3 papers
math.SP2026
Szegö limit theorem and Heisenberg Laplacian
Jiyu Fan, Ari Laptev
The aim of this paper is to obtain a version of the classical Szegö limit theorem, where instead of the operator of second derivative on a circle we consider the Heisenberg-Hörma…
math.AP2026
Time dependent Schrödinger equation for harmonic oscillator in the Aharonov-Bohm magnetic field
Jiyu Fan, Ari Laptev
We construct an approximation of the kernel of the solution of the time dependent Schrödinger equation whose Hamiltonian is a 2D harmonic oscillator in Aharonov-Bohm magnetic fiel…
math.SP2025
Eigenvalue lower bounds through a generalized inradius
Rupert L. Frank, Ari Laptev, Durvudkhan Suragan
Lieb has shown a lower bound on the smallest Dirichlet eigenvalue of the Laplace operator in terms of a generalized inradius. We derive similar bounds for Robin eigenvalues, for ei…