Dirichlet and Neumann eigenvalues for half-plane magnetic Hamiltonians
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 …
half-plane with Dirichlet (respectively, Neumann) boundary conditions, and let Hℓ:= H0, ℓ-V …
Eigenvalue asymptotics in a twisted waveguide
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 …
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 …
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 …
↦-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 …
perturbed by a symmetric matrix-valued electric potential V whose coe fficients decay fast …
[HTML][HTML] Spectrum of the Iwatsuka Hamiltonian at thresholds
We consider the bi-dimensional Schrödinger operator with unidirectionally constant
magnetic field, H 0, sometimes known as the “Iwatsuka Hamiltonian”. This operator is …
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 …
boundary conditions is considered. Low energy currents flowing along the boundary are …
Sharp trace asymptotics for a class of -magnetic operators
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 …
2D magnetic Schrödinger operator on a domain (with Dirichlet boundary conditions) in a …
[HTML][HTML] Scattering in twisted waveguides
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 …
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 …
with a Dirichlet boundary condition, H 0, and a decaying electric perturbation V. We study …