Dipartimento di fisica Home Web Mail Universita' degli studi di Parma Computer Palmari Telefonini WAP  
Seminario
" Quantization of Constrained Systems"

Relatore: Prof. John R. Klauder
Note: Le lezioni seguono lo stesso orario nei giorni 31.3, 6.4, 7.4

Aula Newton
06 Aprile 2011 ore 15.30

Abstract
1. Classical constrained systems, 1st and 2nd class systems, reducible and irregular constraints; Standard quantization approaches (Dirac, Faddeev-Popov, BRST, etc.); quantize first, reduce second; deficiencies in the usual approaches. 1. Classical constrained systems, 1st and 2nd class systems, reducible and irregular constraints; Standard quantization approaches (Dirac, Faddeev-Popov, BRST, etc.); quantize first, reduce second; deficiencies in the usual approaches. 2. Coherent states, reproducing kernel Hilbert spaces; Projection operator method; Examples: J^2, P^2 +Q^2, P; reducible and irregular constraints: Q^2+Q^2, Q^{2\Omega}; other examples; observables [O,E] = 0 ; advanced examples 3. Realization of E (universal formula); dynamics with [H,E]\not=0, general formula; speical case [H,E] = 0. Path integral ; coherent state path integral ; Wiener measure regularized expression. 4. application to quantum gravity, affine commutation relations; affine coherent states; choose |\eta> to find <\pi'',,g''| ... |\pi',g.> in original Hilbert space; constraints via POM; continuous-time regularization functional integral including E.