Question

electrons jump from one energy state to the other but not actually move

Answer 1

Yes this is true, but where's the question. What you have posted is just a statement.

Answer 2

The fact is that an electron transitioning in an atom does not actually discontinuously leap from one energy level to another energy level, but makes a smooth transition. ... The orbitals of a particular atom are not the only allowed states that an electron can take on in the atom.