Y. Kordyukov

activity

19952026

most citedMagnetic Wells in Dimension Three

27 citations · 202 across the 64 of their papers we have counts for

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Showing 2025Show all

3 papers · 1 filter

math.SP2025

Eigenvalue distribution in gaps of the essential spectrum of the Bochner-Schrödinger operator

Yuri A. Kordyukov

The Bochner-Schrödinger operator $H_{p} = \frac{1}{p} Δ^{L^{p}} + V$ on high tensor powers $L^{p}$ of a Hermitian line bundle $L$ on a Riemannian manifold $X$ of bounded geometry is studied un…

math.SP2025

Some results on semiclassical spectral analysis of magnetic Schrödinger operators

Yuri A. Kordyukov

In our recent papers, we studied semiclassical spectral problems for the Bochner-Schrödinger operator on a manifold of bounded geometry. We survey some results of these papers in t…

math.DG2025

Semiclassical trace formula for the Bochner-Schrödinger operator

Yuri A. Kordyukov

We study the semiclassical Bochner-Schrödinger operator $H_{p} = \frac{1}{p ^{2}} Δ^{L^{p} \otimes E} + V$ on tensor powers $L^{p}$ of a Hermitian line bundle $L$ twisted by a Hermitian vector…