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6 papers · 1 filter
Black hole solutions in 2+1 dimensions
Viqar Husain
We give circularly symmetric solutions for null fluid collapse in 2+1-dimensional Einstein gravity with a cosmological constant. The fluid pressure and energy density are r…
Exact solutions for null fluid collapse
Viqar Husain
Exact non-static spherically symmetric solutions of the Einstein equations for a null fluid source with pressure and density related by are given. The metr…
ARBITRARY-ORDER HERMITE GENERATING FUNCTIONS FOR COHERENT AND SQUEEZED STATES
Michael Martin Nieto, D. Rodney Truax
For use in calculating higher-order coherent- and squeezed- state quantities, we derive generalized generating functions for the Hermite polynomials. They are given by $\sum_{n=0}^…
Holstein-Primakoff/Bogoliubov Transformations and the Multiboson System
Michael Martin Nieto, D. Rodney Truax
As an aid to understanding the {\it displacement operator} definition of squeezed states for arbitrary systems, we investigate the properties of systems where there is a Holstein-P…
Elementary gates for quantum computation
A. Barenco, C. H. Bennett, R. Cleve +6
We show that a set of gates that consists of all one-bit quantum gates (U(2)) and the two-bit exclusive-or gate (that maps Boolean values to ) is universal…
A few special ordinal ultrafilters
Claude Laflamme
We prove various results on the notion of ordinal ultrafiters introduced by J. Baumgartner. In particular, we show that this notion of ultrafilter complexity is independent of the…