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Dual Jet Geometrization for Time-Dependent Hamiltonians and Applications, Paperback / softback Book

Dual Jet Geometrization for Time-Dependent Hamiltonians and Applications Paperback / softback

Part of the Synthesis Lectures on Mathematics & Statistics series

Paperback / softback

Description

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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