  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<Land zero otherwisewhere 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) = 0Can 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

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

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

Step 1

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

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