20 citations · 66 across the 4 of their papers we have counts for
7 papers
Coherent states, quantum gravity and the Born-Oppenheimer approximation, III: Applications to loop quantum gravity
Alexander Stottmeister, Thomas Thiemann
In this article, the third of three, we analyse how the Weyl quantisation for compact Lie groups presented in the second article of this series fits with the projective-phase space…
Coherent states, quantum gravity and the Born-Oppenheimer approximation, II: Compact Lie Groups
Alexander Stottmeister, Thomas Thiemann
In this article, the second of three, we discuss and develop the basis of a Weyl quantisation for compact Lie groups aiming at loop quantum gravity-type models. This Weyl quantisat…
Coherent states, quantum gravity and the Born-Oppenheimer approximation, I: General considerations
Alexander Stottmeister, Thomas Thiemann
This article, as the first of three, aims at establishing the (time-dependent) Born-Oppenheimer approximation, in the sense of space adiabatic perturbation theory, for quantum syst…
The microlocal spectrum condition, initial value formulations and background independence
Alexander Stottmeister, Thomas Thiemann
We analyze the implications of the microlocal spectrum/Hadamard condition for states in a (linear) quantum field theory on a globally hyperbolic spacetime in the context of a (…
Structural aspects of loop quantum gravity and loop quantum cosmology from an algebraic perspective
Alexander Stottmeister, Thomas Thiemann
We comment on structural properties of the algebras underlying loop quantum gravity and loop quantum cosmology, especially the representation theory, relat…
On a partially reduced phase space quantisation of general relativity conformally coupled to a scalar field
Norbert Bodendorfer, Alexander Stottmeister, Andreas Thurn
The purpose of this paper is twofold: On the one hand, after a thorough review of the matter free case, we supplement the derivations in our companion paper on 'loop quantum gravit…