Dual Jet Geometrization for Time-Dependent Hamiltonians and Applications

von Mircea Neagu, Alexandru Oană

87 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Synthesis Lectures on Mathematics & Statistics
• ISBN: 9783031088872
• Sprache: Englisch
• Erscheinungsdatum: 02.09.2023
• Genre: Mathematik/Geometrie
• Verlag: Springer International Publishing