📚 Time evolution in quantum mechanics can be described in various alternative but equivalent ways, each of which referred to as a "picture". We can relate the different pictures by unitary transformations driven by time evolution operators. In this video, we compare two of the most common pictures, the Schrödinger picture and the Heisenberg picture. In the Schrödinger picture, time evolution is encoded by states, while in the Heisenberg picture states are time independent and the time evolution is encoded by the observables. 0:00 Intro 0:52 Schrodinger picture 4:52 Time evolution operator 6:54 Heisenberg picture - simple motivation 11:08 Unitary transformations 13:32 Pictures of time evolution in quantum mechanics 16:28 Heisenberg picture 22:52 Dynamics 27:31 Conservative systems 30:14 Why use the Heisenberg picture? 32:42 Wrap-up ⏮️ BACKGROUND Schrödinger equation: Time evolution operator: Unitary operators: Expectation values: Measurements: The Ehrenfest theorem: ⏭️ WHAT NEXT? Interaction picture: [COMING SOON] ~ Director and writer: BM Producer and designer: MC