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

It is possibly not a homework problem.However,to do a homework problem,I require this:

Boas writes the effect of Ladder operators on y_n that satisfies

y"_n-x^2y_n=-(2n+1)y_n,n=0,1,2,3...

(D-x)(D+x)y_n=-2ny_n

(D+x)(D-x)y_n=-2(n+1)y_n

Then,she proved y_(m-1)=(D+x)y_m and the other raising operator eqn.

So far there is no problem...

Now she says,if n=0,we find a solution of (D-x)(D+x)y_n=-2ny_n by requiring (D+x)y_0=0

My question is if n=0,we have (D-x)(D+x)y_0=0.

Does that mean (D+x)y_0=0 necessarily?

2. Relevant equations

3. The attempt at a solution

treating (d+x)y_0=t,I saw that we have (D-x)t=0 or,t=c exp[x^2/2]

So,they are treating c=0?...why?

I am toatlly confused.Please help.

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# Homework Help: Hermite functions,Ladder operators

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