- #1

ChaosCon343

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I'm taking my first quantum class this year, and I'm still on really shaky ground about time-dependent and time-independent solutions of the Schrödinger equation. I understand that the time independent Schrödinger equation comes from separating your space and time variables, but I have trouble interpreting the

*meanings*of both types of solutions. Particularly, why can you reconstruct

**any**arbitrary [tex]\Psi(x,t)[/tex] out of the time-independent solutions? Rather, why can an electron in, say, an infinite square well potential have different [tex]\Psi[/tex]'s?