Resolvent formalism

So, imagine you have two friends who are in a fight and they are not speaking to each other. You want to help them make up and become friends again. What would you do?

One way to solve this problem is to ask a mediator to talk to each friend separately and listen to what they have to say. The mediator can then help them to understand each other's points of view and find a way to resolve their differences.

This is similar to how resolvent formalism works in physics. Resolvent formalism is a tool that helps physicists to understand the behavior of a complicated system by breaking it down into smaller parts.

For example, imagine you have a system made up of lots of particles that are all interacting with each other. It's very difficult to understand how all these particles are moving and behaving at the same time.

So instead, physicists use resolvent formalism to break down the system into smaller, more manageable parts. They use a mathematical equation called the resolvent to describe how the system behaves when it is separated into different parts.

Think of it like dividing a cake into slices. It's much easier to understand how each slice of cake behaves on its own than to try and understand how the whole cake behaves as one big piece.

By using resolvent formalism, physicists can get a better understanding of how each part of the system behaves, and how it interacts with the other parts. This can help them to predict how the entire system will behave over time.

So just like how a mediator can help two friends to understand each other and become friends again, resolvent formalism can help physicists to understand complicated systems and predict their behavior.