Quantum mechanics on the half-line using path integrals

  title={Quantum mechanics on the half-line using path integrals},
  author={Todd Elton Clark and Ralph Menikoff and David H. Sharp},
We study the Feynman path-integral formalism for the constrained problem of a free particle moving on the half-line. It is shown that the effect of the boundary condition at the origin can be incorporated into the path integral by a simple modification of the action. The small-time behavior of the Green's function can be obtained from the stationary-phase evaluation of our expression for the path integral, which in this case includes contributions from both the direct and reflected classical… CONTINUE READING