Generalized Point Interaction and Tunneling Times

Kočinac, S.; Milanović, V.

doi:10.1142/s0217984912500923

Cited by 8 publications

(2 citation statements)

References 33 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We consider the scattering of a quantum particle by point interactions in one dimension. Several authors [15,16,17,18,19,20,21,22,23,24,25,26,27,28] have been investigated the scattering properties by potential barriers made of the Dirac delta functions and its (higher) derivatives. Essential properties of the scattering by a single point interaction parametrized by the U(2) were investigated in [12,14,29,30].…”

Section: Introductionmentioning

confidence: 99%

Resonant transmission in one-dimensional quantum mechanics with two independent point interactions: Full parameter analysis

2017

View full text Add to dashboard Cite

We discuss the scattering of a quantum particle by two independent successive point interactions in one dimension. The parameter space for two point interactions is given by U(2) × U(2), which is described by eight real parameters. We perform an analysis of perfect resonant transmission on the whole parameter space. By investigating the effects of the two point interactions on the scattering matrix of plane wave, we find the condition under which perfect resonant transmission occurs. We also provide the physical interpretation of the resonance condition.

show abstract

Section: Introductionmentioning

confidence: 99%

Resonant transmission in one-dimensional quantum mechanics with two independent point interactions: Full parameter analysis

2017

View full text Add to dashboard Cite

show abstract

“…The general four-parameter family of interactions in one dimension has been used to investigate tunneling times for a non-relativistic particle incident on a single point scatterer [51]. However, in order to generate a richer tunneling structure and to investigate some of the more counterintuitive phenomena associated with tunneling times it is necessary to consider (at least) two point scatterers.…”

Section: Introductionmentioning

confidence: 99%

Double General Point Interactions: Symmetry and Tunneling Times

et al. 2016

View full text Add to dashboard Cite

We consider the one dimensional problem of a non-relativistic quantum particle scattering off a double barrier built from two generalized point interactions (each one characterized as a member of the four parameter family of point interactions). The properties of the double point barrier under parity transformations are investigated, using the distributional approach, and the constraints on the parameters necessary for the interaction to have a well-defined parity are obtained. We show that the limit of zero interbarrier distance of a renormalized odd arrangement with two δ ′ is either trivial or does not exist as a generalized point interaction. Finally, we specialize to double barriers with defined parity, calculate the phase and Salecker-Wigner-Peres clock times and argue that the emergence of the generalized Hartman effect is an artifact of the extreme opaque limit.

show abstract

Aspects of the Modeling of Low Dimensional Quantum Systems

Horing

2015

Low-Dimensional and Nanostructured Materials and Devices

View full text Add to dashboard Cite

Generalized Point Interaction and Tunneling Times

Cited by 8 publications

References 33 publications

Resonant transmission in one-dimensional quantum mechanics with two independent point interactions: Full parameter analysis

Resonant transmission in one-dimensional quantum mechanics with two independent point interactions: Full parameter analysis

Double General Point Interactions: Symmetry and Tunneling Times

Aspects of the Modeling of Low Dimensional Quantum Systems

Contact Info

Product

Resources

About