Electron tunnelling phase time and dwell time through an associated delta potential barrier

doi:10.1088/1009-1963/14/1/038

Abstract

Abstract The electron tunnelling phase time

τ^{p}

and dwell time

τ_{D}

through an associated delta potential barrier

U (x) = ξ δ (x)

are calculated and both are in the order of 10

^{- 17} - 10^{- 16}

s. The results show that the dependence of the phase time on the delta barrier parameter

ξ

can be described by the characteristic length

l_{c} = ℏ^{2} / m_{e} ξ

and the characteristic energy

E_{c} = m_{e} ξ^{2} / ℏ^{2}

of the delta barrier, where

m_{e}

is the electron mass,

l_{c}

and

E_{c}

are assumed to be the effective width and height of the delta barrier with

l_{c} E_{c} = ξ

, respectively. It is found that

τ_{D}

reaches its maximum and

τ_{D} = τ^{p}

as the energy of the tunnelling electron is equal to

E_{c}

/2, i.e. as

l_{c} = λ_{D B}

,

λ_{D B}

is de Broglie wave length of the electron.

Keywords: associated delta potential barrier tunnelling phase times tunnelling dwell times charac-teristic length characteristic energy

Received: 15 October 2003
Revised: 20 July 2004
Accepted manuscript online:

PACS:	7340G
	7210B
	0365B

Fund: Project supported by the Shenzhen Research and Development Programme on Science and Technology

Cite this article:

Bai Er-Juan (白尔隽), Shu Qi-Qing (舒启清) Electron tunnelling phase time and dwell time through an associated delta potential barrier 2005 Chinese Physics 14 208

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