  Purdue and Favata calculate the tidal heating used certain classical
pseudotensors. Booth and Creighton employed the quasi-local mass formalism of
Brown and York to demonstrate the same subject. All of them give the result
matched with the Newtonian theory. Here we present another Hamiltonian
quasi-local boundary expressions and all give the same desired value. This
indicates that the tidal heating is unique as Thorne predicted. Moreover, we
discovered that the pseudo-tensor method and quasi-local method are
fundamentally different.
