I solved using the shooting method the first 3 level of the anharmonic quantum potential well

I get a plot like this

since I've found the three energys with fzero I simply run this code

Any suugest in how to normalize?

thank you

`x=linspace(-0.5,+0.5);V=alpha*x.^2+beta*x.^4;xspan = [-0.5,0.5];options = odeset('RelTol',1e-8,'absTol',[1e-8,1e-8]);for i=1:length(ENERGIE) Etrial=ENERGIE(i); [T,Y] = ode45(@Anharmonic,xspan,init_cond,options); plot(T,Y(:,1))end `

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