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NON COMMUTATING SPACE

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   In quantum theory, we use two important equations to handle the dynamics of the particles. These are the Schrodinger equation and the Dirac equation [1-5] .In the non relativistic case (v<<c) we use the well known Schrodinger equation to solve the different potential problems such as harmonic oscillator, particle in a box potential step barrier coulomb potential etc. However in the relativistic case (v>>c) we use the Dirac equation different types of scaler and vector potentials. Hence therefore we briefly see the results for central and hydrogen atom potential cases .           Initially the Dirac’s free particle equation was originated in an attempt to express linearly the relativistic quadratic relation between energy and momentum. We introduce a Dirac equation which, besides the momentum, is also linear in the coordinates. We call it the Dirac oscillator because in the non-relativistic limit it becomes a har...