15 research outputs found
Reactions of Sodium Bis(N-aryliminophosphoranyl)alkanides with Halide-Bridged Platinum(II) and Palladium(II) Phosphine Dimers Affording Four-Membered M-N-P-C Metallacycles and Orthometalated Platinum(II) and Palladium(II) Complexes
Get PDFQuasi-Normal Modes of Schwarzschild Anti-De Sitter Black Holes: Electromagnetic and Gravitational Perturbations
Get PDFWe study the quasi-normal modes (QNM) of electromagnetic and gravitational
perturbations of a Schwarzschild black hole in an asymptotically Anti-de Sitter
(AdS) spacetime. Some of the electromagnetic modes do not oscillate, they only
decay, since they have pure imaginary frequencies. The gravitational modes show
peculiar features: the odd and even gravitational perturbations no longer have
the same characteristic quasinormal frequencies. There is a special mode for
odd perturbations whose behavior differs completely from the usual one in
scalar and electromagnetic perturbation in an AdS spacetime, but has a similar
behavior to the Schwarzschild black hole in an asymptotically flat spacetime:
the imaginary part of the frequency goes as 1/r+, where r+ is the horizon
radius. We also investigate the small black hole limit showing that the
imaginary part of the frequency goes as r+^2. These results are important to
the AdS/CFT conjecture since according to it the QNMs describe the approach to
equilibrium in the conformal field theory.Comment: 2 figure
Versatile coordination behaviour of Methylene-Bridged Bis(phosphinimines) and related compounds to Platinum (ii) and Palladium(II)
No full textVersatile coordination behaviour of Methylene-Bridged Bis(phosphinimines) and related compounds to Platinum (ii) and Palladium(II)
No full textMonodentate s-N and Bidentate s-N,s-N' Coordination of 1,1-Bis(N-p-tolylimino)-diphenylphosphoranyl)ethane, CHCH3(PPh2=NC6H4-4-CH3)2, to Platinum(II)
Get PDFVersatile coordination behavior of (N-aryliminophosphoranyl)(thiophosphoranyl)methane and its anion to platinum(II)
No full textReactions of bis(iminophosphoranes) with palladium(II) and platinum(II) dichloride: metal induced tautomerization, orthopalladation and unexpected platinum assisted [2+2] cycloaddition of an aryl-nitrile with a phosphinimine moiety
No full textBinary positive semidefinite matrices and associated integer polytopes
No full textWe consider the positive semidefinite (psd) matrices with binary entries. We give a characterisation of such matrices, along with a graphical representation. We then move on to consider the associated integer polytopes. Several important and well-known integer polytopes (the cut, boolean quadric, multicut and clique partitioning polytopes) are shown to arise as projections of binary psd polytopes. Finally, we present various valid inequalities for binary psd polytopes, and show how they relate to inequalities known for the simpler polytopes mentioned. Along the way, we answer an open question in the literature on the max-cut problem, by showing that the so-called k-gonal inequalities define a polytope
