M. Tušek

activity

20072022

most citedOn the harmonic oscillator on the Lobachevsky plane

3 citations · 4 across the 4 of their papers we have counts for

collaborators

Showing math-phShow all

3 papers · 1 filter

math-ph2022

Non-self-adjoint relativistic point interaction in one dimension

Lukáš Heriban, Matěj Tušek

The one-dimensional Dirac operator with a singular interaction term which is formally given by $A \otimes ∣ δ_{0} ⟩ ⟨ δ_{0} ∣$ , where $A$ is an arbitrary $2 \times 2$ matrix and $δ…

math-ph2008

On the Spectrum of a Quantum Dot with Impurity in the Lobachevsky Plane

P. Stovicek, M. Tusek

A model of a quantum dot with impurity in the Lobachevsky plane is considered. Relying on explicit formulae for the Green function and the Krein $Q -$ function which have been derive…

math-ph2007★ 3 cited

On the harmonic oscillator on the Lobachevsky plane

P. Stovicek, M. Tusek

We introduce the harmonic oscillator on the Lobachevsky plane with the aid of the potential $V (r) = (a^{2} ω^{2} /4) s inh (r / a)^{2}$ where $a$ is the curvature radius and $r$ is the geodesic d…