Schrödinger picture

The Schrödinger picture of quantum mechanics is a model for dealing with time-dependent problems. The following assumptions are made:

,

Where the system of Hamiltonian.

To indicate that you are in the Schrödinger picture, states and operators are sometimes provided by the index " S " or

The time-dependent state is given by the state at a fixed time t0 and the unitary time evolution operator:

Two other models are the Heisenberg picture and the interaction picture. All models give the same expectation values. For the expectation value a of the operator results in the Schrödinger picture: