Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1996-12-18
Phys.Rev. D56 (1997) 2144-2154
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
26 pages, Plain TeX, no figures
Scientific paper
10.1103/PhysRevD.56.2144
This paper has a dual purpose. One aim is to study the evolution of coherent states in ordinary quantum mechanics. This is done by means of a Hamiltonian approach to the evolution of the parameters that define the state. The stability of the solutions is studied. The second aim is to apply these techniques to the study of the stability of minisuperspace solutions in field theory. For a $\lambda \varphi^4$ theory we show, both by means of perturbation theory and rigorously by means of theorems of the K.A.M. type, that the homogeneous minisuperspace sector is indeed stable for positive values of the parameters that define the field theory.
Jr.
Minzoni Antonmaria A.
Rosenbaum Marcos
Ryan Michael P.
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