Now showing items 1-2 of 2

    • Ong, Beng Seong (Texas A&M University, 2006-10-30)
      In this dissertation, we consider some spectral problems of optical waveguide and quantum graph theories. We study spectral problems that arise when considerating optical waveguides in photonic band-gap (PBG) materials. ...
    • Wilson, Justin (2007-07-14)
      We calculate the vacuum energy in quantum graphs. Vacuum energy arose in quantum physics but has an independent mathematical interest as a functional carrying information about the eigenvalue spectrum of a system. A quantum ...