The scaling of the density of states in systems with resonance states

Physics – Condensed Matter – Other Condensed Matter

Scientific paper

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Presented in the Workshop on Quantum Nonstationary Systems (Brasilia- 2009)

Scientific paper

10.1088/0031-8949/82/03/038104

Resonance states of a two-electron quantum dot are studied using a variational expansion with both real basis-set functions and complex scaling methods. We present numerical evidence about the critical behavior of the density of states in the region where there are resonances. The critical behavior is signaled by a strong dependence of some features of the density of states with the basis-set size used to calculate it. The resonance energy and lifetime are obtained using the scaling properties of the density of states

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