62 citations · 276 across the 13 of their papers we have counts for
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math-ph2018★ 8 cited
Interior-Boundary Conditions for Many-Body Dirac Operators and Codimension-1 Boundaries
Julian Schmidt, Stefan Teufel, Roderich Tumulka
We are dealing with boundary conditions for Dirac-type operators, i.e., first order differential operators with matrix-valued coefficients, including in particular physical many-bo…
math-ph2018★ 16 cited
On a Direct Description of Pseudorelativistic Nelson Hamiltonians
Julian Schmidt
Abstract interior-boundary conditions (IBC's) allow for the direct description of the domain and the action of Hamiltonians for a certain class of ultraviolet-divergent models in Q…
math-ph2018★ 34 cited
On Nelson-type Hamiltonians and abstract boundary conditions
Jonas Lampart, Julian Schmidt
We construct Hamiltonians for systems of nonrelativistic particles linearly coupled to massive scalar bosons using abstract boundary conditions. The construction yields an explicit…