Quantum confinement on non-complete Riemannian manifolds

D Prandi, L Rizzi, M Seri - Journal of Spectral Theory, 2018 - ems.press
We consider the quantum completeness problem, ie the problem of confining quantum
particles, on a non-complete Riemannian manifold M equipped with a smooth measure …

Factorizations and Hardy-Rellich-type inequalities

F Gesztesy, L Littlejohn - arXiv preprint arXiv:1701.08929, 2017 - arxiv.org
The principal aim of this note is to illustrate how factorizations of singular, even-order partial
differential operators yield an elementary approach to classical inequalities of Hardy-Rellich …

Tosio Kato's work on non-relativistic quantum mechanics: part 1

B Simon - Bulletin of Mathematical Sciences, 2018 - Springer
We review the work of Tosio Kato on the mathematics of non-relativistic quantum mechanics
and some of the research that was motivated by this. Topics in this first part include analytic …

[PDF][PDF] Radial and logarithmic refinements of Hardy's inequality

F Gesztesy, LL Littlejohn, I Michael… - St. Petersburg Math. J, 2019 - math.lsu.edu
RADIAL AND LOGARITHMIC REFINEMENTS OF HARDY’S INEQUALITY 1. Introduction To
describe the principal aim of this note we start b Page 1 RADIAL AND LOGARITHMIC …

Tosio Kato's work on non-relativistic quantum mechanics, Part 2

B Simon - Bulletin of Mathematical Sciences, 2019 - World Scientific
We review the work of Tosio Kato on the mathematics of non-relativistic quantum mechanics
and some of the research that was motivated by this. Topics in this second part include the …

Deficiency indices for singular magnetic Schrödinger Operators

M Correggi, D Fermi - Milan Journal of Mathematics, 2024 - Springer
Deficiency Indices for Singular Magnetic Schrödinger Operators | Milan Journal of Mathematics
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Factorizations and Hardy–Rellich inequalities on stratified groups

M Ruzhansky, N Yessirkegenov - Journal of Spectral Theory, 2020 - ems.press
In this paper, we obtain Hardy, Hardy–Rellich and refined Hardy inequalities on general
stratified groups and weighted Hardy inequalities on general homogeneous groups using …

Tosio Kato's Work on Non--Relativistic Quantum Mechanics

B Simon - arXiv preprint arXiv:1711.00528, 2017 - arxiv.org
We review the work of Tosio Kato on the mathematics of non--relativistic quantum
mechanics and some of the research that was motivated by this. Topics include analytic and …

A magnetic version of the Smilansky–Solomyak model

D Barseghyan, P Exner - Journal of Physics A: Mathematical and …, 2017 - iopscience.iop.org
We analyze spectral properties of two mutually related families of magnetic Schrödinger
operators, $ H_ {{\rm Sm}}(A)=({\rm i}\nabla+ A){\hspace {0pt}}^ 2+\omega^ 2 y^ 2+\lambda …

Some Hardy type inequalities with Finsler norms

NT Duy - Mathematica Slovaca, 2021 - degruyter.com
Some hardy type inequalities with finsler norms Skip to content Should you have
institutional access? Here's how to get it ... De Gruyter € EUR - Euro £ GBP - Pound $ USD …