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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Dual Jet Geometrization for Time-Dependent Hamiltonians and Applications

Dual Jet Geometrization for Time-Dependent Hamiltonians and Applications

Neagu, Mircea
Oană, Alexandru

Paperback

Series: Synthesis Lectures on Mathematics & Statistics

General MathematicsGeometryPhysics

ISBN10: 3031088875
ISBN13: 9783031088872
Publisher: Springer Nature
Published: Sep 2 2023
Pages: 87
Weight: 0.38
Height: 0.21 Width: 6.69 Depth: 9.61
Language: English

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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