Sharp and Infinite Boundaries in the Path Integral Formalism

Details Sharp and Infinite Boundaries in the Path Integral Formalism Sharp and Infinite Boundaries in the Path Integral Formalism

2011-12-15

arxiv.org/abs/1112.3674v1

Physics

Quantum Physics

9 pages and 1 Figure

Scientific paper

We revisit the analysis of sharp infinite potentials within the path integral formalism using the image method [1]. We show that the use of a complete set of energy eigenstates that satisfy the boundary conditions of an infinite wall precisely generates the propagator proposed in Ref. [1]. We then show the validity of the image method by using supersymmetric quantum mechanics to relate a potential without a sharp boundary to the infinite square well and derive its propagator with an infinite number of image charges. Finally, we show that the image method readily generates the propagator for the half-harmonic oscillator, a potential that has a sharp infinite boundary at the origin and a quadratic potential in the allowed region, and leads to the well known eigenvalues and eigenfunctions.

Affiliated with

Also associated with

No associations

Rating

Sharp and Infinite Boundaries in the Path Integral Formalism does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Sharp and Infinite Boundaries in the Path Integral Formalism, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Sharp and Infinite Boundaries in the Path Integral Formalism will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-136190