The R-sigma method provides the time evolution of two dynamical variables extracted from a wave function, namely, the expectation value of the position and the dispersion. It overcomes the Ehrenfest approximation while keeping the Newtonian form of the equations, thus providing the basis for including quantum features into the description of the single-particle dynamics and for extending such features to the collective-transport case. Here the single-particle R-sigma equations are applied to the case of tunnelling, and the results are compared with a full-quantum calculation.
The R-sigma approach to tunneling in nanoscale devices / M., Rudan; A., Marchi; Brunetti, Rossella; AND E., Gnani. - STAMPA. - 110:(2005), pp. 175-178. (Intervento presentato al convegno XIV Int. Conf. n Nonequilibrium Carrier Dynamics in Semiconductors tenutosi a Chicago nel 25-29 july 2005).
The R-sigma approach to tunneling in nanoscale devices
BRUNETTI, Rossella;
2005
Abstract
The R-sigma method provides the time evolution of two dynamical variables extracted from a wave function, namely, the expectation value of the position and the dispersion. It overcomes the Ehrenfest approximation while keeping the Newtonian form of the equations, thus providing the basis for including quantum features into the description of the single-particle dynamics and for extending such features to the collective-transport case. Here the single-particle R-sigma equations are applied to the case of tunnelling, and the results are compared with a full-quantum calculation.
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