Abstract:

The jump conditions and the solution to the fractional Schr[o¨dinger equation with a double δpotential barrierare studied. The corresponding reflection coefficient and transmission coefficient of the particle are given. Also, the relations between fractional and classical Schro¨dinger equation are discussed. The solution to the space fractional Schr[o¨dinger equation with a double δpotential barrier is obtained.

Key words: fractional calculus; space fractional Schro¨dinger equation; double δpotential barrier; jump conditions; momentum representation