I need to elaborate the equation ,and need to know what is the physical significance and how matrices will manipulate in the equation $$(adsbygoogle = window.adsbygoogle || []).push({});

\hat{H} = (\hat{\tau_3}+i\hat{\tau_2})\frac{\hat{p}^2}{2m_0}+ \hat{\tau_3}m_0 c^2 = \frac{\hat{p}^2}{2m_0}

\left| \begin{array}{ccc}

1 & 1 \\

-1 & -1 \\

\end{array}\right| \frac{\hat{p}^2}{2m_0} + \left| \begin{array}{ccc}

1 & 0 \\

0 & -1 \\

\end{array}\right| m_0 c^2

$$

Where $$\tau_1 , \tau_2,\tau_3

$$ are Pauli matrices and Hamiltonian comes from "Schrodinger form of the free Klein_Gordon equation

And also why did we added Pauli matrices in the free Hamiltonian ?

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# Free Hamiltonian problem for relativistic mechanics

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