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I thought Hamiltonian for two particle system is [itex] H = \frac{-\hbar^2}{2m}\frac{\partial}{\partial x_{1}} + \frac{-\hbar^2}{2m}\frac{\partial}{\partial x_{2}} + v(x) [/itex]

But is it right? I just want to know This way is right to construct every hamiltonian of many

body system.

What i want to know more is How can we solve this problem?

I have heard that computational methode can be used after transforming wave equation to

matrix form. Is it right?

Do you have any recommandation practice to improve integral and solve difficult differential

equation ?

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# [Q]Hamiltonian of many body problem.

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