  In this study we explain the role of applied magnetic field in inelastic
conduction properties of a Quantum Dot coupled with an oscillator . In the
presence of strong applied magnetic field coulomb blockade effects become weak
due to induced Zeeman splitting in spin degenerate eigen states of Quantum
Dot.By contacting Quantum Dot by identical metallic leads tunneling rates of
spin down and spin up electrons between Quantum Dot and electrodes will be
symmetric. For symmetric tunneling rates of spin down and spin up electrons
onto Quantum Dot, first oscillator get excited by spin down electrons and then
spin up elctrons could excite it further. Where as average energy transferred
to oscillator coupled with Quantum Dot by spin down electrons will further
increase by average energy transferred by spin up electrons to oscillator. Here
we have also discussed that with increasing Quantum Dot and electrodes coupling
strength phononic side band peaks start hiding up, which happens because with
increasing tunneling rates electronic states of Quantum Dot start gettting
broadened.
