Time evolution

Okay kiddo, let's talk about time evolution. You know how things change over time? Like when you grow taller or your baby teeth fall out? That's time evolution!

Now, imagine you have a toy car. If you push it and give it a little nudge, it will move forward. And if you push it harder, it will go even faster! That's how time evolution works too.

Scientists use a special tool called a "wave function" to understand how things change over time. It's kind of like a map that tells you where the toy car is going.

Here's an example: let's say you have a ball and you throw it in the air. The wave function would tell us how high the ball goes and how fast it's moving at different points in time.

But things get even more interesting when we talk about very, very small things like atoms and particles. The wave function becomes more complicated because we can't really see where these tiny things are or how they're moving.

So scientists have developed fancy math equations to help them understand time evolution at this small scale. These equations can tell us how particles will behave and interact with each other as time goes on.

Overall, time evolution is really just a fancy way of understanding how things change over time, and scientists use tools like wave functions and math equations to help them study it in detail.