2 citations · 3 across the 4 of their papers we have counts for
5 papers
Linearization of the Relativistic Oscillator Hierarchy
Robert L. Anderson
This paper is based on MacColl's [1] solution of the equation of motion for a linear (harmonic) oscillator subject to the laws of special relativity in the rest frame of the center…
Green's Function for the Quartic Oscillator
Robert L. Anderson
In this paper, a quantum mechanical Green's function for the quartic oscillator is presented. This result is built upon two previous papers: first [1],…
Integration of the Classical Action for the Quartic Oscillator in 1+1 Dimensions
Robert L. Anderson
In this paper, we derive an explicit form in terms of end-point data in space-time for the classical action, i.e. integration of the Langrangian along an extremal, for the nonlinea…
An Invertible Linearization Map for the Quartic Oscillator
Robert L. Anderson
The set of world lines for the non-relativistic quartic oscillator satisfying Newton's equation of motion for all space and time in 1-1 dimensions with no constraints other than th…
Actions for an Hierarchy of Attractive Nonlinear Oscillators Including the Quartic Oscillator in 1+1 Dimensions
Robert L. Anderson
In this paper, we present an explicit form in terms of end-point data for the classical action evaluated on extremals satisfying the Hamilton-Jacobi equation for each memb…