Liouville: Jacobian det(∂(q,p)/∂(q₀,p₀))=1 for SHO Hamiltonian flow; df/dt=0

Sympy-exact symbolic witness of Liouville's phase-space-volume theorem using the harmonic-oscillator Hamiltonian flow as minimal example. Setup: q₀, p₀, t, ω sp-symbols positive; SHO Hamiltonian H = p²/2 + ω²q²/2 with flow q(t) =…