Derivation of Klein – Gordon Equation for Frictional Medium

The expression for a wave function in a conducting medium together with relativistic energy momentum relation is used to derive Klien - Gordon equation for frictional medium. This equation reduces to the ordinary Klein- Gordon equation in free space. For good conducted lasing is possible. The amplification coefficient is proportional to conductivity

Quantum Heat Flow Model for Heat Flow in Some Nanotubes

Using Schrodinger equation in a fractional medium a useful expression for heat flow through Nano tubes has been found. Fortunately, this equation resembles  that obtained by Moran Wang etal, and Hai- Dong Wang teal.   the ordinary thermal conductivity is constant. The effective thermal conductivity temperature dependent resembles that obtained for carbon Nano tubes and Boron Nitride Nano tubes. It is also finite at low temperature which also conforms with experimental data for carbon and Boron. Since Nano materials are described by quantum lows, this new model is thus more suitable for Nano tubes, as for as it is derived using quantum laws