Looking for a time independent Hamiltonian of a dynamical system
Michal Dobrski
Abstract
In this paper we introduce a method for finding a time independent Hamiltonian of a given dynamical system by canonoid transformation. We also find a condition that the system should satisfy to have an equivalent time independent formulation. We study the example of damped oscillator and give the new time independent Hamiltonian for it, which has the property of tending to the standard Hamiltonian of the harmonic oscillator as damping goes to zero.
Create a lesson
Related papers
Covariant Electrodynamics with a Scalar Degree of Freedom
Seil Sautbekov
Electromagnetic Radiation from a Neutralized Polarized Sphere with Two Conserved Currents for One Charge History
Natan Rentzber
The Photon Gas in Classical Mechanics: A Statistical-Mechanical Treatment of Classical Field Theory
Farhang Loran, Saman Moghimi-Araghi
Hydrogen Molecular Ion and Molecule in Classical Electrodynamics with Classical Zero-Point Radiation
Timothy H. Boyer
Spheroid rolling up on diverging inclines
Khanh P. M. Hoang, Duy V. Nguyen
Scalar-Longitudinal Radiation in Extended Electrodynamics with Multipole Theory and a Compensated Source Model
Natan Rentzber