  Non-relativistic charged open strings coupled with Abelian gauge fields are
quantized in a geometric representation that generalizes the Loop
Representation. The model consists of open-strings interacting through a
Kalb-Ramond field in four dimensions. The geometric representation proposed
uses lines and surfaces that can be interpreted as an extension of the picture
of Faraday's lines of classical electromagnetism. This representation results
to be consistent, provided the coupling constant (the "charge" of the string)
is quantized. The Schr\"odinger equation in this representation is also
presented.
