We discuss the phase-space of conservation laws in the Lagrangian and Hamiltonian formalism from a very general point of view, deriving all the geometrical properties of this reduced configuration space. Such a mathematical approach, based on an integration of the system dependent on the inequality between the number of dimensions in the configuration space and the number of conservation laws, is extremely useful in connection to the derivation of a general conservation principle (from which particular conservation laws can be derived). Properties and behaviours of general solutions are discussed in relation to the existence of first integrals of motion.'
Basini, G., Bongiorno, F., Capozziello, S., Longo, G. (2004). THE PHASE-SPACE VIEW OF CONSERVATION LAWS. MATHEMATICAL INEQUALITIES & APPLICATIONS.
THE PHASE-SPACE VIEW OF CONSERVATION LAWS
BONGIORNO, Fulvio;
2004-01-01
Abstract
We discuss the phase-space of conservation laws in the Lagrangian and Hamiltonian formalism from a very general point of view, deriving all the geometrical properties of this reduced configuration space. Such a mathematical approach, based on an integration of the system dependent on the inequality between the number of dimensions in the configuration space and the number of conservation laws, is extremely useful in connection to the derivation of a general conservation principle (from which particular conservation laws can be derived). Properties and behaviours of general solutions are discussed in relation to the existence of first integrals of motion.'I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
