### Abstract

We present a numerical investigation of quantum mechanical tunneling process in a time-dependent (fluctuating) barrier using a one dimensional model of Eckart barrier. The tunneling probability is calculated for two cases in which (1) the height of the barrier is undergoing harmonic oscillation with frequency ω and (2) the location of the barrier is undergoing harmonic oscillation with frequency ω. It is observed in both cases that the quantum mechanical tunneling probability exhibits a maximum as a function of the oscillating frequency ω between the low and high frequency limits. The physical origin and process underlying this resonantlike phenomenon are proposed in this paper based on the current model study.

Original language | English (US) |
---|---|

Pages (from-to) | 8628-8632 |

Number of pages | 5 |

Journal | Journal of Chemical Physics |

Volume | 105 |

Issue number | 19 |

State | Published - 1996 |

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### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

*Journal of Chemical Physics*,

*105*(19), 8628-8632.

**Quantum mechanical tunneling through a time-dependent barrier.** / Ge, Jiu Yuan; Zhang, John.

Research output: Contribution to journal › Article

*Journal of Chemical Physics*, vol. 105, no. 19, pp. 8628-8632.

}

TY - JOUR

T1 - Quantum mechanical tunneling through a time-dependent barrier

AU - Ge, Jiu Yuan

AU - Zhang, John

PY - 1996

Y1 - 1996

N2 - We present a numerical investigation of quantum mechanical tunneling process in a time-dependent (fluctuating) barrier using a one dimensional model of Eckart barrier. The tunneling probability is calculated for two cases in which (1) the height of the barrier is undergoing harmonic oscillation with frequency ω and (2) the location of the barrier is undergoing harmonic oscillation with frequency ω. It is observed in both cases that the quantum mechanical tunneling probability exhibits a maximum as a function of the oscillating frequency ω between the low and high frequency limits. The physical origin and process underlying this resonantlike phenomenon are proposed in this paper based on the current model study.

AB - We present a numerical investigation of quantum mechanical tunneling process in a time-dependent (fluctuating) barrier using a one dimensional model of Eckart barrier. The tunneling probability is calculated for two cases in which (1) the height of the barrier is undergoing harmonic oscillation with frequency ω and (2) the location of the barrier is undergoing harmonic oscillation with frequency ω. It is observed in both cases that the quantum mechanical tunneling probability exhibits a maximum as a function of the oscillating frequency ω between the low and high frequency limits. The physical origin and process underlying this resonantlike phenomenon are proposed in this paper based on the current model study.

UR - http://www.scopus.com/inward/record.url?scp=0001070416&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001070416&partnerID=8YFLogxK

M3 - Article

VL - 105

SP - 8628

EP - 8632

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

SN - 0021-9606

IS - 19

ER -