Some spectral applications in physics

In this MSc Thesis, we have searched to establish a correlations between Beer-Lambert's Equation and spectral theory of mathematical applications of. Spectral theory has 3 parts: Point spectrum, continuous spectrum and background (or residual) spectrum. Based on the beer lambert equation, finite space solutions are observed as point spectrum. Spectral theory is used for solving the infinite dimensional equations. The other application of beer lambert equation is is named as mass attenuation coefficient of Biomaterials as seen A=KC. In this equation, C; percent concentrate of elements in Biomaterials, K; mass attenuation coefficient of elements in Biomaterials. We search for correlations between these two equations as seen I=I_0 e^(-μt) and A=KC. The method includes the point spectrum applications of beer lambert equation, which is used for experimental purposes, for linear systems with finite dimensions. The spectral approach can be explained by linear system when there is no solution. Based on the previous studies from literature, this linear equation system for biomaterials measured experimentally in order to make a comparison. By doing this we confirm the acceptability of the method.