Generalized Dirac Oscillator in Cosmic String Space-Time

In this work, the generalized Dirac oscillator in cosmic string space-time is studied by replacing the momentum p(mu) with its alternative p(mu)+m omega beta f(mu)(x(mu)). In particular, the quantumdynamics is considered for the function f(mu)(x(mu)) to be taken asCornell potential, exponential-type potential, and singular potential. For Cornell potential and exponential-type potential, the corresponding radial equations can be mapped into the confluent hypergeometric equation and hypergeometric equation separately. The corresponding eigenfunctions can be represented as confluent hypergeometric function and hypergeometric function. The equations satisfied by the exact energy spectrum have been found. For singular potential, the wave function and energy eigenvalue are given exactly by power series method.