J. Derezi'nski

activity

20042021

most citedBosonic quadratic Hamiltonians

46 citations · 164 across the 19 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.FA2021

Perturbed Bessel operators

Jan Dereziński, Jérémy Faupin

We study perturbed Bessel operators $L_{m^{2}} = - \partial_{x}^{2} + (m^{2} - \frac{1}{4}) \frac{1}{x ^{2}} + Q (x)$ on $L^{2}] 0, \infty [$ , where $m \in C$ and $Q$ is a complex locally integra…

math-ph2021★ 3 cited

Holomorphic family of Dirac-Coulomb Hamiltonians in arbitrary dimension

Jan Dereziński, Błażej Ruba

We study massless 1-dimensional Dirac-Coulomb Hamiltonians, that is, operators on the half-line of the form $D_{ω,λ}:=\begin{bmatrix}-\frac{λ+ω}{x}&-\partial_x \\ \partial_x & -\fr…

math-ph2021★ 16 cited

On the domains of Bessel operators

Jan Dereziński, Vladimir Georgescu

We consider the Schrödinger operator on the halfline with the potential $(m^{2} - \frac{1}{4}) \frac{1}{x ^{2}}$ , often called the Bessel operator. We assume that $m$ is complex. We study the do…