Superposition between discrete states of a system is widely considered in the literature, but this system, e.g., a $H$ atom, can also have a continuum in its energy spectrum.

Can the state of a system be in a superposition of an energy level in the discrete part of the spectrum with one level in the continuum part (or with an interval thereof)?

In other words: Can an electron in a $H$ atom be in a superposition of bound to and free from the proton?


marked as duplicate by Emilio Pisanty, user36790, Kyle Kanos, Qmechanic quantum-mechanics Dec 13 '15 at 18:52

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    $\begingroup$ Essentially a duplicate of [Is it possible that we have a physical state which is a mixture of discrete eigenstates and continuous ones?](physics.stackexchange.com/q/139311 $\endgroup$ – Emilio Pisanty Dec 13 '15 at 17:31