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Author  Title  Accn#  Year  Item Type  Claims 
1 
SchulzBaldes, Hermann 
Harmonic Analysis in Operator Algebras and its Applications to Index Theory and Topological Solid State Systems 
I12255 
2022 
Book 

2 
Bedford, Anthony 
Hamilton???s Principle in Continuum Mechanics 
I11933 
2021 
eBook 

3 
Stacey, Blake C 
A First Course in the Sporadic SICs 
I11815 
2021 
eBook 

4 
Timberlake, Todd Keene 
Classical Mechanics with Maxima 
I10330 
2016 
eBook 

5 
Rejzner, Kasia 
Perturbative Algebraic Quantum Field Theory 
I10180 
2016 
eBook 

6 
Levi, Decio 
Symmetries and Integrability of Difference Equations 
I10153 
2017 
eBook 

7 
Tanaka, Akinori 
Superconformal Index on RP2 ?? S1 and 3D Mirror Symmetry 
I09758 
2016 
eBook 

8 
Landi, Giovanni 
Linear Algebra and Analytic Geometry for Physical Sciences 
I09687 
2018 
eBook 

9 
Dappiaggi, Claudio 
Hadamard States from Lightlike Hypersurfaces 
I09659 
2017 
eBook 

10 
Konno, Hitoshi 
Elliptic Quantum Groups 
I09584 
2020 
eBook 


1.


Title  Harmonic Analysis in Operator Algebras and its Applications to Index Theory and Topological Solid State Systems 
Author(s)  SchulzBaldes, Hermann;Stoiber, Tom 
Publication  Cham, 1. Imprint: Springer
2. Springer International Publishing, 2022. 
Description  XXIV, 206 p. 7 illus : online resource 
Abstract Note  This book contains a selfconsistent 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. These criteria allow to extend index theorems to such operator classes. This in turn is of great relevance for applications in solidstate physics, in particular, Anderson localized topological insulators as well as topological semimetals. The book also contains a selfcontained chapter on duality theory for Ractions. It allows to prove a bulkboundary correspondence for boundaries with irrational angles which implies the existence of flat bands of edge states in graphenelike systems. This book is intended for advanced students in mathematical physics and researchers alike 
ISBN,Price  9783031122019 
Keyword(s)  1. ALGEBRA
2. CONDENSED MATTER
3. CONDENSED MATTER PHYSICS
4. EBOOK
5. EBOOK  SPRINGER
6. GROUP THEORY
7. Group Theory and Generalizations
8. KTHEORY

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Call#  Status  Issued To  Return Due On  Physical Location 
I12255 


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2.


Title  Hamilton???s Principle in Continuum Mechanics 
Author(s)  Bedford, Anthony 
Publication  Cham, Springer International Publishing, 2021. 
Description  XIV, 104 p. 16 illus : online resource 
Abstract Note  This revised, updated edition provides a comprehensive and rigorous description of the application of Hamilton???s principle to continuous media. To introduce terminology and initial concepts, it begins with what is called the first problem of the calculus of variations. For both historical and pedagogical reasons, it first discusses the application of the principle to systems of particles, including conservative and nonconservative systems and systems with constraints. The foundations of mechanics of continua are introduced in the context of inner product spaces. With this basis, the application of Hamilton???s principle to the classical theories of fluid and solid mechanics are covered. Then recent developments are described, including materials with microstructure, mixtures, and continua with singular surfaces. Presents a comprehensive, rigorous description of the application of Hamilton???s principle to continuous media; Includes recent applications of the principle to continua with microstructure, mixtures, and media with surfaces of discontinuity; Discusses foundations of continuum mechanics and variational methods therein in the context of linear vector spaces 
ISBN,Price  9783030903060 
Keyword(s)  1. ALGEBRA
2. CALCULUS OF VARIATIONS
3. Calculus of Variations and Optimization
4. Classical and Continuum Physics
5. CONTINUUM MECHANICS
6. EBOOK
7. EBOOK  SPRINGER
8. ENGINEERING MECHANICS
9. MATHEMATICAL OPTIMIZATION
10. MATHEMATICAL PHYSICS
11. Mechanics, Applied
12. PHYSICS

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Call#  Status  Issued To  Return Due On  Physical Location 
I11933 


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3.


Title  A First Course in the Sporadic SICs 
Author(s)  Stacey, Blake C 
Publication  Cham, Springer International Publishing, 2021. 
Description  VIII, 115 p. 7 illus., 2 illus. in color : online resource 
Abstract Note  This book focuses on the Symmetric Informationally Complete quantum measurements (SICs) in dimensions 2 and 3, along with one set of SICs in dimension 8. These objects stand out in ways that have earned them the moniker of "sporadic SICs". By some standards, they are more approachable than the other known SICs, while by others they are simply atypical. The author forays into quantum information theory using them as examples, and the author explores their connections with other exceptional objects like the Leech lattice and integral octonions. The sporadic SICs take readers from the classification of finite simple groups to Bell's theorem and the discovery that "hidden variables" cannot explain away quantum uncertainty. While no one department teaches every subject to which the sporadic SICs pertain, the topic is approachable without too much background knowledge. The book includes exercises suitable for an elective at the graduate or advanced undergraduate level 
ISBN,Price  9783030761042 
Keyword(s)  1. ALGEBRA
2. EBOOK
3. EBOOK  SPRINGER
4. GROUP THEORY
5. Group Theory and Generalizations
6. Order, Lattices, Ordered Algebraic Structures
7. Quantum computing
8. QUANTUM INFORMATION

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Call#  Status  Issued To  Return Due On  Physical Location 
I11815 


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4.


Title  Classical Mechanics with Maxima 
Author(s)  Timberlake, Todd Keene;Mixon, J. Wilson 
Publication  New York, NY, Springer New York, 2016. 
Description  XI, 258 p. 156 illus : online resource 
Abstract Note  This book guides undergraduate students in the use of Maxima???a computer algebra system???in solving problems in classical mechanics. It functions well as a supplement to a typical classical mechanics textbook. When it comes to problems that are too difficult to solve by hand, computer algebra systems that can perform symbolic mathematical manipulations are a valuable tool. Maxima is particularly attractive in that it is opensource, multipleplatform software that students can download and install free of charge. Lessons learned and capabilities developed using Maxima are easily transferred to other, proprietary software 
ISBN,Price  9781493932078 
Keyword(s)  1. ALGEBRA
2. CLASSICAL MECHANICS
3. Computational Mathematics and Numerical Analysis
4. Computer mathematics
5. EBOOK
6. EBOOK  SPRINGER
7. General Algebraic Systems
8. Mathematical Applications in the Physical Sciences
9. Mathematical Methods in Physics
10. MATHEMATICAL PHYSICS
11. MECHANICS
12. PHYSICS

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Call#  Status  Issued To  Return Due On  Physical Location 
I10330 


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5.


Title  Perturbative Algebraic Quantum Field Theory : An Introduction for Mathematicians 
Author(s)  Rejzner, Kasia 
Publication  Cham, Springer International Publishing, 2016. 
Description  XI, 180 p. 4 illus : online resource 
Abstract Note  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. We discuss in detail the examples of scalar fields and gauge theories and generalize them to QFT on curved spacetimes. pQFT models describe a wide range of physical phenomena and have remarkable agreement with experimental results. Despite this success, the theory suffers from many conceptual problems. pAQFT is a good candidate to solve many, if not all of these conceptual problems. Chapters 13 provide some background in mathematics and physics. Chapter 4 concerns classical theory of the scalar field, which is subsequently quantized in chapters 5 and 6. Chapter 7 covers gauge theory and chapter 8 discusses QFT on curved spacetimes and effective quantum gravity. The book aims to be accessible researchers and graduate students interested in the mathematical foundations of pQFT are the intended audience 
ISBN,Price  9783319259017 
Keyword(s)  1. ALGEBRA
2. EBOOK
3. EBOOK  SPRINGER
4. Field theory (Physics)
5. Field Theory and Polynomials
6. MATHEMATICAL PHYSICS
7. Quantum Field Theories, String Theory
8. QUANTUM FIELD THEORY
9. STRING THEORY

Item Type  eBook 
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Call#  Status  Issued To  Return Due On  Physical Location 
I10180 


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6.


Title  Symmetries and Integrability of Difference Equations : Lecture Notes of the Abecederian School of SIDE 12, Montreal 2016 
Author(s)  Levi, Decio;Rebelo, Rapha??l;Winternitz, Pavel 
Publication  Cham, Springer International Publishing, 2017. 
Description  X, 435 p. 67 illus., 26 illus. in color : online resource 
Abstract Note  This book shows how Lie group and integrability techniques, originally developed for differential equations, have been adapted to the case of difference equations. Difference equations are playing an increasingly important role in the natural sciences. Indeed, many phenomena are inherently discrete and thus naturally described by difference equations. More fundamentally, in subatomic physics, spacetime may actually be discrete. Differential equations would then just be approximations of more basic discrete ones. Moreover, when using differential equations to analyze continuous processes, it is often necessary to resort to numerical methods. This always involves a discretization of the differential equations involved, thus replacing them by difference ones. Each of the nine peerreviewed chapters in this volume serves as a selfcontained treatment of a topic, containing introductory material as well as the latest research results and exercises. Each chapter is presented by one or more early career researchers in the specific field of their expertise and, in turn, written for early career researchers. As a survey of the current state of the art, this book will serve as a valuable reference and is particularly well suited as an introduction to the field of symmetries and integrability of difference equations. Therefore, the book will be welcomed by advanced undergraduate and graduate students as well as by more advanced researchers 
ISBN,Price  9783319566665 
Keyword(s)  1. ALGEBRA
2. Difference and Functional Equations
3. DIFFERENCE EQUATIONS
4. EBOOK
5. EBOOK  SPRINGER
6. Field theory (Physics)
7. Field Theory and Polynomials
8. FUNCTIONAL EQUATIONS
9. Numerical and Computational Physics, Simulation
10. PHYSICS

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Call#  Status  Issued To  Return Due On  Physical Location 
I10153 


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7.


Title  Superconformal Index on RP2 ?? S1 and 3D Mirror Symmetry 
Author(s)  Tanaka, Akinori 
Publication  Singapore, Springer Singapore, 2016. 
Description  XII, 83 p : online resource 
Abstract Note  The author introduces the supersymmetric localization technique, a new approach for computing path integrals in quantum field theory on curved space (time) defined with interacting Lagrangian. The author focuses on a particular quantity called the superconformal index (SCI), which is defined by considering the theories on the product space of two spheres and circles, in order to clarify the validity of socalled threedimensional mirror symmetry, one of the famous duality proposals. In addition to a review of known results, the author presents a new definition of SCI by considering theories on the product space of realprojective space and circles. In this book, he explains the concept of SCI from the point of view of quantum mechanics and gives localization computations by reducing field theoretical computations to manybody quantum mechanics. He applies his new results of SCI with realprojective space to test threedimensional mirror symmetry, one of the dualities of quantum field theory. Realprojective space is known to be an unorientable surface like the Mobius strip, and there are many exotic effects resulting from Z2 holonomy of the surface. Thanks to these exotic structures, his results provide completely new evidence of threedimensional mirror symmetry. The equivalence expected from threedimensional mirror symmetry is transformed into a conjectural nontrivial mathematical identity through the new SCI, and he performs the proof of the identity using a qbinomial formula 
ISBN,Price  9789811013980 
Keyword(s)  1. ALGEBRA
2. EBOOK
3. EBOOK  SPRINGER
4. Field theory (Physics)
5. Field Theory and Polynomials
6. Mathematical Applications in the Physical Sciences
7. MATHEMATICAL PHYSICS
8. Quantum Field Theories, String Theory
9. QUANTUM FIELD THEORY
10. STRING THEORY

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Call#  Status  Issued To  Return Due On  Physical Location 
I09758 


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8.


Title  Linear Algebra and Analytic Geometry for Physical Sciences 
Author(s)  Landi, Giovanni;Zampini, Alessandro 
Publication  Cham, Springer International Publishing, 2018. 
Description  XII, 345 p : online resource 
Abstract Note  A selfcontained introduction to finite dimensional vector spaces, matrices, systems of linear equations, spectral analysis on euclidean and hermitian spaces, affine euclidean geometry, quadratic forms and conic sections. The mathematical formalism is motivated and introduced by problems from physics, notably mechanics (including celestial) and electromagnetism, with more than two hundreds examples and solved exercises. Topics include: The group of orthogonal transformations on euclidean spaces, in particular rotations, with Euler angles and angular velocity. The rigid body with its inertia matrix. The unitary group. Lie algebras and exponential map. The Dirac???s braket formalism. Spectral theory for selfadjoint endomorphisms on euclidean and hermitian spaces. The Minkowski spacetime from special relativity and the Maxwell equations. Conic sections with the use of eccentricity and Keplerian motions. An appendix collects basic algebraic notions like group, ring and field; and complex numbers and integers modulo a prime number. The book will be useful to students taking a physics or engineer degree for a basic education as well as for students who wish to be competent in the subject and who may want to pursue a postgraduate qualification 
ISBN,Price  9783319783611 
Keyword(s)  1. ALGEBRA
2. APPLIED MATHEMATICS
3. Computer science???Mathematics
4. EBOOK
5. EBOOK  SPRINGER
6. ENGINEERING MATHEMATICS
7. GEOMETRY
8. Linear and Multilinear Algebras, Matrix Theory
9. Math Applications in Computer Science
10. Mathematical and Computational Engineering
11. Mathematical Applications in the Physical Sciences
12. Mathematical Methods in Physics
13. MATHEMATICAL PHYSICS
14. MATRIX THEORY
15. PHYSICS

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Call#  Status  Issued To  Return Due On  Physical Location 
I09687 


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9.


Title  Hadamard States from Lightlike Hypersurfaces 
Author(s)  Dappiaggi, Claudio;Moretti, Valter;Pinamonti, Nicola 
Publication  Cham, Springer International Publishing, 2017. 
Description  VIII, 106 p. 2 illus : online resource 
Abstract Note  This book provides a rather selfcontained survey of the construction of Hadamard states for scalar field theories in a large class of notable spacetimes, possessing a (conformal) lightlike boundary. The first two sections focus on explaining a few introductory aspects of this topic and on providing the relevant geometric background material. The notions of asymptotically flat spacetimes and of expanding universes with a cosmological horizon are analysed in detail, devoting special attention to the characterization of asymptotic symmetries. In the central part of the book, the quantization of a real scalar field theory on such class of backgrounds is discussed within the framework of algebraic quantum field theory. Subsequently it is explained how it is possible to encode the information of the observables of the theory in a second, ancillary counterpart, which is built directly on the conformal (null) boundary. This procedure, dubbed bulktoboundary correspondence, has the net advantage of allowing the identification of a distinguished state for the theory on the boundary, which admits a counterpart in the bulk spacetime which is automatically of Hadamard form. In the last part of the book, some applications of these states are discussed, in particular the construction of the algebra of Wick polynomials. This book is aimed mainly, but not exclusively, at a readership with interest in the mathematical formulation of quantum field theory on curved backgrounds 
ISBN,Price  9783319643434 
Keyword(s)  1. ALGEBRA
2. COSMOLOGY
3. EBOOK
4. EBOOK  SPRINGER
5. Field theory (Physics)
6. Field Theory and Polynomials
7. MATHEMATICAL PHYSICS
8. Quantum Field Theories, String Theory
9. QUANTUM FIELD THEORY
10. STRING THEORY

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Call#  Status  Issued To  Return Due On  Physical Location 
I09659 


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10.
 
Title  Elliptic Quantum Groups : Representations and Related Geometry 
Author(s)  Konno, Hitoshi 
Publication  Singapore, Springer Singapore, 2020. 
Description  XIII, 131 p. 3 illus : online resource 
Abstract Note  This is the first book on elliptic quantum groups, i.e., quantum groups associated to elliptic solutions of the YangBaxter equation. Based on research by the author and his collaborators, the book presents a comprehensive survey on the subject including a brief history of formulations and applications, a detailed formulation of the elliptic quantum group in the Drinfeld realization, explicit construction of both finite and infinitedimensional representations, and a construction of the vertex operators as intertwining operators of these representations. The vertex operators are important objects in representation theory of quantum groups. In this book, they are used to derive the elliptic qKZ equations and their elliptic hypergeometric integral solutions. In particular, the socalled elliptic weight functions appear in such solutions. The author???s recent study showed that these elliptic weight functions are identified with Okounkov???s elliptic stable envelopes for certain equivariant elliptic cohomology and play an important role to construct geometric representations of elliptic quantum groups. Okounkov???s geometric approach to quantum integrable systems is a rapidly growing topic in mathematical physics related to the Bethe ansatz, the AldayGaiottoTachikawa correspondence between 4D SUSY gauge theories and the CFT???s, and the NekrasovShatashvili correspondences between quantum integrable systems and quantum cohomology. To invite the reader to such topics is one of the aims of this book 
ISBN,Price  9789811573873 
Keyword(s)  1. ALGEBRA
2. EBOOK
3. EBOOK  SPRINGER
4. GROUP THEORY
5. Group Theory and Generalizations
6. Mathematical Applications in the Physical Sciences
7. MATHEMATICAL PHYSICS
8. Order, Lattices, Ordered Algebraic Structures
9. Ordered algebraic structures

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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I09584 


On Shelf 



 