Using the method of path decomposition, the space-time propagator for the one-dimensional symmetric double delta potential is determined and tested on the limiting cases a → 0 (single delta) and β → ∞ (infinite square well), which are exactly obtained.
The solution of Dirac particles confined in a one-dimensional finite square well potential is solved by using the path-integral formalism for Dirac equation. The propagator of the Dirac equation in case of the bounded Dirac particles is obtained by evaluating an appropriate path integral, directly constructed from the Dirac equation. The limit of integration techniques for evaluating path integral is only valid for the piecewise constant potential. Finally, the Dirac propagator is expressed in terms of standard special functions.