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  1. 2 Acta Physica Polonica A

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  1. 1 2009

  2. 1 2000

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  1. 2 Yanetka I.

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On the Transmission Coefficient for the Double δ'-Function Potential

100%
Yanetka I.
Acta Physica Polonica A
|
2000
|
vol. 97
|
issue 6
1053-1060
EN
The unbound-state solution of the Schrödinger equation is examined for the potential that is defined as the sum of two δ'-functions of non-equal strengths. The analytical expression for the transmission coefficient is derived from the solution. The transmission coefficient has an absolute maximum at the zero wave number. Further, the transmission coefficient is shown to exhibit relative maxima and minima. Moreover, it is proved that the transmission coefficient in its relative maxima is larger and in its relative minima is smaller than the transmission coefficient for the corresponding single δ'-function potential.
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On Resonant Tunnelling in the Biased Double Delta-Barrier

100%
Yanetka I.
Acta Physica Polonica A
|
2009
|
vol. 116
|
issue 6
1059-1066
EN
The solution of the one-dimensional Schrödinger wave equation is presented for the potential-energy function that describes a double delta-barrier under the application of a constant electrical field perpendicular to it. The transfer matrix technique is employed to determine the transmission coefficient in an analytical form. Some attributes of the transmission coefficient are established. The transmission coefficient is shown to exhibit maxima and minima, the conditions for maxima and minima in the transmission coefficient are discussed. The current-voltage characteristic of the biased double delta-barrier is calculated numerically. It is found to exhibit the same oscillatory behaviour as the transmission coefficient when the voltage applied to the double delta-barrier is increased. The width of the double delta-barrier is shown to modulate the peak-to-valley ratio in the current-voltage characteristic.
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