Dual Jet Geometrization for Time-Dependent Hamiltonians and Applications
Inbunden, Engelska, 2022
Av Mircea Neagu, Alexandru Oană, Alexandru Oana, Alexandru Oană
779 kr
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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.
Produktinformation
- Utgivningsdatum2022-09-01
- Mått168 x 240 x undefined mm
- SpråkEngelska
- SerieSynthesis Lectures on Mathematics & Statistics
- Antal sidor87
- FörlagSpringer International Publishing AG
- EAN9783031088841