Yeah, energy states lower than ground just doesn't make sense to me. I would have to see the mathematics to see why he's claiming that it's even possible for something to be lower than ground state. Every time there's a mathematical state lower than ground state, the system usually can be shown to have a zero percent probability of ever being found in such a state.
Now, the hydrogen atom DOES have a degenerate ground state, but that just means there's multiple states with the same energy.
http://upload.wikimedia.org/math/3/5...daec9585b2.png
The lowest energy level is clearly corresponding to n=1. This is because n is restricted to be a non-negative integer (this can be deduced directly from the Schrodinger equation after taking into account boundary conditions). Obviously n can't be equal to 0. One reason is because there are n's in th denominator, and the other reason is because the energy depends on n. If n is zero, the atom has no energy (which would violate the laws of physics).