Düsseldorf 2007 – scientific programme
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P: Fachverband Plasmaphysik
P 22: Poster
P 22.40: Poster
Thursday, March 22, 2007, 16:30–18:30, Poster A
Quantum potential for confined charged particles in nonequilibrium — Andrea Fromm1, •Michael Bonitz1, and James Dufty2 — 1Institut für Theoretische Physik und Astrophysik, Universität Kiel, Leibnizstr. 15, 24098 Kiel — 2Physics Department, University of Florida, Gainesville
In thermal equilibrium the idea to describe quantum systems by retaining the classical structure of the equations, but replacing the original potential by an effective potential, that takes into account quantum effects, has been successfully used for external potentials, see e.g. [1], and for pair potentials, see e.g [2]. From the calculated quantum potential follows an quantum mechanical force, that can be applied in classical simulations like molecular dynamic, see e.g. [3]. Here we extend this concept to systems in nonequilibrium [4]. We consider an electron system in a weakly inhomogeneous confinement potential and a strong electric field. Using the equation of motion for the nonequilibrium Green's functions, an equation for the quantum potential is derived and soluted by iteration. In the classical spectral function the original potential is replaced by the quantum potential and the resulting spectral function is analysed for the special case of a harmonic potential and a constant electric field. The appropriate quantum mechanical density of states is calculated.
[1] D. Bohm, Phys. Rev. 85, 166 and 180 (1986). [2] A.V. Filinov, M. Bonitz, W. Ebeling, J. Phys. A: Math. Gen. 36 (2003). [3] A.V. Filinov, V.O. Golubnychiy, M. Bonitz, W. Ebeling, J.W. Dufty, Phys. Rev. E 70 (1986). [4] M. Bonitz, J.W. Dufty, Cond. Matt. Phys. 7 (2004).