Dual jet geometrization for time-dependent Hamiltonians and applications / Mircea Neagu, Alexandru Oana.
"This book studies a category of mathematical objects called Hamiltonians, which are dependent on both time and momenta. The authors address the development of the distinguished geometrization on dual 1-jet spaces for time-dependent Hamiltonians, in contrast with the time-independent variant on...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Ebook |
| Language: | English |
| Published: |
Cham :
Springer,
[2022]
|
| Series: | Synthesis lectures on mathematics & statistics (Springer (Firm)).
|
| Subjects: | |
| Online Access: | Springer Nature Synthesis Collection of Technology (R0) eBook Collection 2022 |
| Summary: | "This book studies a category of mathematical objects called Hamiltonians, which are dependent on both time and momenta. The authors address the development of the distinguished geometrization on dual 1-jet spaces for time-dependent Hamiltonians, in contrast with the time-independent variant on cotangent bundles. Two parts are presented to include both geometrical theory and the applicative models: Part One: Time-dependent Hamilton Geometry and Part Two: Applications to Dynamical Systems, Economy and Theoretical Physics. The authors present 1-jet spaces and their duals as appropriate fundamental ambient mathematical spaces used to model classical and quantum field theories. In addition, the authors present dual jet Hamilton geometry as a distinct metrical approach to various interdisciplinary problems."--Publisher's website. |
|---|---|
| Physical Description: | 1 online resource (xii, 87 pages) : illustrations. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 3031088840 3031088859 9783031088841 9783031088858 |
| ISSN: | 1938-1751 |