The Schrödinger and Heisenberg Representations: Time-Evolution Operator
Abstract
This chapter introduces the Hamiltonian operator in the language of second quantization, which is associated with the many-particle system to be considered throughout, including its time-dependent part. An expression is derived for the corresponding time-evolution operator, which depends only on the Hamiltonian and not on the initial preparation of the system before the time-dependent part begins to act. The connection between the Schrödinger and Heisenberg representations is discussed.
Fields of Study & Subjects
Quantum many-body systems
Quantum Mechanics and Applications
Cold Atom Physics and Bose-Einstein Condensates
Publication details
- Journal / source
- Cambridge University Press eBooks
- Pages
- 8–15
- Publication date
- 6 February 2026
- Document type
- Book chapter