5 papers
Power counting in the spectral action matrix model
Eva-Maria Hekkelman, Teun D. H. van Nuland, Jesse Reimann
We derive power counting formulas for ribbon graph amplitudes that were recently independently discovered in two contexts, namely as a generalization of the Kontsevich model, and a…
Multiple operator integrals, pseudodifferential calculus, and asymptotic expansions
Eva-Maria Hekkelman, Edward McDonald, Teun D. H. van Nuland
We push the definition of multiple operator integrals (MOIs) into the realm of unbounded operators, using the pseudodifferential calculus from the works of Connes and Moscovici, Hi…
Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations
Arup Chattopadhyay, Teun D. H. van Nuland, Chandan Pradhan
Given self-adjoint, symmetric and relatively -bounded, and satisfying mild conditions, we show that the Gateaux derivative $$\frac{d^n}{dt^n}…
The basic resolvents of position and momentum operators form a total set in the resolvent algebra
Detlev Buchholz, Teun D. H. van Nuland
Let Q and P be the position and momentum operators of a particle in one dimension. It is shown that all compact operators can be approximated in norm by linear combinations of the…
Classical dynamics of infinite particle systems in an operator algebraic framework
T. D. H. van Nuland, C. J. F. van de Ven
We construct C*-dynamical systems for the dynamics of classical infinite particle systems describing harmonic oscillators interacting with arbitrarily many neighbors on lattices, a…