ELI5: Explain Like I'm 5

Heisenberg picture

Okay kiddo, let me try to explain the Heisenberg picture for you. Have you ever played hide-and-seek before? In that game, someone hides and the others try to find them. In physics, there's something called the uncertainty principle, which says that you can't simultaneously know both the position and momentum (how fast and in what direction something is moving) of a particle.

Now, imagine you're playing hide-and-seek with a friend named Schrodinger. Schrodinger is really good at hiding, but you're really good at finding him. So you decide to play a different version of the game. Instead of Schrodinger hiding while you look for him, you both stay in the same spot and switch roles. Sometimes you'll hide and he'll look for you, and sometimes he'll hide and you'll look for him.

This is like the Heisenberg picture in physics. Normally, we talk about particles (like electrons) having positions and momenta that change over time. But in the Heisenberg picture, we don't think of the particles as having fixed positions and momenta. Instead, we think of the operators (which are like tools we use to measure these properties) as changing over time.

Just like in the game of hide-and-seek, we switch roles and say that the tool (like a ruler or a scale) that we use to measure the particle's position or momentum is the one that's moving around, while the particle stays in one spot. This makes it easier for us to do calculations and make predictions about how the particle will behave over time.

So, to sum it up: the Heisenberg picture is like playing hide-and-seek with a friend named Schrodinger, where you both stay in the same spot and switch roles of who is hiding and who is seeking, just like in the game, the tool (measuring instrument) that we use to measure a particle's properties is the one that's moving around, instead of the particle itself.