TY - JOUR ID - 29772 TI - Application of Geometric Algebra to Generalized Hamiltonian (Birkhoffian) Mechanics JO - The International Conference on Mathematics and Engineering Physics JA - ICMEP LA - en SN - 2636-431X AU - Abou El Dahab, E. T. AD - Y1 - 2010 PY - 2010 VL - 5 IS - International Conference on Mathematics and Engineering Physics (ICMEP-5) SP - 1 EP - 9 DO - 10.21608/icmep.2010.29772 N2 - AbstractThe basic concepts of generalized Hamiltonian ( Birkhoffian ) mechanics are derived usingGemotric Algebra. Both Generalized Poisson bracket (GPB) and Generalized Lagrangebracket (GLB) are introduced. Similarly Generalized plus Poisson bracket (GPPB) andGeneralized plus Lagrange bracket (GPLB) are derived which seems different from the formsby other authors. Differential constrains are derived, one of which resembles that ofelectromagnetic field strength. UR - https://icmep.journals.ekb.eg/article_29772.html L1 - https://icmep.journals.ekb.eg/article_29772_2656e3a2044b664280d6d3637f2f57cb.pdf ER -