- #1
erkokite
- 39
- 0
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:
[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.
[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.