WEYL ASYMPTOTICS FOR MAGNETIC SCHRÖDINGER OPERATORS AND DE GENNES' BOUNDARY CONDITION
2008 ◽
Vol 20
(08)
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pp. 901-932
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Keyword(s):
The Self
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This paper is concerned with the discrete spectrum of the self-adjoint realization of the semi-classical Schrödinger operator with constant magnetic field and associated with the de Gennes (Fourier/Robin) boundary condition. We derive an asymptotic expansion of the number of eigenvalues below the essential spectrum (Weyl-type asymptotics). The methods of proof rely on results concerning the asymptotic behavior of the first eigenvalue obtained in a previous work [10].
2020 ◽
Vol 23
(3)
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2016 ◽
Vol 28
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pp. 126-139
2017 ◽
Vol 21
(6)
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pp. 135-140
2013 ◽
Vol 12
(6)
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pp. 2393-2408
2017 ◽
Vol 22
(1)
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pp. 37-51
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2018 ◽
Vol 68
(1)
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pp. 422-440
Keyword(s):
2019 ◽
Vol 47
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pp. 306-323