79 citations · 81 across the 4 of their papers we have counts for
5 papers · 1 filter
Many-body physics and resolvent algebras
Detlev Buchholz, Jakob Yngvason
Some advantages of the algebraic approach to many body physics, based on resolvent algebras, are illustrated by the simple example of non-interacting bosons which are confined in c…
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…
Arrow of time and quantum physics
Detlev Buchholz, Klaus Fredenhagen
Based on the hypothesis that the (non-reversible) arrow of time is intrinsic in any system, no matter how small, the consequences are discussed. Within the framework of local quant…
Superposition, transition probabilities and primitive observables in infinite quantum systems
Detlev Buchholz, Erling Størmer
The concepts of superposition and of transition probability, familiar from pure states in quantum physics, are extended to locally normal states on funnels of type I facto…
Warped Convolutions, Rieffel Deformations and the Construction of Quantum Field Theories
Detlev Buchholz, Gandalf Lechner, Stephen J. Summers
Warped convolutions of operators were recently introduced in the algebraic framework of quantum physics as a new constructive tool. It is shown here that these convolutions provide…