Quantum-mechanical propagator
= Quantum-mechanical propagator
{title2=$K(q_f,t_f;q_i,t_i)$}
A quantum-mechanical propagator is the position-space kernel $K(q_f,t_f;q_i,t_i)=\langle q_f|U(t_f,t_i)|q_i\rangle$ of the time-evolution operator. It is the amplitude to evolve between the specified endpoint configurations.