[Turkmath:7298] Gebze Teknik Üniversitesi Matematik Bölümü Genel Seminerleri

[GTU Mathematics]

Sayın Liste Üyeleri,

Gebze Teknik Üniversitesi (GTU) Matematik Bölümü Genel Seminerleri
kapsamında, 10 Ekim  Cuma günü saat 14:00'te Dr. Cemile Nur (Yalova
 Üniversitesi) bir seminer verecektir. Seminerin detayları aşağıda olup tüm
ilgilenenler davetlidir.

Saygılarımızla.

Dear all,

There will be a seminar in Gebze Technical University (GTU) on 10th of
October by Dr. Cemile Nur  (Yalova University).

Time and place: At 14:00 in Department of Mathematics, Lecture Amphi 2

*Title:* Estimates for the Bloch Eigenvalues of the One-dimensional
Schrödinger Operator and the Kronig-Penney Model

*Abstract: *We provide explicit estimates for the small and large
eigenvalues of the one-dimensional Schrödinger operator L(q) with a
periodic, real and locally integrable potential q. For this purpose, we
first write explicitly the first and second terms of the asymptotic
formulas for large periodic and antiperiodic eigenvalues and update these
asymptotic formulas for the Kronig-Penney model. Then, we give estimates
for the small periodic and antiperiodic eigenvalues and the lengths of the
first gaps in the spectrum of L(q) in the case of the Kronig-Penney model.
Moreover, we provide error analysis and present a numerical example.
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