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Author | Title | Accn# | Year | Item Type | Claims |
| 1 |
Kobayashi, Tatsuo |
An Introduction to Non-Abelian Discrete Symmetries for Particle Physicists |
I12508 |
2022 |
Book |
|
| 2 |
Schulz-Baldes, Hermann |
Harmonic Analysis in Operator Algebras and its Applications to Index Theory and Topological Solid State Systems |
I12255 |
2022 |
Book |
|
| 3 |
Stacey, Blake C |
A First Course in the Sporadic SICs |
I11815 |
2021 |
eBook |
|
| 4 |
Hayashi, Masahito |
A Group Theoretic Approach to Quantum Information |
I10174 |
2017 |
eBook |
|
| 5 |
Hayashi, Masahito |
Group Representation for Quantum Theory |
I10118 |
2017 |
eBook |
|
| 6 |
Cicogna, Giampaolo |
Exercises and Problems in Mathematical Methods of Physics |
I09803 |
2018 |
eBook |
|
| 7 |
Konno, Hitoshi |
Elliptic Quantum Groups |
I09584 |
2020 |
eBook |
|
| 8 |
Kota, V. K. B |
SU(3) Symmetry in Atomic Nuclei |
I08915 |
2020 |
eBook |
|
| 9 |
Cicogna, Giampaolo |
Exercises and Problems in Mathematical Methods of Physics |
I08828 |
2020 |
eBook |
|
| 10 |
Coecke, Bob |
Current Research in Operational Quantum Logic |
I11348 |
2000 |
eBook |
|
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1.
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| Title | An Introduction to Non-Abelian Discrete Symmetries for Particle Physicists |
| Author(s) | Kobayashi, Tatsuo;Ohki, Hiroshi;Okada, Hiroshi;Shimizu, Yusuke;Tanimoto, Morimitsu |
| Publication | Berlin, Heidelberg, 1. Imprint: Springer
2. Springer Berlin Heidelberg, 2022. |
| Description | XII, 353 p. 31 illus., 3 illus. in color : online resource |
| Abstract Note | This lecture note provides a tutorial review of non-Abelian discrete groups and presents applications to particle physics where discrete symmetries constitute an important principle for model building. While Abelian discrete symmetries are often imposed in order to control couplings for particle physics???particularly model building beyond the standard model???non-Abelian discrete symmetries have been applied particularly to understand the three-generation flavor structure. The non-Abelian discrete symmetries are indeed considered to be the most attractive choice for a flavor sector: Model builders have tried to derive experimental values of quark and lepton masses, mixing angles and CP phases on the assumption of non-Abelian discrete flavor symmetries of quarks and leptons, yet lepton mixing has already been intensively discussed in this context as well. Possible origins of the non-Abelian discrete symmetry for flavors are another topic of interest, as they can arise from an underlying theory, e.g., the string theory or compactification via orbifolding as geometrical symmetries such as modular symmetries, thereby providing a possible bridge between the underlying theory and corresponding low-energy sector of particle physics. The book offers explicit introduction to the group theoretical aspects of many concrete groups, and readers learn how to derive conjugacy classes, characters, representations, tensor products, and automorphisms for these groups (with a finite number) when algebraic relations are given, thereby enabling readers to apply this to other groups of interest. Further, CP symmetry and modular symmetry are also presented |
| ISBN,Price | 9783662646793 |
| Keyword(s) | 1. EBOOK
2. EBOOK - SPRINGER
3. Elementary particles (Physics)
4. Elementary Particles, Quantum Field Theory
5. GROUP THEORY
6. Group Theory and Generalizations
7. Mathematical Methods in Physics
8. MATHEMATICAL PHYSICS
9. QUANTUM FIELD THEORY
|
| Item Type | Book |
Multi-Media Links
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Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12508 |
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On Shelf |
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2.
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| Title | Harmonic Analysis in Operator Algebras and its Applications to Index Theory and Topological Solid State Systems |
| Author(s) | Schulz-Baldes, 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 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. These criteria allow to extend index theorems to such operator classes. This in turn is of great relevance for applications in solid-state physics, in particular, Anderson localized topological insulators as well as topological semimetals. The book also contains a self-contained chapter on duality theory for R-actions. It allows to prove a bulk-boundary correspondence for boundaries with irrational angles which implies the existence of flat bands of edge states in graphene-like 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. K-THEORY
|
| Item Type | Book |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12255 |
|
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On Shelf |
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3.
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| 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
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I11815 |
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On Shelf |
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4.
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| Title | A Group Theoretic Approach to Quantum Information |
| Author(s) | Hayashi, Masahito |
| Publication | Cham, Springer International Publishing, 2017. |
| Description | XIII, 228 p. 32 illus : online resource |
| Abstract Note | This textbook is the first one addressing quantum information from the viewpoint of group symmetry. Quantum systems have a group symmetrical structure. This structure enables to handle systematically quantum information processing. However, there is no other textbook focusing on group symmetry for quantum information although there exist many textbooks for group representation. After the mathematical preparation of quantum information, this book discusses quantum entanglement and its quantification by using group symmetry. Group symmetry drastically simplifies the calculation of several entanglement measures although their calculations are usually very difficult to handle. This book treats optimal information processes including quantum state estimation, quantum state cloning, estimation of group action and quantum channel etc. Usually it is very difficult to derive the optimal quantum information processes without asymptotic setting of these topics. However, group symmetry allows to derive these optimal solutions without assuming the asymptotic setting. Next, this book addresses the quantum error correcting code with the symmetric structure of Weyl-Heisenberg groups. This structure leads to understand the quantum error correcting code systematically. Finally, this book focuses on the quantum universal information protocols by using the group SU(d). This topic can be regarded as a quantum version of the Csiszar-Korner's universal coding theory with the type method. The required mathematical knowledge about group representation is summarized in the companion book, Group Representation for Quantum Theory |
| ISBN,Price | 9783319452418 |
| Keyword(s) | 1. EBOOK
2. EBOOK - SPRINGER
3. GROUP THEORY
4. Group Theory and Generalizations
5. QUANTUM COMPUTERS
6. Quantum computing
7. Quantum Information Technology, Spintronics
8. QUANTUM PHYSICS
9. Security Science and Technology
10. SPINTRONICS
11. System safety
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I10174 |
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On Shelf |
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5.
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| Title | Group Representation for Quantum Theory |
| Author(s) | Hayashi, Masahito |
| Publication | Cham, Springer International Publishing, 2017. |
| Description | XXVIII, 338 p. 54 illus., 1 illus. in color : online resource |
| Abstract Note | This book explains the group representation theory for quantum theory in the language of quantum theory. As is well known, group representation theory is very strong tool for quantum theory, in particular, angular momentum, hydrogen-type Hamiltonian, spin-orbit interaction, quark model, quantum optics, and quantum information processing including quantum error correction. To describe a big picture of application of representation theory to quantum theory, the book needs to contain the following six topics, permutation group, SU(2) and SU(d), Heisenberg representation, squeezing operation, Discrete Heisenberg representation, and the relation with Fourier transform from a unified viewpoint by including projective representation. Unfortunately, although there are so many good mathematical books for a part of six topics, no book contains all of these topics because they are too segmentalized. Further, some of them are written in an abstract way in mathematical style and, often, the materials are too segmented. At least, the notation is not familiar to people working with quantum theory. Others are good elementary books, but do not deal with topics related to quantum theory. In particular, such elementary books do not cover projective representation, which is more important in quantum theory. On the other hand, there are several books for physicists. However, these books are too simple and lack the detailed discussion. Hence, they are not useful for advanced study even in physics. To resolve this issue, this book starts with the basic mathematics for quantum theory. Then, it introduces the basics of group representation and discusses the case of the finite groups, the symmetric group, e.g. Next, this book discusses Lie group and Lie algebra. This part starts with the basics knowledge, and proceeds to the special groups, e.g., SU(2), SU(1,1), and SU(d). After the special groups, it explains concrete applications to physical systems, e.g., angular momentum, hydrogen-type Hamiltonian, spin-orbit interaction, and quark model. Then, it proceeds to the general theory for Lie group and Lie algebra. Using this knowledge, this book explains the Bosonic system, which has the symmetries of Heisenberg group and the squeezing symmetry by SL(2,R) and Sp(2n,R). Finally, as the discrete version, this book treats the discrete Heisenberg representation which is related to quantum error correction. To enhance readers' undersnding, this book contains 54 figures, 23 tables, and 111 exercises with solutions |
| ISBN,Price | 9783319449067 |
| Keyword(s) | 1. EBOOK
2. EBOOK - SPRINGER
3. GROUP THEORY
4. Group Theory and Generalizations
5. MATHEMATICAL PHYSICS
6. QUANTUM COMPUTERS
7. Quantum computing
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 |
| I10118 |
|
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On Shelf |
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6.
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| Title | Exercises and Problems in Mathematical Methods of Physics |
| Author(s) | Cicogna, Giampaolo |
| Publication | Cham, Springer International Publishing, 2018. |
| Description | X, 182 p. 8 illus : online resource |
| Abstract Note | This book presents exercises and problems in the mathematical methods of physics with the aim of offering undergraduate students an alternative way to explore and fully understand the mathematical notions on which modern physics is based. The exercises and problems are proposed not in a random order but rather in a sequence that maximizes their educational value. Each section and subsection starts with exercises based on first definitions, followed by groups of problems devoted to intermediate and, subsequently, more elaborate situations. Some of the problems are unavoidably "routine", but others bring to the forenontrivial properties that are often omitted or barely mentioned in textbooks. There are also problems where the reader is guided to obtain important results that are usually stated in textbooks without complete proofs. In all, some 350 solved problems covering all mathematical notions useful to physics are included. While the book is intended primarily for undergraduate students of physics, students of mathematics, chemistry, and engineering, as well as their teachers, will also find it of value. |
| ISBN,Price | 9783319761657 |
| Keyword(s) | 1. EBOOK
2. EBOOK - SPRINGER
3. FOURIER ANALYSIS
4. Functions of a Complex Variable
5. FUNCTIONS OF COMPLEX VARIABLES
6. GROUP THEORY
7. Group Theory and Generalizations
8. INTEGRAL TRANSFORMS
9. Integral Transforms, Operational Calculus
10. Mathematical Methods in Physics
11. Operational calculus
12. OPERATOR THEORY
13. PHYSICS
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I09803 |
|
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On Shelf |
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7.
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| 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 Yang-Baxter 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 infinite-dimensional 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 q-KZ equations and their elliptic hypergeometric integral solutions. In particular, the so-called 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 Alday-Gaiotto-Tachikawa correspondence between 4D SUSY gauge theories and the CFT???s, and the Nekrasov-Shatashvili 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
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I09584 |
|
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On Shelf |
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8.
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| Title | SU(3) Symmetry in Atomic Nuclei |
| Author(s) | Kota, V. K. B |
| Publication | Singapore, Springer Singapore, 2020. |
| Description | XV, 289 p. 37 illus., 4 illus. in color : online resource |
| Abstract Note | This book provides an understandable review of SU(3) representations, SU(3) Wigner???Racah algebra and the SU(3) ??? SO(3) integrity basis operators, which are often considered to be difficult and are avoided by most nuclear physicists. Explaining group algebras that apply to specific physical systems and discussing their physical applications, the book is a useful resource for researchers in nuclear physics. At the same time it helps experimentalists to interpret data on rotational nuclei by using SU(3) symmetry that appears in a variety of nuclear models, such as the shell model, pseudo-SU(3) model, proxy-SU(3) model, symplectic Sp(6, R) model, various interacting boson models, various interacting boson???fermion models, and cluster models. In addition to presenting the results from all these models, the book also describes a variety of statistical results that follow from the SU(3) symmetry |
| ISBN,Price | 9789811536038 |
| Keyword(s) | 1. EBOOK
2. EBOOK - SPRINGER
3. GROUP THEORY
4. Group Theory and Generalizations
5. MATHEMATICAL PHYSICS
6. NUCLEAR PHYSICS
7. Particle and Nuclear Physics
8. SOLID STATE PHYSICS
|
| Item Type | eBook |
Multi-Media Links
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Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I08915 |
|
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On Shelf |
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9.
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| Title | Exercises and Problems in Mathematical Methods of Physics |
| Author(s) | Cicogna, Giampaolo |
| Publication | Cham, Springer International Publishing, 2020. |
| Description | XII, 218 p. 9 illus : online resource |
| Abstract Note | This book is the second edition, whose original mission was to offer a new approach for students wishing to better understand the mathematical tenets that underlie the study of physics. This mission is retained in this book. The structure of the book is one that keeps pedagogical principles in mind at every level. Not only are the chapters sequenced in such a way as to guide the reader down a clear path that stretches throughout the book, but all individual sections and subsections are also laid out so that the material they address becomes progressively more complex along with the reader's ability to comprehend it. This book not only improves upon the first in many details, but it also fills in some gaps that were left open by this and other books on similar topics. The 350 problems presented here are accompanied by answers which now include a greater amount of detail and additional guidance for arriving at the solutions. In this way, the mathematical underpinnings of the relevant physics topics are made as easy to absorb as possible. |
| ISBN,Price | 9783030594725 |
| Keyword(s) | 1. EBOOK
2. EBOOK - SPRINGER
3. FOURIER ANALYSIS
4. Functions of a Complex Variable
5. FUNCTIONS OF COMPLEX VARIABLES
6. GROUP THEORY
7. Group Theory and Generalizations
8. INTEGRAL TRANSFORMS
9. Integral Transforms, Operational Calculus
10. Mathematical Methods in Physics
11. Operational calculus
12. OPERATOR THEORY
13. PHYSICS
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
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| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I08828 |
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On Shelf |
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10.
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| Title | Current Research in Operational Quantum Logic : Algebras, Categories, Languages |
| Author(s) | Coecke, Bob;Moore, David;Wilce, Alexander |
| Publication | Dordrecht, Springer Netherlands, 2000. |
| Description | VII, 325 p : online resource |
| Abstract Note | The present volume has its origins in a pair of informal workshops held at the Free University of Brussels, in June of 1998 and May of 1999, named "Current Research 1 in Operational Quantum Logic". These brought together mathematicians and physicists working in operational quantum logic and related areas, as well as a number of interested philosophers of science, for a rare opportunity to discuss recent developments in this field. After some discussion, it was decided that, rather than producing a volume of conference proceedings, we would try to organize the conferees to produce a set of comprehensive survey papers, which would not only report on recent developments in quantum logic, but also provide a tutorial overview of the subject suitable for an interested non-specialist audience. The resulting volume provides an overview of the concepts and methods used in current research in quantum logic, viewed both as a branch of mathemati?? cal physics and as an area of pure mathematics. The first half of the book is concerned with the algebraic side of the subject, and in particular the theory of orthomodular lattices and posets, effect algebras, etc. In the second half of the book, special attention is given to categorical methods and to connections with theoretical computer science. At the 1999 workshop, we were fortunate to hear three excellent lectures by David J. Foulis, represented here by two contributions. Dave's work, spanning 40 years, has helped to define, and continues to reshape, the field of quantum logic |
| ISBN,Price | 9789401712019 |
| Keyword(s) | 1. ALGEBRA
2. Applications of Mathematics
3. APPLIED MATHEMATICS
4. Category theory (Mathematics)
5. Category Theory, Homological Algebra
6. EBOOK
7. EBOOK - SPRINGER
8. ENGINEERING MATHEMATICS
9. GROUP THEORY
10. Group Theory and Generalizations
11. Homological algebra
12. Order, Lattices, Ordered Algebraic Structures
13. Ordered algebraic structures
14. 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 |
| I11348 |
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On Shelf |
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