Perturbation of Quantum Harmonic Oscillator and its effect on Quantum Electromagnetic Field Theory

Here a special case of perturbation in quantum harmonic oscillator is studied. Here we assume the perturbed potential to be a Harmonic Oscillator that has been shifted in the position space.We construct the new creation and annihilation operators for the new Hamiltonian
to find out its energy eigenstates. This paper mainly deals with why the coherent states provide a more complete picture of electric and
magnetic field theory compared to just energy eigenstates. Here we find how our perturbation act as a coherent state generator and adds
a new term in the Hamiltonian. The Perturbation is thought to arise from the only available interaction i.e. observation. The perturbation
also explains how observation leads to coherence of photon states. We will find out how the new perturbation affects the time evolution of
electromagnetic field. The Perturbation is also assumed to be instantaneous and time dependent such that sudden approximation can be
applied in the time evolution of states. We also explain the results of the double slit experiment using our new mathematical model and
thus try to come up with a new model for Quantum Mechanics.