Solving the Half-Infinite Potential Well Problem via the Application of Matrix Method

This paper adds up how the matrix method can be used for solving the one-dimensional time-independent Schrodinger's equation for some specific potential energy variation like half-infinite potential well. The matrix method is illustrated to obtain solution of the time-independent Schrodinger's equation for half-infinite potential well, which is generally done by ordinary algebraic and analytical methods. The transcendental equation determining the discrete eigenvalues for bound state and the corresponding eigenwave functions are obtained by the time-independent Schrodinger's equation for half-infinite potential well via the application of matrix method.