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Question: Solving an equation for a given condition

Question:Solving an equation for a given condition

chomchom 20 Maple
differential-equation
October 25 2016
0

Howdy!!

Just thought I'd put a quick one in. I'm trying to solve the Schrodinger equation given as:

schro := {diff(psi(x), x, x)-((b^2-a*(2*p+3))*x^2+2*ab*x^4+a^2*x^6-energy)*psi(x) = 0};

under the constraint

energy=(2p+1)b

I'm trying to plot this for a range of values of the parameters a,b and fixed p=0,1.

I'm aiming to get a solution of the form

psi(x)=(x^p) exp((-a(x^4))/4)-(b(x^2)/2)

and plotting it.

Thanks in advance
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