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Resonances for 1D massless Dirac operators. / Iantchenko, Alexei; Korotyaev, Evgeny.

In: Journal of Differential Equations, Vol. 256, No. 8, 2014.

Research output: Contribution to journal › Article

Harvard

Iantchenko, A & Korotyaev, E 2014, 'Resonances for 1D massless Dirac operators', Journal of Differential Equations, vol. 256, no. 8. https://doi.org/10.1016/j.jde.2014.01.031

APA

Iantchenko, A., & Korotyaev, E. (2014). Resonances for 1D massless Dirac operators. Journal of Differential Equations, 256(8). https://doi.org/10.1016/j.jde.2014.01.031

Vancouver

Iantchenko A, Korotyaev E. Resonances for 1D massless Dirac operators. Journal of Differential Equations. 2014;256(8). https://doi.org/10.1016/j.jde.2014.01.031

Author

Iantchenko, Alexei ; Korotyaev, Evgeny. / Resonances for 1D massless Dirac operators. In: Journal of Differential Equations. 2014 ; Vol. 256, No. 8.

BibTeX

@article{833df7e9428d44498038fad1a49bef7e,
title = "Resonances for 1D massless Dirac operators",
abstract = "We consider the 1D massless Dirac operator on the real line with compactly supported potentials. We study resonances as the poles of scattering matrix or equivalently as the zeros of modified Fredholm determinant. We obtain the following properties of the resonances: 1) asymptotics of counting function, 2) estimates on the resonances and the forbidden domain, 3) the trace formula in terms of resonances.",
keywords = "Resonances, 1D Dirac, Zakharov-Shabat",
author = "Alexei Iantchenko and Evgeny Korotyaev",
year = "2014",
doi = "10.1016/j.jde.2014.01.031",
language = "English",
volume = "256",
journal = "Journal of Differential Equations",
issn = "0022-0396",
publisher = "Elsevier",
number = "8",

}

RIS

TY - JOUR

T1 - Resonances for 1D massless Dirac operators

AU - Iantchenko, Alexei

AU - Korotyaev, Evgeny

PY - 2014

Y1 - 2014

N2 - We consider the 1D massless Dirac operator on the real line with compactly supported potentials. We study resonances as the poles of scattering matrix or equivalently as the zeros of modified Fredholm determinant. We obtain the following properties of the resonances: 1) asymptotics of counting function, 2) estimates on the resonances and the forbidden domain, 3) the trace formula in terms of resonances.

AB - We consider the 1D massless Dirac operator on the real line with compactly supported potentials. We study resonances as the poles of scattering matrix or equivalently as the zeros of modified Fredholm determinant. We obtain the following properties of the resonances: 1) asymptotics of counting function, 2) estimates on the resonances and the forbidden domain, 3) the trace formula in terms of resonances.

KW - Resonances

KW - 1D Dirac

KW - Zakharov-Shabat

U2 - 10.1016/j.jde.2014.01.031

DO - 10.1016/j.jde.2014.01.031

M3 - Article

VL - 256

JO - Journal of Differential Equations

JF - Journal of Differential Equations

SN - 0022-0396

IS - 8

ER -

ID: 6995170