EXACT SOLUTION OF THE SCHRODINGER EQUATION IN TOPOLOGICALLY MASSIVE SPACETIME

Abstract

We study exact solutions of the Schr ̈odinger equation in a topologically massive space-time. Exact solutions are obtained in terms of the hypergeometric functions. We also obtained the momentum quantization with the help of the condition of the wave function to be bounded. The investigation is performed in the framework of rainbow formalism of the General Relativity Theory (RGT). The quantized momentum is evaluated for different choices of the rainbow functions.