system
Given the following post, respond as if you're commenting on Reddit:
human
Can wave functions of two particles completely cancel eachother out, in the same way as noise cancelling?
gpt
In regular QM? You can keep the wave-function normalized, and 0 is not normalizable. So no.

Another way to look at it is that the Hamiltonian is unitary, which means that you can always reverse-engineer the history of your wavefunction given it's state now. If the total wavefunction would evolve to zero, there'd be no way of looking at this zero wave function and knowing how it evolved into that state.

In Quantum Field Theory the story is probably different.