Apparently, this is the DOLLS tensor Hamiltonian:(adsbygoogle = window.adsbygoogle || []).push({});

[ tex ] H = H_0 + \sumq_ip_i : ∇u(t)^T [ /tex ]

These are the derived equations of motion:

[ tex ] \dot{q}_i =p_i/m +q_i \cdot ∇u[ /tex ]

[ tex ] \dot{p}_i =F_i - ∇u\cdotp_i [ /tex ]

And these are the SLLOD equations of motion:

[ tex ] \dot{q}_i =p_i/m +q_i \cdot ∇u[ /tex ]

[ tex ] \dot{p}_i =F_i -p_i \cdot ∇u[ /tex ]

For me this is nonsense. What is a division of an outer product (I guess), [ tex ] \sumq_ip_i [ /tex ], by a transposed vector? And, most of all, what is the difference between the equations of motion of these two methods?

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# DOLLS and SLLOD Algorithm

Can you offer guidance or do you also need help?

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