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Author | Title | Accn# | Year | Item Type | Claims |
| 1 |
Jany??ka, Josef |
An Introduction to Covariant Quantum Mechanics |
I12533 |
2022 |
Book |
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| 2 |
Ludu, Andrei |
Nonlinear Waves and Solitons on Contours and Closed Surfaces |
I12309 |
2022 |
Book |
|
| 3 |
Liu, Chaoqun |
Liutex and Third Generation of Vortex Definition and Identification |
I11661 |
2021 |
eBook |
|
| 4 |
Kimura, Taro |
Instanton Counting, Quantum Geometry and Algebra |
I11645 |
2021 |
eBook |
|
| 5 |
I.M. Singer |
Lecture notes on elementary topology and geometry |
001514 |
1987 |
Book |
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1.
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| Title | An Introduction to Covariant Quantum Mechanics |
| Author(s) | Jany??ka, Josef;Modugno, Marco |
| Publication | Cham, 1. Imprint: Springer
2. Springer International Publishing, 2022. |
| Description | XVIII, 838 p. 10 illus : online resource |
| Abstract Note | This book deals with an original contribution to the hypothetical missing link unifying the two fundamental branches of physics born in the twentieth century, General Relativity and Quantum Mechanics. Namely, the book is devoted to a review of a "covariant approach" to Quantum Mechanics, along with several improvements and new results with respect to the previous related literature. The first part of the book deals with a covariant formulation of Galilean Classical Mechanics, which stands as a suitable background for covariant Quantum Mechanics. The second part deals with an introduction to covariant Quantum Mechanics. Further, in order to show how the presented covariant approach works in the framework of standard Classical Mechanics and standard Quantum Mechanics, the third part provides a detailed analysis of the standard Galilean space-time, along with three dynamical classical and quantum examples. The appendix accounts for several non-standard mathematical methods widely used in the body of the book |
| ISBN,Price | 9783030895891 |
| Keyword(s) | 1. CLASSICAL MECHANICS
2. DIFFERENTIAL GEOMETRY
3. EBOOK
4. EBOOK - SPRINGER
5. GEOMETRY, DIFFERENTIAL
6. MECHANICS
7. QUANTUM PHYSICS
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| Item Type | Book |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12533 |
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On Shelf |
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2.
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| Title | Nonlinear Waves and Solitons on Contours and Closed Surfaces |
| Author(s) | Ludu, Andrei |
| Publication | Cham, 1. Imprint: Springer
2. Springer International Publishing, 2022. |
| Description | XXXII, 566 p. 171 illus., 68 illus. in color : online resource |
| Abstract Note | This new edition has been thoroughly revised, expanded and contain some updates function of the novel results and shift of scientific interest in the topics. The book has a Foreword by Jerry L. Bona and Hongqiu Chen. The book is an introduction to nonlinear waves and soliton theory in the special environment of compact spaces such a closed curves and surfaces and other domain contours. It assumes familiarity with basic soliton theory and nonlinear dynamical systems. The first part of the book introduces the mathematical concept required for treating the manifolds considered, providing relevant notions from topology and differential geometry. An introduction to the theory of motion of curves and surfaces - as part of the emerging field of contour dynamics - is given. The second and third parts discuss the modeling of various physical solitons on compact systems, such as filaments, loops and drops made of almost incompressible materials thereby intersecting with a large number of physical disciplines from hydrodynamics to compact object astrophysics. This book is intended for graduate students and researchers in mathematics, physics and engineering |
| ISBN,Price | 9783031146411 |
| Keyword(s) | 1. Classical and Continuum Physics
2. DIFFERENTIAL GEOMETRY
3. EBOOK
4. EBOOK - SPRINGER
5. GEOMETRY, DIFFERENTIAL
6. Mathematical Methods in Physics
7. MATHEMATICAL PHYSICS
8. PHYSICS
9. Soft and Granular Matter
10. Soft condensed matter
11. Surface and Interface and Thin Film
12. Surfaces (Physics)
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| Item Type | Book |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12309 |
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On Shelf |
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3.
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| Title | Liutex and Third Generation of Vortex Definition and Identification : An Invited Workshop from Chaos 2020 |
| Author(s) | Liu, Chaoqun;Wang, Yiqian |
| Publication | Cham, Springer International Publishing, 2021. |
| Description | XXXI, 468 p. 343 illus., 320 illus. in color : online resource |
| Abstract Note | This book collects papers presented in the Invited Workshop, ???Liutex and Third Generation of Vortex Definition and Identification for Turbulence,??? from CHAOS2020, June 9-12, 2020, which was held online as a virtual conference. Liutex is a new physical quantity introduced by Prof. Chaoqun Liu of the University of Texas at Arlington. It is a vector and could give a unique and accurate mathematical definition for fluid rotation or vortex. The papers in this volume include some Liutex theories and many applications in hydrodynamics, aerodynamics and thermal dynamics including turbine machinery. As vortex exists everywhere in the universe, a mathematical definition of vortex or Liutex will play a critical role in scientific research. There is almost no place without vortex in fluid dynamics. As a projection, the Liutex theory will play an important role on the investigations of the vortex dynamics in hydrodynamics, aerodynamics, thermodynamics, oceanography, meteorology, metallurgy, civil engineering, astronomy, biology, etc. and to the researches of the generation, sustenance, modelling and controlling of turbulence |
| ISBN,Price | 9783030702175 |
| Keyword(s) | 1. Aerospace engineering
2. Aerospace Technology and Astronautics
3. ASTRONAUTICS
4. DIFFERENTIAL GEOMETRY
5. EBOOK
6. EBOOK - SPRINGER
7. Engineering Fluid Dynamics
8. FLUID MECHANICS
9. FLUIDS
10. GEOMETRY, DIFFERENTIAL
11. PLASMA TURBULENCE
12. Soft condensed matter
13. Turbulence in plasmas
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I11661 |
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On Shelf |
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4.
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| Title | Instanton Counting, Quantum Geometry and Algebra |
| Author(s) | Kimura, Taro |
| Publication | Cham, Springer International Publishing, 2021. |
| Description | XXIII, 285 p. 36 illus., 13 illus. in color : online resource |
| Abstract Note | This book pedagogically describes recent developments in gauge theory, in particular four-dimensional N = 2 supersymmetric gauge theory, in relation to various fields in mathematics, including algebraic geometry, geometric representation theory, vertex operator algebras. The key concept is the instanton, which is a solution to the anti-self-dual Yang???Mills equation in four dimensions. In the first part of the book, starting with the systematic description of the instanton, how to integrate out the instanton moduli space is explained together with the equivariant localization formula. It is then illustrated that this formalism is generalized to various situations, including quiver and fractional quiver gauge theory, supergroup gauge theory. The second part of the book is devoted to the algebraic geometric description of supersymmetric gauge theory, known as the Seiberg???Witten theory, together with string/M-theory point of view. Based on its relation to integrable systems, how to quantize such a geometric structure via the ??-deformation of gauge theory is addressed. The third part of the book focuses on the quantum algebraic structure of supersymmetric gauge theory. After introducing the free field realization of gauge theory, the underlying infinite dimensional algebraic structure is discussed with emphasis on the connection with representation theory of quiver, which leads to the notion of quiver W-algebra. It is then clarified that such a gauge theory construction of the algebra naturally gives rise to further affinization and elliptic deformation of W-algebra |
| ISBN,Price | 9783030761905 |
| Keyword(s) | 1. ALGEBRAIC GEOMETRY
2. DIFFERENTIAL GEOMETRY
3. EBOOK
4. EBOOK - SPRINGER
5. Elementary particles (Physics)
6. Elementary Particles, Quantum Field Theory
7. GEOMETRY, DIFFERENTIAL
8. MATHEMATICAL PHYSICS
9. QUANTUM FIELD THEORY
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| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I11645 |
|
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On Shelf |
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