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portada Dual Jet Geometrization for Time-Dependent Hamiltonians and Applications
Type
Physical Book
Publisher
Language
Inglés
Pages
87
Format
Hardcover
Dimensions
24.4 x 16.8 x 1.3 cm
Weight
0.34 kg.
ISBN13
9783031088841
Edition No.
1

Dual Jet Geometrization for Time-Dependent Hamiltonians and Applications

Mircea Neagu (Author) · Alexandru Oană (Author) · Springer · Hardcover

Dual Jet Geometrization for Time-Dependent Hamiltonians and Applications - Neagu, Mircea ; Oană, Alexandru

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Synopsis "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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