A Stochastic Description of Tunneling in Quantum Mechanics

Vitaly Vanchurin

German A. Skorobogatov, Sergei I. Svertilov

Eric A. Carlen

Kunio Yasue

By adopting Nelson's stochastic framework of quantum mechanics (i.e., the stochastic quantization), a time-dependent description of tunneling phenomena is developed. As a simple model, tunnel effect of a one-dimensional quantum mechanical system with bistable potential is analyzed in much detail.

Walter Lehr

Millard Baublitz

The mean energy of tunneling electrons at low temperatures may provide a very simple fundamental test between quantum mechanics and a class of alternative theories, the classical stochastic theories, since quantum theory and the stochastic alternatives differ in their descriptions of tunneling.