Dual jet geometrization for time-dependent Hamiltonians and applications / Mircea Neagu, Alexandru Oana.

Format:

Book

Author/Creator:

Neagu, Mircea, author.

Oana, Alexandru, author.

Series:

Synthesis Lectures on Mathematics and Statistics

Language:

English

Subjects (All):

Hamiltonian systems.

Physical Description:

1 online resource (91 pages)

Place of Publication:

Cham, Switzerland : Springer, [2022]

Summary:

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.

Notes:

Description based on print version record.

Other Format:

Print version: Neagu, Mircea Dual Jet Geometrization for Time-Dependent Hamiltonians and Applications

ISBN:

3-031-08885-9