TY - JOUR

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

AU - Hara, Ko H.Ichiro

AU - Ohba, Ichiro

N1 - Funding Information:
This work is partially supported by the grant-in-aid for COE Research and that for Priority Area B (#763), MEXT, and by the Waseda University Grant for Special Research Project.

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

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U2 - 10.1007/s12043-002-0133-1

DO - 10.1007/s12043-002-0133-1

M3 - Conference 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

T2 - Proceedings of the Second Winter Institute on Foundations of Quantum Theory and Quantum Optics

Y2 - 2 January 2002 through 11 January 2002

ER -