Quantum mechanics is one of the branches of physics and is a fundamental theory which explains the nature of atoms and subatomic particles at the smallest scale of energy.In this mechanics, physical problems are solved by algebraic and analytic methods. By applying Laplace Transform we can find the general solutions of one dimensional Schrodinger’s time - independent wave equation for a particle in an infinite square well potential. In this paper, we will discuss the Eigen energy values and Eigen functions of a particle in an infinite square well potential. We will find that general solutions (Eigen functions) of one dimensional Schrodinger’s time - independent wave equation for a particle in an infinite square well potential have very interesting characteristics that each Eigen function is associated with a particular value of energy (Eigen energy value) of the particle confined inside an infinite square well potential.

Keywords: Eigen functions, Eigen values, infinite square well