Dual Jet Geometrization for Time-Dependent Hamiltonians and Applications
Produktnummer:
188520ddfd539448dd84f92376aee7a483
Autor: | Neagu, Mircea Oana, Alexandru |
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Themengebiete: | Adapted Bases Canonical Nonlinear Connection Cartan Canonical Linear Connection Dual 1-jet Space Einstein-like Equations Maxwell-like equations Momentum Time-dependent Hamiltonian d-curvatures d-torsions |
Veröffentlichungsdatum: | 01.09.2022 |
EAN: | 9783031088841 |
Sprache: | Englisch |
Seitenzahl: | 87 |
Produktart: | Gebunden |
Verlag: | Springer International Publishing |
Produktinformationen "Dual Jet Geometrization for Time-Dependent Hamiltonians and Applications"
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.

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