  In this work we will investigate how the non-commutativity arises into the
string theory, \textit{i.e.}, how the bosonic string theory attaches to a
D3-brane in the presence of magnetic fields. In order to accomplish the
proposal, we departure from the commutative two-dimensional harmonic
oscillator, which after the application of the general Bopp's shifts Matrix
Method, the non-commutative version of the two-dimensional harmonic oscillator
is obtained. After that, this non-commutative harmonic oscillator will be
mapped into the bosonic string theory in the light cone frame, which it now
appears as a bosonic string theory attached to a D3-brane.
