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Comment on “On the Lagrangian and Hamiltonian description of the damped linear harmonic oscillator” [J. Math. Phys. 48, 032701 (2007)]
J. D. Jackson, Classical Electrodynamics (Wiley & Sons, New York, 1963).
C. M. Bender and S. A. Orszag, in Advanced Mathematical Methods for Scientists and Engineers (McGraw-Hill, New York, 1977), Chap. 5, example 3.
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, edited by M. Abramowitz and I. A. Stegun (Dover, New York, 1972), Eq. (22.10.15).
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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.
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