In this review paper we shall give a brief account of some properties of so called point interactions that describe a potentials spatially localized. A different families of one-dimensional point interactions are investigated and then relevant tunneling times are calculated. Than we demonstrate how a bound state in the continuum may be generated applying supersymmetric quantum mechanics. Finally, it is shown how the latter method may be used to tailor phase rigidity of one-dimensional point interactions.
Keywords:
one dimensional point interactions / tunneling times / phase rigidity
Source:
The University Thought - Publication in Natural Sciences, 2016, 6, 1, 84-96
Publisher:
University of Priština - Faculty of Natural Science and Mathematics, Kosovska Mitrovica
TY - JOUR
AU - Kočinac, Saša
PY - 2016
UR - http://TechnoRep.tmf.bg.ac.rs/handle/123456789/3207
AB - In this review paper we shall give a brief account of some properties of so called point interactions that describe a potentials spatially localized. A different families of one-dimensional point interactions are investigated and then relevant tunneling times are calculated. Than we demonstrate how a bound state in the continuum may be generated applying supersymmetric quantum mechanics. Finally, it is shown how the latter method may be used to tailor phase rigidity of one-dimensional point interactions.
PB - University of Priština - Faculty of Natural Science and Mathematics, Kosovska Mitrovica
T2 - The University Thought - Publication in Natural Sciences
T1 - Some properties of one-dimensional point interactions
EP - 96
IS - 1
SP - 84
VL - 6
DO - 10.5937/univtho6-11246
ER -
@article{
author = "Kočinac, Saša",
year = "2016",
abstract = "In this review paper we shall give a brief account of some properties of so called point interactions that describe a potentials spatially localized. A different families of one-dimensional point interactions are investigated and then relevant tunneling times are calculated. Than we demonstrate how a bound state in the continuum may be generated applying supersymmetric quantum mechanics. Finally, it is shown how the latter method may be used to tailor phase rigidity of one-dimensional point interactions.",
publisher = "University of Priština - Faculty of Natural Science and Mathematics, Kosovska Mitrovica",
journal = "The University Thought - Publication in Natural Sciences",
title = "Some properties of one-dimensional point interactions",
pages = "96-84",
number = "1",
volume = "6",
doi = "10.5937/univtho6-11246"
}
Kočinac, S.. (2016). Some properties of one-dimensional point interactions. in The University Thought - Publication in Natural Sciences
University of Priština - Faculty of Natural Science and Mathematics, Kosovska Mitrovica., 6(1), 84-96.
https://doi.org/10.5937/univtho6-11246
Kočinac S. Some properties of one-dimensional point interactions. in The University Thought - Publication in Natural Sciences. 2016;6(1):84-96.
doi:10.5937/univtho6-11246 .
Kočinac, Saša, "Some properties of one-dimensional point interactions" in The University Thought - Publication in Natural Sciences, 6, no. 1 (2016):84-96,
https://doi.org/10.5937/univtho6-11246 . .
