Hi everyone, One approach to solve the Schrodinger equation is to use separation of variables: the solution is composed of a time dependant and space dependant component. When we go through the math, we get a time dependent LHS equal to a space dependant RHS, which means they must both be equal to a separation constant E. We know that E is the total energy of the system. Could someone explain why that is? I know the answer has to do with the Hamiltonian operator, but I have trouble understanding this concept and explaining it to others. Thank you.