Constrained quantization of charged strings in a background B field and g-factors

The Dirac quantization is carried out for a constrained system of an open string with an arbitrary charge at each end in a constant background B field. Noncommutativity reveals to commutators [X, X], [P, P] and also [X, P] at both ends of the string. We consider the dependence on the 'cyclotron frequency' of the charged string. The g-factor of the charged string is also calculated in the framework of our formulation. (author)