Effective operators on an attractive magnetic edge

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

Effective operators on an attractive magnetic edge. / Fournais, Soren; Helffer, Bernard; Kachmar, Ayman; Raymond, Nicolas.

In: Journal de l'Ecole Polytechnique - Mathematiques, Vol. 10, 2023, p. 917-944.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Fournais, S, Helffer, B, Kachmar, A & Raymond, N 2023, 'Effective operators on an attractive magnetic edge', Journal de l'Ecole Polytechnique - Mathematiques, vol. 10, pp. 917-944. https://doi.org/10.5802/jep.236

APA

Fournais, S., Helffer, B., Kachmar, A., & Raymond, N. (2023). Effective operators on an attractive magnetic edge. Journal de l'Ecole Polytechnique - Mathematiques, 10, 917-944. https://doi.org/10.5802/jep.236

Vancouver

Fournais S, Helffer B, Kachmar A, Raymond N. Effective operators on an attractive magnetic edge. Journal de l'Ecole Polytechnique - Mathematiques. 2023;10:917-944. https://doi.org/10.5802/jep.236

Author

Fournais, Soren ; Helffer, Bernard ; Kachmar, Ayman ; Raymond, Nicolas. / Effective operators on an attractive magnetic edge. In: Journal de l'Ecole Polytechnique - Mathematiques. 2023 ; Vol. 10. pp. 917-944.

Bibtex

@article{0351dce4153d404bae181744d1995799,

title = "Effective operators on an attractive magnetic edge",

abstract = "The semiclassical Laplacian with discontinuous magnetic field is considered in two dimensions. The magnetic field is sign changing with exactly two distinct values and is discontinuous along a smooth closed curve, thereby producing an attractive magnetic edge. Various accurate spectral asymptotics are established by means of a dimensional reduction involving a microlocal phase space localization allowing to deal with the discontinuity of the field.",

keywords = "discontinuous magnetic field, Magnetic Laplacian, semiclassical analysis, spectrum",

author = "Soren Fournais and Bernard Helffer and Ayman Kachmar and Nicolas Raymond",

year = "2023",

doi = "10.5802/jep.236",

language = "English",

volume = "10",

pages = "917--944",

journal = "Journal de l'Ecole Polytechnique - Mathematiques",

issn = "2429-7100",

publisher = "Ecole Polytechnique",

}

RIS

TY - JOUR

T1 - Effective operators on an attractive magnetic edge

AU - Fournais, Soren

AU - Helffer, Bernard

AU - Kachmar, Ayman

AU - Raymond, Nicolas

PY - 2023

Y1 - 2023

N2 - The semiclassical Laplacian with discontinuous magnetic field is considered in two dimensions. The magnetic field is sign changing with exactly two distinct values and is discontinuous along a smooth closed curve, thereby producing an attractive magnetic edge. Various accurate spectral asymptotics are established by means of a dimensional reduction involving a microlocal phase space localization allowing to deal with the discontinuity of the field.

AB - The semiclassical Laplacian with discontinuous magnetic field is considered in two dimensions. The magnetic field is sign changing with exactly two distinct values and is discontinuous along a smooth closed curve, thereby producing an attractive magnetic edge. Various accurate spectral asymptotics are established by means of a dimensional reduction involving a microlocal phase space localization allowing to deal with the discontinuity of the field.

KW - discontinuous magnetic field

KW - Magnetic Laplacian

KW - semiclassical analysis

KW - spectrum

UR - http://www.scopus.com/inward/record.url?scp=85161024089&partnerID=8YFLogxK

U2 - 10.5802/jep.236

DO - 10.5802/jep.236

M3 - Journal article

AN - SCOPUS:85161024089

VL - 10

SP - 917

EP - 944

JO - Journal de l'Ecole Polytechnique - Mathematiques

JF - Journal de l'Ecole Polytechnique - Mathematiques

SN - 2429-7100

ER -

ID: 358718519