Stochastic Approach to the Tunnel Effect

Takeo Tomomura, 貴明 橋本

Anedio Ranfagni, R. Ruggeri, A. Agresti

E. Etim

Naoki Yamamoto, Takehiro Suzuki, T. Hashimoto

In Nelson's theory. quantum mechanical trajectory of a particle is described in terms of a stochastic process instead of a wave function. This stochastic process enables us to trace the position of a quantum particle. We study the trajectories for the superposition of plane wave functions and for tunneling effects.

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.