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Author | Title | Accn# | Year | Item Type | Claims |
| 1 |
Haake, Fritz |
Quantum Signatures of Chaos |
I09065 |
2018 |
eBook |
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| 2 |
Ku??, Marek |
Category Theory in Physics, Mathematics, and Philosophy |
I08612 |
2019 |
eBook |
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1.
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| Title | Quantum Signatures of Chaos |
| Author(s) | Haake, Fritz;Gnutzmann, Sven;Ku??, Marek |
| Publication | Cham, Springer International Publishing, 2018. |
| Description | XXVI, 659 p. 96 illus., 18 illus. in color : online resource |
| Abstract Note | This by now classic text provides an excellent introduction to and survey of the still-expanding field of quantum chaos. For this long-awaited fourth edition, the original text has been thoroughly modernized. The topics include a brief introduction to classical Hamiltonian chaos, a detailed exploration of the quantum aspects of nonlinear dynamics, quantum criteria used to distinguish regular and irregular motion, and antiunitary (generalized time reversal) and unitary symmetries. The standard Wigner-Dyson symmetry classes, as well as the non-standard ones introduced by Altland and Zirnbauer, are investigated and illustrated with numerous examples. Random matrix theory is presented in terms of both classic methods and the supersymmetric sigma model. The power of the latter method is revealed by applications outside random-matrix theory, such as to quantum localization, quantum graphs, and universal spectral fluctuations of individual chaotic dynamics. The equivalence of the sigma model and Gutzwiller???s semiclassical periodic-orbit theory is demonstrated. Last but not least, the quantum mechanics of dissipative chaotic systems are also briefly described. Each chapter is accompanied by a selection of problems that will help newcomers test and deepen their understanding, and gain a firm command of the methods presented |
| ISBN,Price | 9783319975801 |
| Keyword(s) | 1. Applications of Nonlinear Dynamics and Chaos Theory
2. EBOOK
3. EBOOK - SPRINGER
4. Mathematical Methods in Physics
5. PHYSICS
6. QUANTUM PHYSICS
7. STATISTICAL PHYSICS
8. Statistical Physics and Dynamical Systems
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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 |
| I09065 |
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On Shelf |
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2.
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| Title | Category Theory in Physics, Mathematics, and Philosophy |
| Author(s) | Ku??, Marek;Skowron, Bart??omiej |
| Publication | Cham, Springer International Publishing, 2019. |
| Description | XII, 134 p. 3 illus., 1 illus. in color : online resource |
| Abstract Note | The contributions gathered here demonstrate how categorical ontology can provide a basis for linking three important basic sciences: mathematics, physics, and philosophy. Category theory is a new formal ontology that shifts the main focus from objects to processes. The book approaches formal ontology in the original sense put forward by the philosopher Edmund Husserl, namely as a science that deals with entities that can be exemplified in all spheres and domains of reality. It is a dynamic, processual, and non-substantial ontology in which all entities can be treated as transformations, and in which objects are merely the sources and aims of these transformations. Thus, in a rather surprising way, when employed as a formal ontology, category theory can unite seemingly disparate disciplines in contemporary science and the humanities, such as physics, mathematics and philosophy, but also computer and complex systems science |
| ISBN,Price | 9783030308964 |
| Keyword(s) | 1. Category theory (Mathematics)
2. Category Theory, Homological Algebra
3. EBOOK
4. EBOOK - SPRINGER
5. Homological algebra
6. Mathematical Methods in Physics
7. MATHEMATICAL PHYSICS
8. Mathematics???Philosophy
9. PHILOSOPHY OF MATHEMATICS
10. PHYSICS
11. 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 |
| I08612 |
|
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On Shelf |
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