If I have two particles, each represented by an identical Hamiltonian, [tex]\hat{H}[/tex] and I want to find a wavefunction representing the two particle system, how do I do this? I've tried to create a combined Hamiltonian and find its eigenvectors like this:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\hat{H}_{combined}=\hat{H}\otimes\hat{H}[/tex]

[tex]\hat{H}_{combined}\psi=E_{n}\psi[/tex]

Note- the multiplication of the Hamiltonians is the tensor or kronecker product. I don't know if this is correct however. Could someone correct me if this is incorrect?

Many thanks.

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# Multiple particle system

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