The Time Development Operator *
We can actually make an operator that does the time development of a wave function.
We just make the simple exponential solution to the Schrödinger equation using operators.
is the operator.
We can expand this exponential to understand its meaning a bit.
This is an infinite series containing all powers of the Hamiltonian.
In some cases, it can be easily computed.
is the time development operator.
It takes a state from time 0 to time