Dual Jet Geometrization for Time-Dependent Hamiltonians and Applications - Couverture souple

Neagu, Mircea; Oană, Alexandru

Couverture souple

ISBN 10 : 3031088875 ISBN 13 : 9783031088872

Editeur : Springer, 2023

Synopsis

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.

A propos du livre

À propos de l'auteur

Mircea Neagu, Ph.D., is an Associate Professor in the Department of Mathematics and Computer Science at the Transylvania University of Brasov. He received his Ph.D. in mathematics from the Polytechnic University of Bucharest.

Alexandru Oană, Ph.D., is a Lecturer in the Department of Mathematics and Computer Science at the Transylvania University of Brasov. He received his B.S. in mathematics followed by his Ph.D. in differential geometry dependent on higher order accelerations.

Détails de l'édition

• Éditeur: Springer
• Date d'édition: 2023
• Langue: anglais
• ISBN 10: 3031088875
• ISBN 13: 9783031088872
• Reliure: Broché
• Nombre de pages: 100
• Coordonnées du fabricant: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Allemagne