Hi. This is given   The spatial dependance of the quantum states of a particle confined to a one dimensional potential well between x=0 and x=L is  Ψn(x)= square root (2/L)sin(wnx) when 0<x<L and zero otherwise where x denotes positon, L the width of the well, n=1,2,3.. is an integer indentifying the quantum state of the particle, and wn is a constant for a given n     one of the questions asks to find wn such that  Ψn(L) = 0 Can you help explain how to get the answer. I would think for the funtion to equal zero it would depend on L being equal to zero, I don't see how wn is important

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.