Is the Energy Sharply or Fuzzily Defined in Quantum Mechanics?

According to quantum mechanics, energy of a state is uncertain within a small range in hydrogen atom. But we also know that energy of a state is quantized which is contradictory to the first. Which one is correct?

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You can see the energy uncertainty in the following practical way: the energy of a level has a real and imaginary part. They both are "sharp" values. The time evolution of the given state describes a transition rate into another state. –  Vladimir Kalitvianski Dec 7 '11 at 17:05
You're using the word "state" in two different ways here. –  Harry Johnston Dec 7 '11 at 19:32
I meant a decaying factor $exp(-\gamma_{12})$ at the initial state $|\psi_1 |^2$ and a growing factor $[1-exp(-\gamma_{12})]$ at the final state $|\psi_2 |^2$ or so. –  Vladimir Kalitvianski Dec 7 '11 at 22:10