Dirichlet and Neumann eigenvalues for half-plane magnetic Hamiltonians

V Bruneau, P Miranda, G Raikov - Reviews in Mathematical Physics, 2014 - World Scientific
Let H0, D (respectively, H0, N) be the Schrödinger operator in constant magnetic field on the
half-plane with Dirichlet (respectively, Neumann) boundary conditions, and let Hℓ:= H0, ℓ-V …

Eigenvalue asymptotics in a twisted waveguide

P Briet, H Kovařík, G Raikov… - Communications in Partial …, 2009 - Taylor & Francis
We consider a twisted quantum wave guide ie, a domain of the form Ωθ:= r θ ω× ℝ where
ω⊂ ℝ2 is a bounded domain, and r θ= r θ (x 3) is a rotation by the angle θ (x 3) depending …

[HTML][HTML] A model of charged particle on the flat Möbius strip in a magnetic field

IY Popov - Наносистемы: физика, химия, математика, 2023 - cyberleninka.ru
A model of charged particle on the flat Möbius strip in a magnetic field – тема научной статьи по
электротехнике, электронной технике, информационным технологиям читайте бесплатно …

Eigenvalue counting function for Robin Laplacians on conical domains

V Bruneau, K Pankrashkin, N Popoff - The Journal of Geometric Analysis, 2018 - Springer
We study the discrete spectrum of the Robin Laplacian Q^ Ω _ α Q α Ω in L^ 2 (Ω) L 2 (Ω), u
↦-Δ u,\quad D_n u= α u on ∂ Ω u↦-Δ u, D nu= α u on∂ Ω, where D_n D n is the outer unit …

Low energy asymptotics of the spectral shift function for Pauli operators with nonconstant magnetic fields

G Raikov - Publications of the Research Institute for Mathematical …, 2010 - ems.press
We consider the 3D Pauli operator with nonconstant magnetic field B of constant direction,
perturbed by a symmetric matrix-valued electric potential V whose coe fficients decay fast …

[HTML][HTML] Spectrum of the Iwatsuka Hamiltonian at thresholds

P Miranda, N Popoff - Journal of Mathematical Analysis and Applications, 2018 - Elsevier
We consider the bi-dimensional Schrödinger operator with unidirectionally constant
magnetic field, H 0, sometimes known as the “Iwatsuka Hamiltonian”. This operator is …

Magnetic quantum currents in the presence of a Neumann wall

N Raymond, É Soccorsi - Journal of Mathematical Physics, 2023 - pubs.aip.org
The Schrödinger operator with a constant magnetic field on a half-plane with Neumann
boundary conditions is considered. Low energy currents flowing along the boundary are …

Sharp trace asymptotics for a class of -magnetic operators

HD Cornean, S Fournais, RL Frank… - Annales de l'Institut …, 2013 - numdam.org
In this paper we prove a two-term asymptotic formula for the spectral counting function for a
2D magnetic Schrödinger operator on a domain (with Dirichlet boundary conditions) in a …

[HTML][HTML] Scattering in twisted waveguides

P Briet, H Kovařík, G Raikov - Journal of Functional Analysis, 2014 - Elsevier
We consider a twisted quantum waveguide, ie a domain of the form Ω θ:= r θ ω× R where
ω⊂ R 2 is a bounded domain, and r θ= r θ (x 3) is a rotation by the angle θ (x 3) depending …

[HTML][HTML] Threshold singularities of the spectral shift function for a half-plane magnetic Hamiltonian

V Bruneau, P Miranda - Journal of Functional Analysis, 2018 - Elsevier
We consider the Schrödinger operator with constant magnetic field defined on the half-plane
with a Dirichlet boundary condition, H 0, and a decaying electric perturbation V. We study …