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Applications of the Lie theory of extended groups in Hamiltonian mechanics: the oscillator and the Kepler problem
| Content Provider | Scilit |
|---|---|
| Author | Leach, P. G. L. |
| Copyright Year | 1981 |
| Description | The method of the Lie theory of extended groups has recently been formulated for Hamiltonian mechanics in a manner which is consistent with the results obtained using the Newtonian equation of motion. Here the method is applied to the three-dimensional time-independent harmonic oscillator and to the classical Kepler problem. The expected constants of motion are obtained. Previously unobserved relations between generators and invariants are also noticed. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/8D6E4EC87483207853F1F0765A5518A4/S0334270000000151a.pdf/div-class-title-applications-of-the-lie-theory-of-extended-groups-in-hamiltonian-mechanics-the-oscillator-and-the-kepler-problem-div.pdf |
| Ending Page | 186 |
| Page Count | 14 |
| Starting Page | 173 |
| ISSN | 03342700 |
| e-ISSN | 18394078 |
| DOI | 10.1017/s0334270000000151 |
| Journal | The Journal of the Australian Mathematical Society. Series B. Applied Mathematics |
| Issue Number | 2 |
| Volume Number | 23 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 1981-10-01 |
| Access Restriction | Open |
| Subject Keyword | The Journal of the Australian Mathematical Society. Series B. Applied Mathematics Hamiltonian Mechanics |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics |
