Dual Jet Geometrization for Time-Dependent Hamiltonians and Applications

by Mircea Neagu and Alexandru Oan

Book Overview

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.

• Format: Paperback
• Language: English
• ISBN: 3031088875
• ISBN13: 9783031088872
• Release Date: September 2023
• Publisher: Springer
• Length: 87 Pages
• Weight: 0.38 lbs.
• Dimensions: 0.2" x 6.7" x 9.6"