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Author | Title | Accn# | Year | Item Type | Claims |
| 1 |
Mehta, Umang |
Postmodern Fermi Liquids |
I13199 |
2024 |
eBook |
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| 2 |
Govindarajan, T. R |
Geometry and Topology of Low Dimensional Systems |
I13148 |
2024 |
eBook |
|
| 3 |
Dhurandhar, Sanjeev |
Understanding Mathematical Concepts in Physics |
I13100 |
2024 |
eBook |
|
| 4 |
Wang, Jielong |
Multiscale Multibody Dynamics |
I12683 |
2023 |
eBook |
|
| 5 |
Fuchs, J??rgen |
String-Net Construction of RCFT Correlators |
I12264 |
2022 |
Book |
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1.
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| Title | Postmodern Fermi Liquids |
| Author(s) | Mehta, Umang |
| Publication | Cham, 1. Imprint: Springer
2. Springer Nature Switzerland, 2024. |
| Description | XV, 102 p. 9 illus., 8 illus. in color : online resource |
| Abstract Note | This thesis develops a new approach to Fermi liquids based on the mathematical formalism of coadjoint orbits, allowing Landau???s Fermi liquid theory to be recast in a simple and elegant way as a field theory. The theory of Fermi liquids is a cornerstone of condensed matter physics with many applications, but efforts to cast Landau???s Fermi liquid theory in the modern language of effective field theory suffer from technical and conceptual difficulties: the Fermi surface seems to defy a simple effective field theory description. This thesis reviews the recently-developed formalism for Fermi liquids that exploits an underlying structure described by the group of canonical transformations of a single particle phase space. This infinite-dimensional group governs the space of states of zero temperature Fermi liquids and allows one to write down a nonlinear, bosonized action that reproduces Landau???s kinetic theory in the classical limit. The thesis then describes how that Fermi liquid theory can essentially be thought of as a non-trivial representation of the Lie group of canonical transformations, bringing it within the fold of effective theories in many-body physics whose structure is determined by symmetries. After analyzing the benefits and limitations of this geometric formalism, pathways to extensions of the formalism to include superconducting and magnetic phases, as well as applications to the problem of non-Fermi liquids, are discussed. The thesis begins with a pedagogical review of Fermi liquid theory and concludes with a discussion on possible future directions for Fermi surface physics, and more broadly, the usefulness of diffeomorphism groups in condensed matter physics |
| ISBN,Price | 9783031724039 |
| Keyword(s) | 1. EBOOK
2. EBOOK - SPRINGER
3. Elementary particles (Physics)
4. Elementary Particles, Quantum Field Theory
5. LIE GROUPS
6. LOW TEMPERATURE PHYSICS
7. LOW TEMPERATURES
8. MATHEMATICAL PHYSICS
9. QUANTUM ELECTRODYNAMICS
10. Quantum Electrodynamics, Relativistic and Many-body Calculations
11. QUANTUM FIELD THEORY
12. Quantum Fluids and Solids
13. QUANTUM STATISTICS
14. TOPOLOGICAL GROUPS
15. Topological Groups and Lie Groups
|
| Item Type | eBook |
Multi-Media Links
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Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I13199 |
|
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On Shelf |
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2.
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| Title | Geometry and Topology of Low Dimensional Systems : Chern-Simons Theory with Applications |
| Author(s) | Govindarajan, T. R;Ramadevi, Pichai |
| Publication | Cham, 1. Imprint: Springer
2. Springer International Publishing, 2024. |
| Description | XIV, 167 p. 48 illus., 9 illus. in color : online resource |
| Abstract Note | This book introduces the field of topology, a branch of mathematics that explores the properties of geometric space, with a focus on low-dimensional systems. The authors discuss applications in various areas of physics. The first chapters of the book cover the formal aspects of topology, including classes, homotopic groups, metric spaces, and Riemannian and pseudo-Riemannian geometry. These topics are essential for understanding the theoretical concepts and notations used in the next chapters of the book. The applications encompass defects in crystalline structures, space topology, spin statistics, Braid group, Chern-Simons field theory, and 3D gravity, among others. This self-contained book provides all the necessary additional material for both physics and mathematics students. The presentation is enriched with examples and exercises, making it accessible for readers to grasp the concepts with ease. The authors adopt a pedagogical approach, posing many unsolved questions in simple situations that can serve as challenging projects for students. Suitable for a one-semester postgraduate level course, this text is ideal for teaching purposes |
| ISBN,Price | 9783031595011 |
| Keyword(s) | 1. ASSOCIATIVE ALGEBRAS
2. Associative rings
3. Associative Rings and Algebras
4. EBOOK
5. EBOOK - SPRINGER
6. Elementary particles (Physics)
7. Elementary Particles, Quantum Field Theory
8. LIE GROUPS
9. MATHEMATICAL PHYSICS
10. QUANTUM FIELD THEORY
11. TOPOLOGICAL GROUPS
12. Topological Groups and Lie Groups
13. TOPOLOGY
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I13148 |
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On Shelf |
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3.
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| Title | Understanding Mathematical Concepts in Physics : Insights from Geometrical and Numerical Approaches |
| Author(s) | Dhurandhar, Sanjeev |
| Publication | Cham, 1. Imprint: Springer
2. Springer Nature Switzerland, 2024. |
| Description | XVI, 351 p. 57 illus., 42 illus. in color : online resource |
| Abstract Note | Modern mathematics has become an essential part of today???s physicist???s arsenal and this book covers several relevant such topics. The primary aim of this book is to present key mathematical concepts in an intuitive way with the help of geometrical and numerical methods - understanding is the key. Not all differential equations can be solved with standard techniques. Examples illustrate how geometrical insights and numerical methods are useful in understanding differential equations in general but are indispensable when extracting relevant information from equations that do not yield to standard methods. Adopting a numerical approach to complex analysis it is shown that Cauchy???s theorem, the Cauchy integral formula, the residue theorem, etc. can be verified by performing hands-on computations with Python codes. Figures elucidate the concept of poles and essential singularities. Further the book covers topology, Hilbert spaces, Fourier transforms (discussing how fast Fourier transform works), modern differential geometry, Lie groups and Lie algebras, probability and useful probability distributions, and statistical detection of signals. Novel features include: (i) Topology is introduced via the notion of continuity on the real line which then naturally leads to topological spaces. (ii) Data analysis in a differential geometric framework and a general description of ??2 discriminators in terms of vector bundles. This book is targeted at physics graduate students and at theoretical (and possibly experimental) physicists. Apart from research students, this book is also useful to active physicists in their research and teaching |
| ISBN,Price | 9783031603945 |
| Keyword(s) | 1. ANALYSIS
2. DIFFERENTIAL EQUATIONS
3. EBOOK
4. EBOOK - SPRINGER
5. FOURIER ANALYSIS
6. LIE GROUPS
7. MATHEMATICAL ANALYSIS
8. MATHEMATICAL PHYSICS
9. Theoretical, Mathematical and Computational Physics
10. TOPOLOGICAL GROUPS
11. Topological Groups and Lie Groups
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I13100 |
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On Shelf |
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4.
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| Title | Multiscale Multibody Dynamics : Motion Formalism Implementation |
| Author(s) | Wang, Jielong |
| Publication | Singapore, 1. Imprint: Springer
2. Springer Nature Singapore, 2023. |
| Description | XVI, 359 p. 80 illus., 79 illus. in color : online resource |
| Abstract Note | This book presents a novel theory of multibody dynamics with distinct features, including unified continuum theory, multiscale modeling technology of multibody system, and motion formalism implementation. All these features together with the introductions of fundamental concepts of vector, dual vector, tensor, dual tensor, recursive descriptions of joints, and the higher-order implicit solvers formulate the scope of the book???s content. In this book, a multibody system is defined as a set consisted of flexible and rigid bodies which are connected by any kinds of joints or constraints to achieve the desired motion. Generally, the motion of multibody system includes the translation and rotation; it is more efficient to describe the motion by using the dual vector or dual tensor directly instead of defining two types of variables, the translation and rotation separately. Furthermore, this book addresses the detail of motion formalism and its finite element implementation of the solid, shell-like, and beam-like structures. It also introduces the fundamental concepts of mechanics, such as the definition of vector, dual vector, tensor, and dual tensor, briefly. Without following the Einstein summation convention, the first- and second-order tensor operations in this book are depicted by linear algebraic operation symbols of row array, column array, and two-dimensional matrix, making these operations easier to understand. In addition, for the integral of governing equations of motion, a set of ordinary differential equations for the finite element-based discrete system, the book discussed the implementation of implicit solvers in detail and introduced the well-developed RADAU IIA algorithms based on post-error estimation to make the contents of the book complete. The intended readers of this book are senior engineers and graduate students in related engineering fields |
| ISBN,Price | 9789811984419 |
| Keyword(s) | 1. EBOOK - SPRINGER
2. LIE GROUPS
3. Mechanics, Applied
4. Multibody systems
5. Multibody Systems and Mechanical Vibrations
6. Solid Mechanics
7. SOLIDS
8. TOPOLOGICAL GROUPS
9. Topological Groups and Lie Groups
10. VIBRATION
|
| Item Type | eBook |
Multi-Media Links
media link description
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12683 |
|
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On Shelf |
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5.
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| Title | String-Net Construction of RCFT Correlators |
| Author(s) | Fuchs, J??rgen;Schweigert, Christoph;Yang, Yang |
| Publication | Cham, 1. Imprint: Springer
2. Springer International Publishing, 2022. |
| Description | X, 123 p. 122 illus : online resource |
| Abstract Note | This book studies using string-net models to accomplish a direct, purely two-dimensional, approach to correlators of two-dimensional rational conformal field theories. The authors obtain concise geometric expressions for the objects describing bulk and boundary fields in terms of idempotents in the cylinder category of the underlying modular fusion category, comprising more general classes of fields than is standard in the literature. Combining these idempotents with Frobenius graphs on the world sheet yields string nets that form a consistent system of correlators, i.e. a system of invariants under appropriate mapping class groups that are compatible with factorization. The authors extract operator products of field objects from specific correlators; the resulting operator products are natural algebraic expressions that make sense beyond semisimplicity. They also derive an Eckmann-Hilton relation internal to a braided category, thereby demonstrating the utility of string nets for understanding algebra in braided tensor categories. Finally, they introduce the notion of a universal correlator. This systematizes the treatment of situations in which different world sheets have the same correlator and allows for the definition of a more comprehensive mapping class group |
| ISBN,Price | 9783031146824 |
| Keyword(s) | 1. EBOOK
2. EBOOK - SPRINGER
3. Elementary particles (Physics)
4. Elementary Particles, Quantum Field Theory
5. LIE GROUPS
6. MATHEMATICAL PHYSICS
7. QUANTUM FIELD THEORY
8. TOPOLOGICAL GROUPS
9. Topological Groups and Lie Groups
|
| Item Type | Book |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12264 |
|
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On Shelf |
|
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