On the transmission coefficient for the double delta-function potential embedded in a crystalline lattice

Yanetka, I.

doi:10.1016/s0921-4526(99)00182-9

Cited by 3 publications

(3 citation statements)

References 8 publications

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“…[28]. However, the problem becomes simpler by assuming that the barriers are δ functions with strength g [29]. Then the transmission coefficient near one of the cavity resonances ω C can be written as…”

Section: Jaynes-cummings Modelmentioning

confidence: 99%

Macroscopic quantum electrodynamics - Concepts and applications

Scheel¹,

Buhmann²

2008

Acta Physica Slovaca. Reviews and Tutorials

343

527

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In this article, we review the principles of macroscopic quantum electrodynamics and discuss a variety of applications of this theory to medium-assisted atom-field coupling and dispersion forces. The theory generalises the standard mode expansion of the electromagnetic fields in free space to allow for the presence of absorbing bodies. We show that macroscopic quantum electrodynamics provides the link between isolated atomic systems and magnetoelectric bodies, and serves as an important tool for the understanding of surface-assisted atomic relaxation effects and the intimately connected position-dependent energy shifts which give rise to Casimir-Polder and van der Waals forces. : 42.50.Nn, 42.50.Ct, 34.35.+a, PACS

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Section: Jaynes-cummings Modelmentioning

confidence: 99%

Macroscopic quantum electrodynamics - Concepts and applications

Scheel¹,

Buhmann²

2008

Acta Physica Slovaca. Reviews and Tutorials

343

527

View full text Add to dashboard Cite

show abstract

“…Thus, the applied voltage reduces the constructive interference between the waves in the double delta-barrier. The constructive interference between the waves is also reduced in the asymmetrical double delta--barrier [14]. Generally, the asymmetry reduces the constructive interference [1].…”

Section: Attributes Of the Transmission Coefficientmentioning

confidence: 97%

“…Further, δ(x) is the Dirac delta-function and g is its strength (a positive value of the strength corresponds to a barrier, while a negative value would correspond to a well), Θ(x) is the Heaviside step function (Θ(x) = 0, if x < 0; and Θ(x) = 1, if x > 0), e is the elementary charge, V is the voltage applied to the double delta-barrier, 2a is the width of the double delta-barrier. Evidently, the wave function ϕ(x) is to be sought in the form of plane waves moving from the left to the right and vice versa [5][6][7][8][9][10][11][12][13][14]. Thus,…”

Section: Solution Of the Schrödinger Equationmentioning

confidence: 99%

On Resonant Tunnelling in the Biased Double Delta-Barrier

Yanetka

2009

Acta Phys. Pol. A

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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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Position-defect-induced reflection, trapping, transmission, and resonance in quantum walks

Izaac

Wang

2013

Phys. Rev. A

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On the transmission coefficient for the double delta-function potential embedded in a crystalline lattice

Cited by 3 publications

References 8 publications

Macroscopic quantum electrodynamics - Concepts and applications

Macroscopic quantum electrodynamics - Concepts and applications

On Resonant Tunnelling in the Biased Double Delta-Barrier

Position-defect-induced reflection, trapping, transmission, and resonance in quantum walks

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