Comment on “On the Lagrangian and Hamiltonian description of the damped linear harmonic oscillator” [J. Math. Phys. 48, 032701 (2007)] | Zendy

Carl M. Bender | Zendy; Mariagiovanna Gianfreda | Zendy; Nima Hassanpour | Zendy; H. F. Jones | Zendy

Open Access

Comment on “On the Lagrangian and Hamiltonian description of the damped linear harmonic oscillator” [J. Math. Phys. 48, 032701 (2007)]

Author(s) -

Carl M. Bender,

Mariagiovanna Gianfreda,

Nima Hassanpour,

H. F. Jones

Publication year - 2016

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.4960722

Subject(s) - harmonic oscillator , hamiltonian (control theory) , mathematics , simple harmonic motion , constant coefficients , differential equation , mathematical analysis , lagrangian , mathematical physics , constant (computer programming) , linear differential equation , equations of motion , hamiltonian system , ordinary differential equation , classical mechanics , quantum mechanics , physics , mathematical optimization , computer science , programming language

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

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research