ar X iv : m at h - ph / 0 30 70 24 v 1 1 0 Ju l 2 00 3 Naked Singularities in Higher Dimensional Szekeres space - time

ar X iv : m at h - ph / 0 60 70 40 v 1 2 0 Ju l 2 00 6 Invariant Form of BK - factorization and its Applications

ar X iv : 0 70 7 . 33 03 v 1 [ m at h . O A ] 2 3 Ju l 2 00 7 OPERATOR - VALUED FRAMES

ar X iv : 0 70 7 . 19 46 v 1 [ m at h . D G ] 1 3 Ju l 2 00 7 The uniqueness of the helicoid in the Lorentz - Minkowski space

We prove that the Lorentzian helicoid and Enneper’s surface are the unique properly embedded maximal surfaces bounded by a lightlike regular arc of mirror symmetry.

ar X iv : 0 70 4 . 29 36 v 2 [ m at h - ph ] 2 4 Ju l 2 00 7 GENERALIZED MICZ - KEPLER PROBLEMS AND UNITARY HIGHEST WEIGHT MODULES – II

For each integer n ≥ 2, we demonstrate that a 2n-dimensional generalized MICZ-Kepler problem has an g Spin(2, 2n+1) dynamical symmetry which extends the manifest Spin(2n) symmetry. The Hilbert space of bound states is shown to form a unitary highest weight g Spin(2, 2n+1)-module which occurs at the first reduction point in the Enright-Howe-Wallach classification diagram for the unitary highest ...

ar X iv : m at h - ph / 0 20 70 25 v 1 1 9 Ju l 2 00 2 Bound states due to a strong δ interaction supported by a curved surface

We study the Schrödinger operator −∆ − αδ(x − Γ) in L 2 (R 3) with a δ interaction supported by an infinite non-planar surface Γ which is smooth, admits a global normal parameterization, and is asymptotically planar in a suitable sense. We show that for a large enough α > 0 this operator has a non-empty discrete spectrum and derive an asymptotic expansion of the eigenvalues in terms of a " two-...