525 citations · 7.1k across the 109 of their papers we have counts for
114 papers
Smooth, invariant orthonormal basis for singular potential Schroedinger operators
J. Neuser, T. Thiemann
In a recent contribution we showed that there exists a smooth, dense domain for singular potential Schrödinger operators on the real line which is invariant under taking derivative…
Quantum gravity in the triangular gauge
Thomas Thiemann
Vielbeins are necessary when coupling General Relativity (GR) to fermionic matter. This enhances the gauge group of GR to include local Lorentz transformations. In view of a reduce…
Properties of a smooth, dense, invariant domain for singular potential Schroedinger operators
Thomas Thiemann
Schrödinger operators often display singularities at the origin, the Coulomb problem in atomic physics or the various matter coupling terms in the Friedmann-Robertson-Walker proble…
Hamiltonian Theory: Dynamics
Thomas Thiemann, Kristina Giesel
This chapter focuses on the status of the implementation of the dynamics in the canonical version of Loop Quantum Gravity (LQG). Concretely this means to provide a mathematical mea…
Exact quantisation of U(1) quantum gravity via exponentiation of the hypersurface deformation algebroid
T. Thiemann
The U(1) model for 3+1 Euclidian signature general relativity is an interacting, generally covariant field theory with two physical polarisations that shares many features of L…
Non-degenerate metrics, hypersurface deformation algebra, non-anomalous representations and density weights in quantum gravity
T. Thiemann
A basic assumption in classical GR is that the metric field is nowhere degenerate in spacetime. In particular the induced metric on Cauchy surfaces must be nowhere degenerate. It i…