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Gaussian representation of extended quantum states

Carvalho, Andre; Kenfack, A; Toscano, F; Rost, J.M.; Ozorio de Almeida, A M


Excited energy eigenstates and their superpositions typically exhibit a fine oscillatory structure near caustics. Semiclassical theory accesses these, but depends on detailed geometrical knowledge of the caustics. Here we show that a finite placement of coherent states on the classical region efficiently fits such extended states, reproducing structures that are much finer than the Gaussian width of the basis states. An extended state, evolved such that it becomes fully distinguishable from the...[Show more]

CollectionsANU Research Publications
Date published: 2011
Type: Journal article
Source: Physics Letters A
DOI: 10.1016/j.physleta.2011.10.029


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