Regensburg 2013 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 7: Poster I

DY 7.6: Poster

Monday, March 11, 2013, 17:30–19:30, Poster C

Simulation of a particle in a one-dimensional double-well potential using stochastic mechanics — •Jeanette Köppe and Wolfgang Paul — Institute of Physics, Martin-Luther-Universität Halle-Wittenberg, Germany

It was shown that the well-known Schrödinger equation is equivalent to a conservative Brownian motion [1]. This concept enables to investigate the duration of quantum-mechanical processes, hence there is the opportunity to directly study particle dynamics.

Using Nelson's interpretation of quantum mechanics, we simulate the tunneling process of a particle in a one-dimensional double-well potential to demonstrate its predictive power. In particular, we determine the mean first passage time needed to cross the barrier, which is equal to the tunneling time in quantum mechanics, and study its dependence on the width and the height of the barrier. The respective results are compared to those calculated by ``normal'' quantum mechanics.

[1] E. Nelson, Phys. Rev. 150, 1079-1085 (1966)