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|Type:||Artigo de periódico|
|Title:||Semiclassical coherent-state propagator via path integrals with intermediate states of variable width|
de Aguiar, MAM
|Abstract:||We derive a semiclassical approximation for the coherent state propagator <z'e(-iHt/(h) over bar)\z(')> using a path integral formulation in which the intermediate coherent states can have arbitrary widths. Our semiclassical formula involves complex trajectories of the smoothed Hamiltonian H(q,p,b)=<z\(H) over cap \z> where b, the width of the coherent state \z>, is a free function that can be chosen conveniently. The generality of this formalism enables us to derive a semiclassical approximation which contains, as particular cases, other similar approximations known in the literature, providing a natural link between them. We present numerical results showing that the semiclassical propagation can be very sensitive to the choice of b and we suggest an energy dependent value b=b(E) that results in considerable improvement over other choices. This value for the width will be generally different from the widths sigma(') or sigma(') of the initial and final states \z(')> and \z(')>.|
|Editor:||American Physical Soc|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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