How to calculate the many-body wavefunction

[unica]

hello, friends in this forum. Do you provide me some cues in calculating the many-body wavefunction? such as the fpu-beta model, the Hamiltonian of it is
$$H=\sum_{i=1}^{N}\frac{p_{i}^{2}}{2}+\frac{(x_{i}-x_{i-1})^{2}}{2}+\frac{(x_{i}-x_{i-1})^{4}}{4}$$
,Thank you!

 

[olgranpappy]

hello, friends in this forum. Do you provide me some cues in calculating the many-body wavefunction? such as the fpu-beta model, the Hamiltonian of it is
$$H=\sum_{i=1}^{N}\frac{p_{i}^{2}}{2}+\frac{(x_{i}-x_{i-1})^{2}}{2}+\frac{(x_{i}-x_{i-1})^{4}}{4}$$
,Thank you!

"the" many-body wavefunction? There are very many many-body wavefunctions. Which one do you want to calculate? The ground state, perhaps?

 

[unica]

Yes, I mean the ground state. Do you know how to calculate it theoretically or numerically?