• Geometric quantization of integrable systems with hyperbolic singularities 

      [OWP-2009-01] Hamilton, Mark D.; Miranda, Eva (Mathematisches Forschungsinstitut Oberwolfach, 2009)
      We construct the geometric quantization of a compact surface using a singular real polarization coming from an integrable system. Such a polarization always has singularities, which we assume to be of nondegenerate type. ...
    • Heisenberg-Weyl algebra revisited: combinatorics of words and paths 

      [OWP-2009-02] Blasiak, Pawel; Duchamp, Gérard H. E.; Horzela, Andrzej; Penson, Karol A.; Solomon, Allan I. (Mathematisches Forschungsinstitut Oberwolfach, 2009)
      The Heisenberg–Weyl algebra, which underlies virtually all physical representations of Quantum Theory, is considered from the combinatorial point of view. We provide a concrete model of the algebra in terms of paths on a ...
    • Minimal Riesz energy on the sphere for axis-supported external fields 

      [OWP-2009-04] Brauchart, Johann S.; Dragnev, Peter D.; Saff, Edward B. (Mathematisches Forschungsinstitut Oberwolfach, 2009)
      Abstract. We investigate the minimal Riesz $s$-energy problem for positive measures on the d-dimensional unit sphere $\mathbb{S}^d$ in the presence of an external field induced by a point charge, and more generally by ...