SPECTRAL ASYMPTOTICS FOR MAGNETIC SCHRÖDINGER OPERATOR WITH SLOWLY VARYING POTENTIAL

Dimassi, Mouez; Yazbek, Hawraa; Watanabe, Takuya

doi:https://doi.org/10.18910/92417

SPECTRAL ASYMPTOTICS FOR MAGNETIC SCHRÖDINGER OPERATOR WITH SLOWLY VARYING POTENTIAL

Dimassi, Mouez; Yazbek, Hawraa; Watanabe, Takuya

Osaka Journal of Mathematics, 2023, 60(3), 709-731

アクセス数:137件（2026-11-11 15:52 集計）

固定URL: https://doi.org/10.18910/92417

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タイトル	SPECTRAL ASYMPTOTICS FOR MAGNETIC SCHRÖDINGER OPERATOR WITH SLOWLY VARYING POTENTIAL
著者	著者名 Dimassi, Mouez
	著者名 Yazbek, Hawraa
	NRID 1000080458009 1000080458009 著者名 Watanabe, Takuya
抄録	Consider the Schrödinger operator with constant magnetic field and smooth potential V : H(ϵ) = H + V(ϵx, ϵy), H = D＾2_x + (D_y + μx)², (x, y) ∈ Ω_d, with Dirichlet boundary conditions. Here Ω_d = Π^d_<j=1>] − a_j, a_j[×ℝ^d_y. The spectral properties of two operators H and H(ϵ) are investigated. For ϵ small enough, we study the effect of the slowly varying potential V(ϵx, ϵy). In particular, we derive asymptotic trace formula and we give an asymptotic expansion in powers of ϵ of the spectral shift function corresponding to (H(ϵ), H).
出版者	Osaka University and Osaka Metropolitan University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	60(3)
ページ	709-731
刊行年月	2023-07
言語	英語
ハンドルURL	https://hdl.handle.net/11094/92417
DOI	https://doi.org/10.18910/92417
PISSN	00306126
NCID	AA00765910
アクセス権	open access
出版タイプ	Version of Record
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 60, Number 3 （2023-7）

資源タイプ	紀要論文
ローカル資源タイプ	紀要論文
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Osaka Journal of Mathematics. 2023, 60(3), p. 709-731
DC.title	SPECTRAL ASYMPTOTICS FOR MAGNETIC SCHRÖDINGER OPERATOR WITH SLOWLY VARYING POTENTIAL
DC.creator	Dimassi, Mouez
	Yazbek, Hawraa
	Watanabe, Takuya
DC.publisher	Osaka University and Osaka Metropolitan University, Departments of Mathematics
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2023-07
DCTERMS.abstract	Consider the Schrödinger operator with constant magnetic field and smooth potential V : H(ϵ) = H + V(ϵx, ϵy), H = D＾2_x + (D_y + μx)², (x, y) ∈ Ω_d, with Dirichlet boundary conditions. Here Ω_d = Π^d_<j=1>] − a_j, a_j[×ℝ^d_y. The spectral properties of two operators H and H(ϵ) are investigated. For ϵ small enough, we study the effect of the slowly varying potential V(ϵx, ϵy). In particular, we derive asymptotic trace formula and we give an asymptotic expansion in powers of ϵ of the spectral shift function corresponding to (H(ϵ), H).
DC.identifier	10.18910/92417
DC.format	92417
citation_title	SPECTRAL ASYMPTOTICS FOR MAGNETIC SCHRÖDINGER OPERATOR WITH SLOWLY VARYING POTENTIAL
citation_author	Dimassi, Mouez
	Yazbek, Hawraa
	Watanabe, Takuya
citation_publisher	Osaka University and Osaka Metropolitan University, Departments of Mathematics
citation_language	英語
citation_date	2023-07
citation_journal_title	Osaka Journal of Mathematics
citation_volume	60
citation_issue	3
citation_firstpage	709
citation_lastpage	731
citation_public_url	https://hdl.handle.net/11094/92417
citation_doi_detail	10.18910/92417
citation_doi	https://doi.org/10.18910/92417

SPECTRAL ASYMPTOTICS FOR MAGNETIC SCHRÖDINGER OPERATOR WITH SLOWLY VARYING POTENTIAL

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