Cambridge University Press eBooks
Splitting the Hamiltonian: Heisenberg and Interaction Pictures
Giancarlo Calvanese Strinati
Abstract
In the Schrödinger and Heisenberg representations, the time-evolution operator depends on the full time-dependent Hamiltonian, which includes an external time-dependent potential. Out of this full-time dependence, it is useful to isolate the time dependences due to either the full system Hamiltonian or its noninteracting part. These two cases, referred to as the Heisenberg and interaction pictures, respectively, are considered separately.