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Geometric Quantization and Applications to Fields and Fluids
This open access book explains geometric quantization from a physicist’s perspective. After presenting the general formalism, it delves into several examples reflecting current research interests in high-energy physics and condensed matter physics. Applications explore Chern-Simons theory, theta vacuum, the Hall effect, fluid dynamics, and elements of noncommutative geometry. The content i…
- Edition
- -
- ISBN/ISSN
- 978-3-031-65801-3
- Collation
- X, 129
- Series Title
- SpringerBriefs in Physics (SpringerBriefs in Physics)
- Call Number
- 530 NAI g
Quantization on Nilpotent Lie Groups
Topological Groups, Lie Groups; Abstract Harmonic Analysis; Functional Analysis; Mathematical Physics
- Edition
- 1
- ISBN/ISSN
- 9783319295589
- Collation
- -
- Series Title
- -
- Call Number
- -
Noncommutative Geometry and Particle Physics
This book provides an introduction to noncommutative geometry and presents a number of its recent applications to particle physics. In the first part, we introduce the main concepts and techniques by studying finite noncommutative spaces, providing a “light” approach to noncommutative geometry. We then proceed with the general framework by defining and analyzing noncommutative spin manifold…
- Edition
- 1
- ISBN/ISSN
- 9783031591204
- Collation
- XIII, 315
- Series Title
- -
- Call Number
- -
Spectral Theory and Applications of Linear Operators and Block Operator Matrices
Examining recent mathematical developments in the study of Fredholm operators, spectral theory and block operator matrices, with a rigorous treatment of classical Riesz theory of polynomially-compact operators, this volume covers both abstract and applied developments in the study of spectral theory. These topics are intimately related to the stability of underlying physical systems and play a …
- Edition
- -
- ISBN/ISSN
- 978-3-319-17566-9
- Collation
- -
- Series Title
- -
- Call Number
- -
Branes and DAHA Representations
In recent years, there has been an increased interest in exploring the connections between various disciplines of mathematics and theoretical physics such as representation theory, algebraic geometry, quantum field theory, and string theory. One of the challenges of modern mathematical physics is to understand rigorously the idea of quantization. The program of quantization by branes, which com…
- Edition
- -
- ISBN/ISSN
- 978-3-031-28153-2
- Collation
- VI, 143
- Series Title
- -
- Call Number
- -
Enrico Fermi the Obedient Genius
This biography explores the life and career of the Italian physicist Enrico Fermi, which is also the story of thirty years that transformed physics and forever changed our understanding of matter and the universe: nuclear physics and elementary particle physics were born, nuclear fission was discovered, the Manhattan Project was developed, the atomic bombs were dropped, and the era of “big sc…
- Edition
- -
- ISBN/ISSN
- 978-1-4939-3533-8
- Collation
- 51 b/w illustrations, 3 illustrations in colour
- Series Title
- -
- Call Number
- -
Astronomy and Calendars – The Other Chinese Mathematics: 104 BC - AD 1644
Presented from the viewpoint of the history of mathematics, this book explores both epistemological aspects of Chinese traditional mathematical astronomy and lunisolar calendrical calculations. The following issues are addressed: (1) connections with non-Chinese cultural areas; (2) the possibility or impossibility of using mathematics to predict astronomical phenomena, a question that was const…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-662-49718-0
- Collation
- XXXV, 471
- Series Title
- Lecture Notes in Chemistry
- Call Number
- 530.1 MAR a
The rapid evaluation of potential fields in particle systems
"Leslie Greengard received his doctorate from Yale University where he is a NSF Postdoctoral Fellow in the Computer Science Department. The Rapid Evaluation of Potential Fields in Particle Systems is a 1987 ACM Distinguished Dissertation.""The Rapid Evaluation of Potential Fields in Particle Systems presents a group of algorithms for the computation of the potential and force fields in large-sc…
- Edition
- -
- ISBN/ISSN
- 9780262256254
- Collation
- 1 online resource (iv, 90 pages) :illustrations.
- Series Title
- -
- Call Number
- -
Waves and Compressible Flow
Now in its second edition, this book continues to give readers a broad mathematical basis for modelling and understanding the wide range of wave phenomena encountered in modern applications. New and expanded material includes topics such as elastoplastic waves and waves in plasmas, as well as new exercises. Comprehensive collections of models are used to illustrate the underpinning mathematic…
- Edition
- -
- ISBN/ISSN
- 978-1-4939-3381-5
- Collation
- -
- Series Title
- -
- Call Number
- -
Virtual Turning Points
The discovery of a virtual turning point truly is a breakthrough in WKB analysis of higher order differential equations. This monograph expounds the core part of its theory together with its application to the analysis of higher order Painlevé equations of the Noumi–Yamada type and to the analysis of non-adiabatic transition probability problems in three levels. As M.V. Fedoryuk once lame…
- Edition
- -
- ISBN/ISSN
- 978-4-431-55702-9
- Collation
- -
- Series Title
- -
- Call Number
- -
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