(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The wavefunction for a particle in one dimension is given by

ψ_{1}. Another state the particle may be in is ψ_{2}. A third state the particle could be in is ψ_{3}.

Looking at the wavefunctions, ψ_{3}is ψ_{1}and ψ_{2}added together.

Is the probability of being in a given interval in ψ_{3}the same as the separate probabilities for ψ_{1}and ψ_{2}for that interval?

2. Relevant equations

3. The attempt at a solution

I don't really understand how superposition works. I read something about the ψ's being linear, so a linear combination of ψ_{1}and ψ_{2}(ie. ψ_{3}) is still a solution to the Schrodinger equation.

Is the superposition state a completely different state still though? I don't get why I am being asked this question. If it's a mixture of the two states, the probabilities would change wouldn't they? I don't see the link here.

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# Quantum Mechanics - Superposition of Wavefunctions?

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