Generalized Relativistic Hamiltonian in an Alpha Field

• DOI: 10.1063/1.3527149
• Publication Date: 2010-12-06T16:22:13Z
• Authors: Branko M. Novakovic; Daniel M. Dubois
• Keywords: Hamiltonian (control theory); Klein–Gordon equation; Ansatz

An alpha field is a potential that can be presented by two dimensionless parameters α and α′. To this category belong, among the others, electromagnetic gravitational fields. The α′ should satisfy equations of related in each concrete case. problem to derive generalized relativistic Hamiltonian applied an field. Starting with variation principle line element ds2, linear Dirac's like has been derived as function comparison coefficients well known helps understand their physical sense. application leads gravitomagnetic phenomena on natural way, without any priory assumption. nonlinear for also starting one using quadratic operation. Both Hamiltonians Special General Relativity, as, multipotential