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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-Hörmand…
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 field…