Classical resolution of black hole singularities via wormholes

In certain extensions of General Relativity, wormholes generated by spherically symmetric electric fields can resolve black hole singularities without necessarily removing curvature divergences. This is shown by studying geodesic completeness, the behavior of time-like congruences going through the divergent region, and by means of scattering of waves off the wormhole. This provides an example of the logical independence between curvature divergences and space-time singularities, concepts very often identified with each other in the literature.ns of curvature divergences in the context of space-time singularities.Comment: 6 pages, 4 figures; several improvements in main body and abstract; final version to appear in Eur. Phys. J.

Exact solutions of effective-mass Schrodinger equations

We outline a general method for obtaining exact solutions of Schr\"{o}dinger equations with a position dependent effective mass and compare the results with those obtained within the frame of supersymmetric quantum theory. We observe that the distinct effective mass Hamiltonians proposed in the literature in fact describe exactly equivalent systems having identical spectra and wave functions as far as exact solvability is concerned. This observation clarifies the Hamiltonian dependence of the band-offset ratio for quantum wells.Comment: 16 pages article in LaTEX (uses standard article.sty). Please check http://www1.gantep.edu.tr/~ozer/ for other studies of Nuclear Physics Group at University of Gaziantep. To appear in Modern Physics Letters