On the Standard Cliffordian Hamiltonian Formulation of Symplectic Mechanics Using Frame and Co-Frame fields
In the standard Cliffordian Hamiltonian mechanics we use canonical local basis {𝑱𝑱𝟏𝟏∗ ,𝑱𝑱𝟐𝟐∗ ,𝑱𝑱𝟑𝟑∗ }. In this paper using the frame fields 𝒊𝒊𝑿𝑿=𝑿𝑿𝒂𝒂𝒂𝒂+𝒊𝒊𝝏𝝏𝝏𝝏𝒙𝒙𝒂𝒂𝒂𝒂+𝒊𝒊 ,𝒂𝒂=𝟎𝟎,𝟏𝟏,𝟐𝟐,…,𝟕𝟕 instead of the Hamiltonian vector field in the Cliffordian Hamiltonian formulation we verified the generalized form of Hamiltonian equation which is in conformity with the results that have been obtained previously.
