Application of Geometric Algebra to Generalized Hamiltonian (Birkhoffian) Mechanics

Document Type : Original Article



The basic concepts of generalized Hamiltonian ( Birkhoffian ) mechanics are derived using
Gemotric Algebra. Both Generalized Poisson bracket (GPB) and Generalized Lagrange
bracket (GLB) are introduced. Similarly Generalized plus Poisson bracket (GPPB) and
Generalized plus Lagrange bracket (GPLB) are derived which seems different from the forms
by other authors. Differential constrains are derived, one of which resembles that of
electromagnetic field strength.