Matt's Blog

Tue May 16 08:34:51 BST 2006

  • [physics/0605113]

    • Title: The Modern FPGA as Discriminator, TDC and ADC
    • Authors: Gary S. Varner
    • Abstract: Recent generations of Field Programmable Gate Arrays (FPGAs) have become indispensible tools for complex state machine control and signal processing, and now routinely incorporate CPU cores to allow execution of user software code. At the same time, their exceptional performance permits low-power implementation of functionality previously the exclusive domain of dedicated analog electronics. Specific examples presented here use FPGAs as discriminator, time-to-digital (TDC) and analog-to-digital converter (ADC). All three cases are examples of instrumentation for current or future astroparticle experiments.
  • [quant-ph/0605115]

    • Title: General recursive solution for one dimensional quantum potentials
    • Authors: Sérgio L. Morelhão, André V. Perrotta
    • Abstract: A generalization and further simplification of the method proposed by S.A. Shakir [Am. J. Phys. \textbf{52}, 845 (1984)] to solve bound eigenvalues of the Schr\"odinger equation is presented. In one-dimensional problems, this generalization leads to a set of extremely efficient recursive equations for computing wave functions of any given potential. The recursive procedure is very simple and it is general, providing accurate solutions not only for bound states but also for scattering and resonant states, as demonstrated here for a few examples.

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