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New method for obtaining complex roots in the semiclassical coherent-state propagator formula

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dc.creator Xavier Jr. Ademir Luix
dc.date 2001
dc.date.accessioned 2013-05-30T01:08:48Z
dc.date.available 2013-05-30T01:08:48Z
dc.date.issued 2013-05-30
dc.identifier http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332001000300018
dc.identifier http://www.doaj.org/doaj?func=openurl&genre=article&issn=01039733&date=2001&volume=31&issue=3&spage=461
dc.identifier.uri http://koha.mediu.edu.my:8181/jspui/handle/123456789/3258
dc.description A semiclassical formula for the coherent-state propagator requires the determination of specific classical paths inhabiting a complex phase-space and governed by a Hamiltonian flux. Such trajectories are constrained to special boundary conditions which render their determination difficult by common methods. In this paper we present a new method based on Runge-Kutta integrator for a quick, easy and accurate determination of these trajectories. Using nonlinear one dimensional systems we show that the semiclassical formula is highly accurate as compared to its exact counterpart. Further, we clarify how the phase of the semiclassical approximation is correctly retrieved during the time evolution.
dc.publisher Sociedade Brasileira de Física
dc.source Brazilian Journal of Physics
dc.title New method for obtaining complex roots in the semiclassical coherent-state propagator formula


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