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Monte Carlo method for the Schrödinger equation with an asymmetric periodic potential

D.V. Soldatov

Moscow University Physics Bulletin 2007. 62. N 4. P. 210

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Annotation

A new numerical method is proposed for solving the Cauchy problem for the Schrödinger equation with an asymmetric periodic potential superimposed by a constant electric field. The solution to the Cauchy problem is used to determine the electron’s mean momentum as a function of time, initial conditions, and the applied field. Given an initial state, the mean momentum characterizes the mean current and the conductivity of an asymmetric periodic structure known as the ratchet potential.

Rissian citation:
Д.В. Солдатов.
Метод Монте-Карло для уравнения Шрёдингера в асимметричном периодическом потенциале.
Вестн. Моск. ун-та. Сер. 3. Физ. Астрон. 2007. № 4. С. 8.
Authors
D.V. Soldatov
Department of Quantum Statistics and Field Theory, Faculty of Physics, Moscow State University, Leninskie gory, Moscow, 119992, Russia
Issue 4, 2007

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