The method of collective variables and the generalized Hamiltonian formalism
Teoretičeskaâ i matematičeskaâ fizika, Tome 45 (1980) no. 1, pp. 46-53
A. V. Shurgaya. The method of collective variables and the generalized Hamiltonian formalism. Teoretičeskaâ i matematičeskaâ fizika, Tome 45 (1980) no. 1, pp. 46-53. http://geodesic.mathdoc.fr/item/TMF_1980_45_1_a3/
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N. N. Bogoliubov's transformations leading to the Lagrangian with constraints are considered in the framework of the generalised Hamiltonian theory due to Dirac. An expression for the $S$-matrix is derived using the path integrals over the phase space.

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