Limiting absorption principle and scattering matrix for Dirac operators with δ-shell interactions

A strategy for self-adjointness of Dirac operators: Applications to the MIT bag model and delta-shell interactions

Ourmières-Bonafos, T.
Vega, L.

December 2016

We develop an approach to prove self-adjointness of Dirac operators with boundary or transmission co...

Scattering Theory for the Dirac Operator with a Long-Range Electromagnetic Potential

Gâtel, Y
Yafaev, D

August 2001

AbstractWe consider the Dirac operator with a long-range potential V(x). Scalar, pseudo-scalar and v...

General $\delta$-shell interactions for the two-dimensional Dirac operator: self-adjointness and approximation

Cassano, Biagio
Lotoreichik, Vladimir
Mas, Albert
Tušek, Matěj

February 2021

In this work we consider the two-dimensional Dirac operator with general local singular interactions...

Limiting absorption principle and scattering matrix for Dirac operators with δ-shell interactions

Behrndt, Jussi
Holzmann, Markus
Mantile, Andrea
Posilicano, Andrea

January 2020

We provide a limiting absorption principle for self-adjoint realizations of Dirac operators with ele...

Limiting absorption principle for some long range perturbations of Dirac systems at threshold energies

Boussaid, Nabile
Golénia, Sylvain

June 2009

We establish a limiting absorption principle for some long range perturbations of the Dirac systems ...

Dirac operators with Lorentz scalar shell interactions

Holzmann, Markus
Ourmières-Bonafos, Thomas
Pankrashkin, Konstantin

January 2018

International audienceThis paper deals with the massive three-dimensional Dirac operator coupled wit...

On the Global Limiting Absorption Principle for Massless Dirac Operators

Carey, Alan
Gesztesy, Fritz
Kaad, Jens
Levitina, Galina
Nichols, Roger
Potapov, Denis
Sukochev, Fedor A

March 2019

We prove a global limiting absorption principle on the entire real line for free, massless Dirac ope...

The relativistic spherical $\delta$-shell interaction in $\mathbb{R}^3$: spectrum and approximation

Mas A.
Pizzichillo F.

August 2017

This note revolves on the free Dirac operator in $\mathbb{R}^3$ and its $\delta$-shell interaction w...

LIMITING ABSORPTION PRINCIPLE FOR DIRAC OPERATORS WITH A PERTURBED WIGNER-VON NEUMANN POTENTIAL

MBAREK, AIMAN
Ben Hafsia, Sana

October 2022

Making use of the localised Putnam theory developed in [GJ1], applied in [JM],..., we show the limit...

Two-dimensional Dirac operators with singular interactions supported on closed curves

Behrndt, Jussi
Holzmann, Markus
Ourmières-Bonafos, Thomas
Pankrashkin, Konstantin

November 2020

International audienceThis paper is devoted to the study of the two-dimensional Dirac operator with ...

On the approximation of the $\delta$-shell interaction for the 3-D Dirac operator

Zreik, Mahdi

September 2023

We consider the three-dimensional Dirac operator coupled with a combination of electrostatic and Lor...

The relativistic spherical d-shell interaction in R3: Spectrum and approximation

Mas Blesa, Albert

This note revolves on the free Dirac operator in R3 and its d-shell interaction with electrostatic p...

Resonances of Dirac Operators

Kungsman, Jimmy

January 2014

This thesis consists of a summary of four papers dealing with resonances of Dirac operators on Eucli...

To the Spectral Theory of One-Dimensional Matrix Dirac Operators with Point Matrix Interactions

Budyka V.S.
Malamud M.M.
Posilicano A.

We investigate one-dimensional (2p × 2p)-matrix Dirac operators DX,α and DX,β with point matrix inte...

Singular Perturbation of the Dirac Hamiltonian

Pizzichillo F.

December 2017

This thesis is devoted to the study of the Dirac Hamiltonian perturbed by delta-type potentials and ...

A strategy for self-adjointness of Dirac operators: Applications to the MIT bag model and delta-shell interactions

Ourmières-Bonafos, T.
Vega, L.

December 2016

We develop an approach to prove self-adjointness of Dirac operators with boundary or transmission co...

Scattering Theory for the Dirac Operator with a Long-Range Electromagnetic Potential

Gâtel, Y
Yafaev, D

August 2001

AbstractWe consider the Dirac operator with a long-range potential V(x). Scalar, pseudo-scalar and v...

General $\delta$-shell interactions for the two-dimensional Dirac operator: self-adjointness and approximation

Cassano, Biagio
Lotoreichik, Vladimir
Mas, Albert
Tušek, Matěj

February 2021

In this work we consider the two-dimensional Dirac operator with general local singular interactions...

Limiting absorption principle and scattering matrix for Dirac operators with δ-shell interactions

Behrndt, Jussi
Holzmann, Markus
Mantile, Andrea
Posilicano, Andrea

January 2020

We provide a limiting absorption principle for self-adjoint realizations of Dirac operators with ele...

Limiting absorption principle for some long range perturbations of Dirac systems at threshold energies

Boussaid, Nabile
Golénia, Sylvain

June 2009

We establish a limiting absorption principle for some long range perturbations of the Dirac systems ...

Dirac operators with Lorentz scalar shell interactions

Holzmann, Markus
Ourmières-Bonafos, Thomas
Pankrashkin, Konstantin

January 2018

International audienceThis paper deals with the massive three-dimensional Dirac operator coupled wit...

On the Global Limiting Absorption Principle for Massless Dirac Operators

Carey, Alan
Gesztesy, Fritz
Kaad, Jens
Levitina, Galina
Nichols, Roger
Potapov, Denis
Sukochev, Fedor A

March 2019

We prove a global limiting absorption principle on the entire real line for free, massless Dirac ope...

The relativistic spherical $\delta$-shell interaction in $\mathbb{R}^3$: spectrum and approximation

Mas A.
Pizzichillo F.

August 2017

This note revolves on the free Dirac operator in $\mathbb{R}^3$ and its $\delta$-shell interaction w...

LIMITING ABSORPTION PRINCIPLE FOR DIRAC OPERATORS WITH A PERTURBED WIGNER-VON NEUMANN POTENTIAL

MBAREK, AIMAN
Ben Hafsia, Sana

October 2022

Making use of the localised Putnam theory developed in [GJ1], applied in [JM],..., we show the limit...

Two-dimensional Dirac operators with singular interactions supported on closed curves

Behrndt, Jussi
Holzmann, Markus
Ourmières-Bonafos, Thomas
Pankrashkin, Konstantin

November 2020

International audienceThis paper is devoted to the study of the two-dimensional Dirac operator with ...

On the approximation of the $\delta$-shell interaction for the 3-D Dirac operator

Zreik, Mahdi

September 2023

We consider the three-dimensional Dirac operator coupled with a combination of electrostatic and Lor...

The relativistic spherical d-shell interaction in R3: Spectrum and approximation

Mas Blesa, Albert

This note revolves on the free Dirac operator in R3 and its d-shell interaction with electrostatic p...

Resonances of Dirac Operators

Kungsman, Jimmy

January 2014

This thesis consists of a summary of four papers dealing with resonances of Dirac operators on Eucli...

To the Spectral Theory of One-Dimensional Matrix Dirac Operators with Point Matrix Interactions

Budyka V.S.
Malamud M.M.
Posilicano A.

We investigate one-dimensional (2p × 2p)-matrix Dirac operators DX,α and DX,β with point matrix inte...

Singular Perturbation of the Dirac Hamiltonian

Pizzichillo F.

December 2017

This thesis is devoted to the study of the Dirac Hamiltonian perturbed by delta-type potentials and ...

A strategy for self-adjointness of Dirac operators: Applications to the MIT bag model and delta-shell interactions

Ourmières-Bonafos, T.
Vega, L.

December 2016

We develop an approach to prove self-adjointness of Dirac operators with boundary or transmission co...

Scattering Theory for the Dirac Operator with a Long-Range Electromagnetic Potential

Gâtel, Y
Yafaev, D

August 2001

AbstractWe consider the Dirac operator with a long-range potential V(x). Scalar, pseudo-scalar and v...

General $\delta$-shell interactions for the two-dimensional Dirac operator: self-adjointness and approximation

Cassano, Biagio
Lotoreichik, Vladimir
Mas, Albert
Tušek, Matěj

February 2021

In this work we consider the two-dimensional Dirac operator with general local singular interactions...

Limiting absorption principle and scattering matrix for Dirac operators with δ-shell interactions

Abstract

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Limiting absorption principle and scattering matrix for Dirac operators with δ-shell interactions

Abstract

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