  Non-relativistic charged open strings coupled with Abelian gauge fields are
quantized in a geometric representation that generalizes the Loop
Representation. The model comprises open-strings interacting through a
Kalb-Ramond field in four dimensions. It is shown that a consistent
geometric-representation can be built using a scheme of ``surfaces and lines of
Faraday'', provided that the coupling constant (the ``charge'' of the string)
is quantized.
