Studien zur Altägyptischen Kultur Nr. 25 (1998) - Abstracts

Abstracts der Artikel zu SAK 25 (1998). Die Autoren sind: A. Awadalla, J. Dieleman, S. Eichler, J.M. Galán, L. Gestermann, H. Goedicke, H. Jenni, L. Kákosy/ A.M. Moussa, D. Kessler, N. Kloth, K. Lohmann, L.D. Morenz, M. El-Noubi, D. Polz, H. El-Saady, L.K. Sabbahy, A. Spalinger, V. Vasiljevic und S. Wiebach-Koepke

Torus Knot and Minimal Model

We reveal an intimate connection between the quantum knot invariant for torus knot T(s,t) and the character of the minimal model M(s,t), where s and t are relatively prime integers. We show that Kashaev's invariant, i.e., the N-colored Jones polynomial at the N-th root of unity, coincides with the Eichler integral of the character.Comment: 10 page

The Proton Distribution Function in Weakly Magnetized Turbulent Plasmas

We calculate the proton distribution function due to heating by subsonic (Alfvenic) turbulence in a weakly magnetized collisionless plasma. The distribution function is nonthermal. For non-relativistic energies, it is an exponential of the magnitude of the proton velocity. For ultra-relativistic energies, it can be characterized as a power law with a momentum-dependent slope.Comment: 7 pages, submitted to Ap