Harmonic Oscillator Solution Using Momentum Space

Abstract

Quantum mechanical laws are mainly concerned with foundation of energy and probability spatial distribution of micro particles. The work in the momentum probability distribution is very rare, because quantum laws in momentum.space are complex To surpass the difficulty of quantum laws in momentum space, this research starts formulating Schrodinger equation in momentum space. It utilizes this equation to find the momentum probability distribution in momentum space for Harmonic Oscillator. It shows that the infinite momentum is not possible. To check the validity of this equation the spatial operator and the commutation relations were derived. The derived spatial operator in momentum space and the commutation relations are found to be in agreement with that obtained by other standard.methods