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...
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| Main Authors: | , |
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| Format: | Ebook |
| Language: | English |
| Published: |
Cham :
Springer,
[2022]
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| Series: | Synthesis lectures on mathematics & statistics (Springer (Firm)).
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| Subjects: | |
| Online Access: | Springer Nature Synthesis Collection of Technology (R0) eBook Collection 2022 |
Table of Contents:
- Time-Dependent Hamilton Geometry:
- The Dual 1-Jet Space <span class="mathjax-tex">\(E^{*}=J^{1*}(\mathbb {R},M)\)</span>
- N-Linear Connections
- h-Normal N-Linear Connections
- Distinguished Geometrization of the Time-Dependent Hamiltonians of Momenta
- Applications to Dynamical Systems, Economy and Theoretical Physics:
- The Time-Dependent Hamiltonian of the Least Squares Variational Method
- Time-Dependent Hamiltonian of Electrodynamics
- The Geometry of Conformal Hamiltonian of the Time-Dependent Coupled Harmonic Oscillators
- On the Dual Jet Conformal Minkowski Hamiltonian.