1.   At the quantum level the individual alternative routes have only amplitudes, not probabilities.

2.   But at the quantum level these terms give important interference effects.

3.   How does this affect things when effects at the quantum level get magnified so as to reach the classical level?

4.   The quantum level is the level of molecules, atoms, subatomic particles, etc.

5.   We shall be seeing that the complex numbers that we must use at the quantum level are closely related to classical probabilities.

6.   We shall only use these strange complex-number combinations at the quantum level.

7.   What Heisenberg claims is that not every event, at the quantum level, is sufficiently caused.

8.   He discovered a way to understand the complex actions of electrons, which circle all atomic nuclei in discrete energy bands, jumping from one quantum level to another.

9.   The impact of these planes is a quantum level higher than that of a tornado.