TIME DEPENDENT SCHRÖDINGER EQUATION FOR TWO LEVEL SYSTEMS TO FIND TRAVERSE RELAXATION TIME

Transverse relaxation time is important in magnetic resonance imaging (MRI). It is important to construct new models to find new parameters that control imaging quality. In this work Schrodinger Equation in energy space for two level systems was used to find transverse relaxation time.  By suggesting sine and cosine beside complex solutions a useful expression for transverse relaxation time was found. When electric interaction dominate, i.e. for dielectric materials the transverse relaxation time depends on the electric dipole moment. However the magnetic materials having magnetic spin and magnetic dipole moment, it depends on the internal field as well as spin quantum number.