| ψ ( t + Δ t ) ⟩ = exp ( − i Δ t T ^ / ( 2 ℏ ) ) exp ( − i Δ t V ^ / ℏ ) exp ( − i Δ t T ^ / ( 2 ℏ ) ) | ψ ( t ) ⟩ + 𝒪 ( Δ t ) 2
Δ t
T ^
V ^
ψ ( t )
Schrödinger Equation (Strang-Marchuk)
second order (Strang-Marchuk) split operator scheme for numerical integration of the time-dependent Schrödinger equation