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Generalized Event Space relativistic Hamilton principle and Lagrange equations

) J one. '''Fourth, analysis and discussion of equations (15) in the first equation {= l the meter Relativistic generalized energy equation. In fact, when = 1, there is a:. (16) U 【II by (6) can be obtained, (_112, a j ~ ‰ ... A Die for a chip such as a H ': (: 1,2, ...,), +1 oq where H is the Hamilton function relativistic . Based on the above three type, (16) can be written as the button + z,[link widoczny dla zalogowanych],: 0Ll71 Clearly,[link widoczny dla zalogowanych], if L 'f is not significant with time, there Relativistic energy integral H' = const (18I in, = T of the special circumstances Next,[link widoczny dla zalogowanych], X11, .= (17) type a + car: 0 (19jdf. f and (15), (14) into the latter equations are in the configuration space of a relativistic Lagrange equation: o_112, ...,) (20 (20) hundred and. ...''') a = (... 【21, (10), (11) also into the configuration space in the relativistic Hamilton Principle + lL'dtO Relativistic principles and Lagrange equations of Hamilton is more general. It not only contains the same configuration space but also includes the principle and the generalized equation of energy relations. In the l,[link widoczny dla zalogowanych],} <<c in the classical approximation, Generalized kinetic energy of a relativistic, a mo a i ? = lymo (1i-a good) _, a Σ, {a.) 1, ', 10 ~ on., into the kinetic energy function of classical mechanics, relativistic D, ? ', A, and functions into the classical mechanics, respectively, D, ?, A, and functions, the article in the Generalized Event Space relativistic Hamilton principle and Lagrange equations, are classical event space into a generalized Hamilton principle and Lagrange mechanics equation .