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8 papers · 1 filter
Metric Lie algebras with maximal isotropic centre
Ines Kath, Martin Olbrich
We investigate a certain class of solvable metric Lie algebras. For this purpose a theory of twofold extensions associated to an orthogonal representation of an abelian Lie algebra…
A positive radial product formula for the Dunkl kernel
Margit Rösler
It is an open conjecture that generalized Bessel functions associated with root systems have a positive product formula for non-negative multiplicity parameters of the associated D…
Finding Low-Temperature States with Parallel Tempering, Simulated Annealing and Simple Monte Carlo
J. J. Moreno, H. G. Katzgraber, Alexander K. Hartmann
Monte Carlo simulation techniques, like simulated annealing and parallel tempering, are often used to evaluate low-temperature properties and find ground states of disordered syste…
Asymptotic Abelianness and Braided Tensor C*-Categories
Detlev Buchholz, Sergio Doplicher, Giovanni Morchio +2
By introducing the concepts of asymptopia and bi-asymptopia, we show how braided tensor C*-categories arise in a natural way. This generalizes constructions in algebraic quantum fi…
Continuous integral kernels for unbounded Schroedinger semigroups and their spectral projections
Kurt Broderix, Hajo Leschke, Peter Müller
By suitably extending a Feynman-Kac formula of Simon [Canadian Math. Soc. Conf. Proc, 28 (2000), 317-321], we study one-parameter semigroups generated by (the negative of) rather g…
Reaction matrix for Dirichlet billiards with attached waveguides
Holger Schanz
The reaction matrix of a cavity with attached waveguides connects scattering properties to properties of a corresponding closed billiard for which the waveguides are cut off by str…