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Comment on "On the Lagrangian and Hamiltonian description of the damped linear harmonic oscillator" [J. Math. Phys. 48, 032701 (2007)]
| File | Description | Size | Format | |
|---|---|---|---|---|
 JMPsubmissionRev.pdf | Accepted version | 280.29 kB | Unknown | View/Open |
| Title: | Comment on "On the Lagrangian and Hamiltonian description of the damped linear harmonic oscillator" [J. Math. Phys. 48, 032701 (2007)] |
| Authors: | Bender, CM Gianfreda, M Hassanpour, N Jones, HF |
| Item Type: | Journal Article |
| Abstract: | In a remarkable paper Chandrasekar et al. showed that the (second-order constant-coefficient) classical equation of motion for a damped harmonic oscillator can be derived from a Hamiltonian having one degree of freedom. This paper gives a simple derivation of their result and generalizes it to the case of an nth-order constant-coefficient differential equation. |
| Issue Date: | 15-Aug-2016 |
| Date of Acceptance: | 29-Jul-2016 |
| URI: | http://hdl.handle.net/10044/1/42217 |
| DOI: | https://dx.doi.org/10.1063/1.4960722 |
| ISSN: | 1089-7658 |
| Publisher: | AIP Publishing |
| Journal / Book Title: | Journal of Mathematical Physics |
| Volume: | 57 |
| Issue: | 8 |
| Copyright Statement: | © 2016 The Authors. Published by AIP Publishing. |
| Keywords: | Science & Technology Physical Sciences Physics, Mathematical Physics DIFFERENTIAL-EQUATIONS HERMITICITY SYMMETRY Mathematical Physics 01 Mathematical Sciences 02 Physical Sciences |
| Publication Status: | Published |
| Article Number: | ARTN 084101 |
| Appears in Collections: | Physics Theoretical Physics Faculty of Natural Sciences |