Question

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

**Ψ**_{n}(x)= square root (2/L)sin(w_{n}x) 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 w_{n} is a constant for a given n

one of the questions asks to find w_{n} such that **Ψ**_{n}(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 w_{n} is important

Step 1

To find the sequence wn of numbers such th...

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Sorry about that. What wasn’t helpful?