Part A:PDE and Conservation Laws. Basic results on the formal theory of PDE. Pseudogroups and PDE. The Euler-Lagrange operator for Lagrangians of any order. Cartan form and Noether conservation laws for Lagrangian of any order. Symmetry properties and dynamic conservation laws. Part B: Quantized PDE and Conservation Laws. Quantum charges. Quantum situs. Geometric theory of quantized PDE. Quantum cobordism and Dirac's approach to quantization. Applications: Klein-Gordon equation; Maxwell equation; Dirac equation; Einstein equation; Yang-Mills equation. Appendix. Topological vector spaces, $ C^*$-algebras and spectral theory. Local characterization of some geometric structures related to PDE.
Dynamic conservation laws / Prastaro, Agostino. - STAMPA. - (1985), pp. 283-420.
Dynamic conservation laws.
PRASTARO, Agostino
1985
Abstract
Part A:PDE and Conservation Laws. Basic results on the formal theory of PDE. Pseudogroups and PDE. The Euler-Lagrange operator for Lagrangians of any order. Cartan form and Noether conservation laws for Lagrangian of any order. Symmetry properties and dynamic conservation laws. Part B: Quantized PDE and Conservation Laws. Quantum charges. Quantum situs. Geometric theory of quantized PDE. Quantum cobordism and Dirac's approach to quantization. Applications: Klein-Gordon equation; Maxwell equation; Dirac equation; Einstein equation; Yang-Mills equation. Appendix. Topological vector spaces, $ C^*$-algebras and spectral theory. Local characterization of some geometric structures related to PDE.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
