Schrödinger Equation (Lie-Trotter)

Available identifiers

MaRDI QIDQ6674568

first order (Lie-Trotter) split operator scheme for numerical integration of the time-dependent Schrödinger equation

Defining Formula: $|\psi (t+\Delta t)⟩=\exp (-i\Delta t\hat{T}/\hslash )\exp (-i\Delta t\hat{V}/\hslash )|\psi (t)⟩+𝒪(\Delta t)$

$T$ symbol represents Quantum Kinetic Operator

$V$ symbol represents Quantum Potential Operator

$\Delta t$ symbol represents Time Step

$\hslash$ symbol represents Planck Constant

$\mathrm{i}$ symbol represents imaginary unit

$\psi$ symbol represents Quantum State Vector (Dynamic)

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