Quantization of Friction For Nano Isolated Particle in a Box

Abstract

A wide variety of materials have mechanical friction . This friction plays an important role in determing the mechanical properties and the electrical properties of the matter . The most popular physical theory that is used to describe the physical properties of matter is quantum mechanics . Recently quantum laws was found to beuncapable of describing the behavior of some new materials like super conductors and nano materials . This may be attributed to the fact that quantum laws have no terms sensitive to friction. This work aims to derive Schrödinger quantum equation having frictional term . This equation is used to solve the problem of particle in a box .The solution shows quantized frictional energy .