Splitting the Hamiltonian: Heisenberg and Interaction Pictures
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.
Fields of Study & Subjects
Quantum Mechanics and Applications
Quantum many-body systems
Numerical methods for differential equations
Publication details
- Journal / source
- Cambridge University Press eBooks
- Pages
- 16–20
- Publication date
- 6 February 2026
- Document type
- Book chapter