Dual Jet Geometrization for Time-Dependent Hamiltonians and Applications (Record no. 86219)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03849nam a22005895i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-3-031-08885-8 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240730165301.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 220831s2022 sz | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783031088858 |
| -- | 978-3-031-08885-8 |
| 082 04 - CLASSIFICATION NUMBER | |
| Call Number | 516.36 |
| 100 1# - AUTHOR NAME | |
| Author | Neagu, Mircea. |
| 245 10 - TITLE STATEMENT | |
| Title | Dual Jet Geometrization for Time-Dependent Hamiltonians and Applications |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. 2022. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | XII, 87 p. 1 illus. |
| 490 1# - SERIES STATEMENT | |
| Series statement | Synthesis Lectures on Mathematics & Statistics, |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Remark 2 | The dual 1-jet space -- N-linear connections -- h-Normal N-linear connections -- Distinguished geometrization of the time-dependent Hamiltonians of momenta -- The time-dependent Hamiltonian of the least squares variational method -- Time-dependent Hamiltonian of electrodynamics -- The geometry of conformal Hamiltonian of the time-dependent coupled harmonic oscillators -- On the dual jet conformal Minkowski Hamiltonian. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | 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. Provides interdisciplinary geometric models in differential geometry, analytical mechanics, dynamical systems, electrodynamics, economics, and theoretical and mathematical physics Structured in two parts to present both the geometrical theory and the applicative models Studies the differential geometry of spaces in which the metric used for measuring changes in function of time and momentum. |
| 700 1# - AUTHOR 2 | |
| Author 2 | Oană, Alexandru. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://doi.org/10.1007/978-3-031-08885-8 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
| 264 #1 - | |
| -- | Cham : |
| -- | Springer International Publishing : |
| -- | Imprint: Springer, |
| -- | 2022. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Geometry, Differential. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Mathematical physics. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Dynamical systems. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Dynamics. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Nonlinear theories. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Electrodynamics. |
| 650 14 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Differential Geometry. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Mathematical Physics. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Dynamical Systems. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Applied Dynamical Systems. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Classical Electrodynamics. |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| -- | 1938-1751 |
| 912 ## - | |
| -- | ZDB-2-SXSC |
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