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shooting method

• To: mathgroup at smc.vnet.net
• Subject: [mg92013] shooting method
• From: Luca Petrone <luke-sky-walker at hotmail.it>
• Date: Tue, 16 Sep 2008 19:27:43 -0400 (EDT)

Dear All,

Using a shooting method, I would like to find the smallest eigenvalue of

-y''[x] + 400((1/x)^12 - (1/x)^6) y[x] ==  E0*y[x]

(the quantum-mechanical steady state energy of an anharmonic oscillator with Lennard-Jones potential)
with the boundary conditions :
y[A]==0
y[B]==0
with A<<1 and B >> 1
Can anyone help about how to implement it ?

Thank you

Luca