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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Multiple particle system

**Physics Forums | Science Articles, Homework Help, Discussion**