### Abstract

The construction of tunneling time distribution by means of Nelson's quantum mechanics was discussed. The statistical properties of the tunneling time distribution were also elaborated. Two characteristic regions were classified by comparing the action κd with ℏ where κ was the imaginary wave number inside the potential defined as κ ≡ √2m(V_{0}-E_{0})/ℏ^{2}. The analysis showed that the relationship between the average and the deviation of tunneling times exhibited wave-particle duality.

Original language | English |
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Pages (from-to) | 405-408 |

Number of pages | 4 |

Journal | Pramana - Journal of Physics |

Volume | 59 |

Issue number | 2 |

Publication status | Published - 2002 Aug |

### Fingerprint

### Keywords

- Tunneling time distribution
- Wave-particle duality

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Pramana - Journal of Physics*,

*59*(2), 405-408.

**Tunneling time distribution by means of Nelson's quantum mechanics and wave-particle duality.** / Hara, KoH'Ichiro; Ohba, Ichiro.

Research output: Contribution to journal › Article

*Pramana - Journal of Physics*, vol. 59, no. 2, pp. 405-408.

}

TY - JOUR

T1 - Tunneling time distribution by means of Nelson's quantum mechanics and wave-particle duality

AU - Hara, KoH'Ichiro

AU - Ohba, Ichiro

PY - 2002/8

Y1 - 2002/8

N2 - The construction of tunneling time distribution by means of Nelson's quantum mechanics was discussed. The statistical properties of the tunneling time distribution were also elaborated. Two characteristic regions were classified by comparing the action κd with ℏ where κ was the imaginary wave number inside the potential defined as κ ≡ √2m(V0-E0)/ℏ2. The analysis showed that the relationship between the average and the deviation of tunneling times exhibited wave-particle duality.

AB - The construction of tunneling time distribution by means of Nelson's quantum mechanics was discussed. The statistical properties of the tunneling time distribution were also elaborated. Two characteristic regions were classified by comparing the action κd with ℏ where κ was the imaginary wave number inside the potential defined as κ ≡ √2m(V0-E0)/ℏ2. The analysis showed that the relationship between the average and the deviation of tunneling times exhibited wave-particle duality.

KW - Tunneling time distribution

KW - Wave-particle duality

UR - http://www.scopus.com/inward/record.url?scp=0036684478&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036684478&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0036684478

VL - 59

SP - 405

EP - 408

JO - Pramana - Journal of Physics

JF - Pramana - Journal of Physics

SN - 0304-4289

IS - 2

ER -