Liang

A Symbolic Derivation of a Characteristic Length Scale from a Toy Dimensionless Oscillator Model: R0 = 2λ_C (Twice the Reduced Compton Wavelength)

This note presents a purely symbolic derivation, starting from an ad hoc dimensionless dynamical equation a = 1/x^2 - x^2 with equilibrium point x_eq = 1. Using only the algebraic relations f = c/(pi*R0), E = h*f, h = 2*pi*hbar, and E = m*c^2, a characteristic length scale R0 is...