there is a equation for two spins in entangled(adsbygoogle = window.adsbygoogle || []).push({});

Hamiltonian: H=J([tex]\vec{\sigma}^1\cdot\vec{\sigma}^2+\vec{\sigma}^2\cdot\vec{\sigma}^1[/tex])+B([tex]\vec{\sigma}^1_z+\vec{\sigma}^2_z[/tex])

where [tex]\vec{\sigma}^i=(\sigma^i_x,\sigma^i_y,\sigma^i_z)[/tex] are the pauli matrics for the ith (i=1,2) spin. J is the exchange constant ,

My difficulties: how can we solve the Hamiltonian to get the four eigenvalues?

thank you for helping me, and i want a detail reprentation.

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# How can get the eigenvalues of the two spin entangle

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