Jarab’ah, O., Nawafleh, K. and Ghassib, H. (2013) Canonical Quantization of Dissipative Systems. European Scientific Journal, 9, 132-154.
has been cited by the following article:
TITLE: Canonical Treatment of Elliptical Motion
AUTHORS: Ola A. Jarab’ah
KEYWORDS: Hamilton Jacobi Equation, Generalized Momentum, Elliptical Motion, Cyclic Coordinate
JOURNAL NAME: Advances in Pure Mathematics, Vol.13 No.9, September 26, 2023
ABSTRACT: The constrained motion of a particle on an elliptical path is studied using Hamiltonian mechanics through Poisson bracket and Lagrangian mechanics through Euler Lagrange equation using non-natural Lagrangian. We calculate the generalized momentumpθand we find that this quantity is not conserved and the conjugate θcoordinate is not a cyclic coordinate.