ar X iv : 0 80 8 . 25 16 v 1 [ m at h - ph ] 1 9 A ug 2 00 8 Transmission probabilities and the Miller – Good transformation

ar X iv : 0 80 8 . 25 16 v 2 [ m at h - ph ] 8 J an 2 00 9 Transmission probabilities and the Miller – Good transformation

Transmission through a potential barrier, and the related issue of particle production from a parametric resonance, are topics of considerable general interest in quantum physics. The authors have developed a rather general bound on quantum transmission probabilities, and recently applied it to bounding the greybody factors of a Schwarzschild black hole. In the current article we take a differe...

ar X iv : 0 80 8 . 27 24 v 1 [ m at h - ph ] 2 0 A ug 2 00 8 Bosons in Rapid Rotation ∗

Some recent progress in the mathematical physics of rapidly rotating, dilute Bose gases in anharmonic traps is reviewed.

ar X iv : 0 80 8 . 10 23 v 1 [ qu an t - ph ] 7 A ug 2 00 8 CATEGORICAL QUANTUM MECHANICS

ar X iv : 0 80 8 . 25 12 v 1 [ he p - ph ] 1 9 A ug 2 00 8 Study of highly - excited string states at the Large Hadron Collider

In TeV-scale gravity scenarios with large extra dimensions, black holes may be produced at future colliders. Good arguments have been made for why general relativistic black holes may be just out of reach of the Large Hadron Collider (LHC). However, in weakly-coupled string theory, highly excited string states – string balls – could be produced at the LHC with high rates and decay thermally, no...

ar X iv : 0 80 9 . 01 74 v 1 [ m at h - ph ] 1 S ep 2 00 8 Heisenberg relations in the general case

The Heisenberg relations are derived in a quite general setting when the field transformations are induced by three representations of a given group. They are considered also in the fibre bundle approach. The results are illustrated in a case of transformations induced by the Poincaré group.