In this paper, we investigate phase rigidity of one-dimensional point interactions. With the aid of supersymmetric quantum mechanics (SUSYQM) we generate family of isospectral potentials describing point interactions. We than demonstrate that for SUSYQM generated bound states in the continuum (BIC) phase rigidity is always zero, while for bound states from discrete part of spectrum phase rigidity may vary from zero to unity, depending on the strength of point interaction.
Keywords:
One-dimensional point interactions / supersymmetry quantum mechanics / phase rigidity
TY - JOUR
AU - Kočinac, Saša
AU - Milanović, Vitomir
PY - 2013
UR - http://TechnoRep.tmf.bg.ac.rs/handle/123456789/2516
AB - In this paper, we investigate phase rigidity of one-dimensional point interactions. With the aid of supersymmetric quantum mechanics (SUSYQM) we generate family of isospectral potentials describing point interactions. We than demonstrate that for SUSYQM generated bound states in the continuum (BIC) phase rigidity is always zero, while for bound states from discrete part of spectrum phase rigidity may vary from zero to unity, depending on the strength of point interaction.
PB - World Scientific Publ Co Pte Ltd, Singapore
T2 - Modern Physics Letters B
T1 - Phase rigidity of point interactions
IS - 1
VL - 27
DO - 10.1142/S0217984913500012
ER -
@article{
author = "Kočinac, Saša and Milanović, Vitomir",
year = "2013",
abstract = "In this paper, we investigate phase rigidity of one-dimensional point interactions. With the aid of supersymmetric quantum mechanics (SUSYQM) we generate family of isospectral potentials describing point interactions. We than demonstrate that for SUSYQM generated bound states in the continuum (BIC) phase rigidity is always zero, while for bound states from discrete part of spectrum phase rigidity may vary from zero to unity, depending on the strength of point interaction.",
publisher = "World Scientific Publ Co Pte Ltd, Singapore",
journal = "Modern Physics Letters B",
title = "Phase rigidity of point interactions",
number = "1",
volume = "27",
doi = "10.1142/S0217984913500012"
}
Kočinac, S.,& Milanović, V.. (2013). Phase rigidity of point interactions. in Modern Physics Letters B
World Scientific Publ Co Pte Ltd, Singapore., 27(1).
https://doi.org/10.1142/S0217984913500012
Kočinac S, Milanović V. Phase rigidity of point interactions. in Modern Physics Letters B. 2013;27(1).
doi:10.1142/S0217984913500012 .
Kočinac, Saša, Milanović, Vitomir, "Phase rigidity of point interactions" in Modern Physics Letters B, 27, no. 1 (2013),
https://doi.org/10.1142/S0217984913500012 . .
