Effect Of Friction and Diffusion On Lasing process

Abstract

Quantum mechanics is a physical theory dealing with the behavior of matter and waves on the scale of atoms and subatomic particles. The aim of this work is to use quantum mechanics to study the effect of friction on optical properties of matter namely lasing process. The research methodology is based on using quantum postulates and the notion of energy in the presence of friction to derive the quantum laws that determine lasing process in the presence of friction. In this study Schrodinger equation was accounted for the effect of medium friction on the spatial evolution of the quantum system. Byconsidering electrons as vibrating strings, the solution of harmonic oscillator equation for resistive medium, showed that the electron mass is quantized. By solving new Schrodinger equation, the wave function is shown to be spatially affected by friction. Therefore the lasing can take place due to the fact that the frictional effect of the incident beam excite atoms to emit coherent photons. The effect of friction was also obtained within the framework of klein - Gordon equation, the wave function shows the possibility of lasing and the amplification factor depends on medium conductivity. This research shows the possibility of lasing in the presence of friction with the framework of quantum laws