##

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.

where
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
.

Jim Branson
2013-04-22