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44 papers · 1 filter
Quantum conjugacy classes of simple matrix groups
A. Mudrov
Let be a simple complex classical group and $\g$ its Lie algebra. Let $\U_\hbar(\g)$ be the Drinfeld-Jimbo quantization of the universal enveloping algebra $\U(\g)$. We constru…
Estimation of pure qubits on circles
Samuel L. Braunstein, Sibasish Ghosh, Simone Severini
Gisin and Popescu [PRL, 83, 432 (1999)] have shown that more information about their direction can be obtained from a pair of anti-parallel spins compared to a pair of parallel spi…
Image states in metal clusters
Patrick Rinke, Kris Delaney, P. Garcia-Gonzalez +1
The existence of image states in small clusters is shown, using a quantum-mechanical many-body approach. We present image state energies and wave functions for spherical jellium cl…
Quantum Energy Inequalities in two-dimensional conformal field theory
Christopher J. Fewster, Stefan Hollands
Quantum energy inequalities (QEIs) are state-independent lower bounds on weighted averages of the stress-energy tensor, and have been established for several free quantum field mod…
p-Nuclearity in a New Perspective
Christopher J. Fewster, Izumi Ojima, Martin Porrmann
In this paper we try to settle some confused points concerning the use of the notion of p-nuclearity in the mathematical and physical literature, pointing out that the nuclearity i…
A Mass Transference Principle and the Duffin-Schaeffer conjecture for Hausdorff measures
Victor Beresnevich, Sanju Velani
A Hausdorff measure version of the Duffin-Schaeffer conjecture in metric number theory is introduced and discussed. The general conjecture is established modulo the original conjec…