Jonas Lampart

activity

20102026

most citedOn Nelson-type Hamiltonians and abstract boundary conditions

34 citations · 223 across the 28 of their papers we have counts for

collaborators

Showing 2014Show all

3 papers · 1 filter

math.AP2014★ 1 cited

Convergence of nodal sets in the adiabatic limit

Jonas Lampart

We study the nodal sets of non-degenerate eigenfunctions of the Laplacian on fibre bundles $π : M \to B$ in the adiabatic limit. This limit consists in considering a family $G_\v…

math-ph2014★ 18 cited

Generalised Quantum Waveguides

Stefan Haag, Jonas Lampart, Stefan Teufel

We study general quantum waveguides and establish explicit effective Hamiltonians for the Laplacian on these spaces. A conventional quantum waveguide is an $ε$ -tubular ne…

math-ph2014★ 9 cited

The adiabatic limit of Schrödinger operators on fibre bundles

Jonas Lampart, Stefan Teufel

We consider Schrödinger operators $H = - Δ_{g_{ε}} + V$ on a fibre bundle $M \to π B$ with compact fibres and a metric $g_{ε}$ that blows up directions perpend…