable introduction to this topic, emphasizing the conceptual aspects, and probing, through a set of cases studies, the connection between triangulated manifolds and quantum physics to the deepest. ?? This volume addresses applied mathematicians and theoretical physicists working in the field of quantum geometry and its applications. ?? 
ISBN,Price  9783642244407 
Keyword(s)  1. Classical and Quantum Gravitation, Relativity Theory
2. COMPLEX MANIFOLDS
3. EBOOK
4. EBOOK  SPRINGER
5. GRAVITATION
6. Manifolds (Mathematics)
7. Manifolds and Cell Complexes (incl. Diff.Topology)
8. Mathematical Applications in the Physical Sciences
9. MATHEMATICAL PHYSICS
10. PHYSICS
11. Physics, general
12. QUANTUM PHYSICS

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Call#  Status  Issued To  Return Due On  Physical Location 
I06607 


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8.


Title  Analytical and Numerical Approaches to Mathematical Relativity 
Author(s)  Frauendiener, J??rg;Giulini, Domenico J. W;Perlick, Volker 
Publication  Berlin, Heidelberg, 1. Imprint: Springer
2. Springer Berlin Heidelberg, 2006. 
Description  XVII, 281 p : online resource 
Abstract Note  Today, general relativity rates among the most accurately tested fundamental theories in all of physics. However, deficiencies in our mathematical and conceptual understanding still exist, and these partly hamper further progress. For this reason alone, but no less important from the point of view that a theorybased prediction should be regarded as no better than one's own structural understanding of the underlying theory, one should undertake serious investigations into the corresponding mathematical issues. This book contains a representative collection of surveys by experts in mathematical relativity writing about the current status of, and problems in, their fields. There are four contributions for each of the following mathematical areas: differential geometry and differential topology, analytical methods and differential equations, and numerical methods. This book addresses graduate students and specialist researchers alike 
ISBN,Price  9783540334842 
Keyword(s)  1. Classical and Quantum Gravitation, Relativity Theory
2. COMPLEX MANIFOLDS
3. DIFFERENTIAL GEOMETRY
4. EBOOK
5. EBOOK  SPRINGER
6. GRAVITATION
7. Manifolds (Mathematics)
8. Manifolds and Cell Complexes (incl. Diff.Topology)
9. Mathematical Methods in Physics
10. Numerical and Computational Physics, Simulation
11. PHYSICS

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Call#  Status  Issued To  Return Due On  Physical Location 
I06140 


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9.


Title  Mathematical Implications of EinsteinWeyl Causality 
Author(s)  Borchers, Hans J??rgen;Sen, Rathindra Nath 
Publication  Berlin, Heidelberg, 1. Imprint: Springer
2. Springer Berlin Heidelberg, 2006. 
Description  XII, 190 p. 37 illus : online resource 
Abstract Note  The present work is the first systematic attempt at answering the following fundamental question: what mathematical structures does EinsteinWeyl causality impose on a pointset that has no other previous structure defined on it? The authors propose an axiomatization of EinsteinWeyl causality (inspired by physics), and investigate the topological and uniform structures that it implies. Their final result is that a causal space is densely embedded in one that is locally a differentiable manifold. The mathematical level required of the reader is that of the graduate student in mathematical physics 
ISBN,Price  9783540376811 
Keyword(s)  1. Classical and Quantum Gravitation, Relativity Theory
2. COMPLEX MANIFOLDS
3. DIFFERENTIAL GEOMETRY
4. EBOOK
5. EBOOK  SPRINGER
6. GRAVITATION
7. Manifolds (Mathematics)
8. Manifolds and Cell Complexes (incl. Diff.Topology)
9. MATHEMATICAL PHYSICS
10. Theoretical, Mathematical and Computational Physics

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Call#  Status  Issued To  Return Due On  Physical Location 
I05419 


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10.
 
Title  Renormalization of Quantum Field Theories with Nonlinear Field Transformations : Proceedings of a Workshop, Held at Ringberg Castle Tegernsee, FRG, February 16???20, 1987 
Author(s)  Breitenlohner, Peter;Maison, Dieter;Sibold, Klaus 
Publication  Berlin, Heidelberg, 1. Imprint: Springer
2. Springer Berlin Heidelberg, 1988. 
Description  VI, 242 p. 11 illus : online resource 
Abstract Note  The characteristic feature of many models for field theories based on concepts of differential geometry is their nonlinearity. In this book a systematic exposition of nonlinear transformations in quantum field theory is given. The book starts with a short account of the renormalization theory with examples which can be handled successfully in four spacetime dimensions. The second part is devoted to nonlinear sigmamodels and their constructions in two dimensions. In the final section geometrical and cohomological methods and the relations to string theory are treated. This book is an important contribution towards rigorous definitions, and the mastering of nonlinear reparametrizations in agreement with the principles of quantum field theory will help to deal with anomalies, geometry and the like consistently and thus to understand better their implications for physics. The collection of papers addresses researchers and graduate students as well and will stimulate further work on the foundations of quantum field theory 
ISBN,Price  9783540391784 
Keyword(s)  1. COMPLEX MANIFOLDS
2. EBOOK
3. EBOOK  SPRINGER
4. Elementary particles (Physics)
5. Elementary Particles, Quantum Field Theory
6. Manifolds (Mathematics)
7. Manifolds and Cell Complexes (incl. Diff.Topology)
8. QUANTUM COMPUTERS
9. QUANTUM FIELD THEORY
10. Quantum Information Technology, Spintronics
11. QUANTUM PHYSICS
12. SPINTRONICS

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Call#  Status  Issued To  Return Due On  Physical Location 
I05096 


On Shelf 



 