Rigged Hilbert space is a way of understanding how systems move and interact with each other. It's a mathematical tool that helps us study how particles, like atoms and electrons, are affected by different things. In order to understand it better, think of it like a big game of football. On a football field, there are a certain number of players and they all have certain rules they must follow. In rigged Hilbert space, all the particles have rules too and they all interact with each other in certain ways. It lets us understand how they react in different conditions, like in a vacuum or a strong magnetic field.