Dual jet geometrization for time-dependent Hamiltonians and applications / Mircea Neagu, Alexandru Oana.
"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...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Ebook |
| Language: | English |
| Published: |
Cham :
Springer,
[2022]
|
| Series: | Synthesis lectures on mathematics & statistics (Springer (Firm)).
|
| Subjects: | |
| Online Access: | Springer Nature Synthesis Collection of Technology (R0) eBook Collection 2022 |
MARC
| LEADER | 00000czm a2200000 i 4500 | ||
|---|---|---|---|
| 005 | 20231003141654.0 | ||
| 006 | m o d | ||
| 007 | cr cnu000|uu|| | ||
| 008 | 220903s2022 sz a ob 001 0 eng d | ||
| 011 | |a Z3950 Record: 0 of 8 | ||
| 011 | |a Z3950 Search: @or @attr 1=7 "9783031088841" @attr 1=7 "9783031088858" | ||
| 020 | |a 3031088840 |q Internet | ||
| 020 | |a 3031088859 |q Internet | ||
| 020 | |a 9783031088841 |q Internet | ||
| 020 | |a 9783031088858 |q Internet | ||
| 035 | |a (EDS)EDS100894436 | ||
| 035 | |a (OCoLC)1343197560 | ||
| 040 | |a YDX |b eng |e rda |c YDX |d GW5XE |d EBLCP |d SFB |d OCLCF |d OCLCQ |d Z5A | ||
| 050 | 4 | |a QC20.7.H35 | |
| 082 | 0 | 4 | |a 530.15539 |
| 099 | |a 530.15539 NEA | ||
| 100 | 1 | |a Neagu, Mircea, |d 1973- |e author. | |
| 245 | 1 | 0 | |a Dual jet geometrization for time-dependent Hamiltonians and applications / |c Mircea Neagu, Alexandru Oana. |
| 264 | 1 | |a Cham : |b Springer, |c [2022] | |
| 264 | 4 | |c ©2022 | |
| 300 | |a 1 online resource (xii, 87 pages) : |b illustrations. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Synthesis lectures on mathematics & statistics, |x 1938-1751 | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | 0 | |t Time-Dependent Hamilton Geometry: -- |t The Dual 1-Jet Space <span class="mathjax-tex">\(E^{*}=J^{1*}(\mathbb {R},M)\)</span> -- |t N-Linear Connections -- |t h-Normal N-Linear Connections -- |t Distinguished Geometrization of the Time-Dependent Hamiltonians of Momenta -- |t Applications to Dynamical Systems, Economy and Theoretical Physics: -- |t The Time-Dependent Hamiltonian of the Least Squares Variational Method -- |t Time-Dependent Hamiltonian of Electrodynamics -- |t The Geometry of Conformal Hamiltonian of the Time-Dependent Coupled Harmonic Oscillators -- |t On the Dual Jet Conformal Minkowski Hamiltonian. |
| 520 | |a "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."--Publisher's website. | ||
| 588 | 0 | |a Online resource; title from PDF title page (SpringerLink, viewed September 13, 2022). | |
| 650 | 0 | |a Electronic books. |9 346137 | |
| 650 | 0 | |a Hamiltonian systems. |9 318625 | |
| 700 | 1 | |a Oana, Alexandru, |e author. | |
| 776 | 0 | 8 | |i Print version: |a Neagu, Mircea, 1973-. |t Dual jet geometrization for time-dependent Hamiltonians and applications. |d Cham : Springer, 2022 |z 9783031088841 |w (OCoLC)1338678741 |
| 776 | 1 | 8 | |w (OCoLC)1344159544 |
| 830 | 0 | |a Synthesis lectures on mathematics & statistics (Springer (Firm)). |x 1938-1751. | |
| 856 | 4 | 0 | |u https://ezproxy.aut.ac.nz/login?url=https://link.springer.com/10.1007/978-3-031-08885-8 |z Springer Nature Synthesis Collection of Technology (R0) eBook Collection 2022 |x TEMPORARY ERM URL |
| 942 | |c EB | ||
| 999 | |c 1820438 |d 1820438 | ||