Exact path integral solution to the infinite square well

James M. Rejcek, Nail G. Fazleev, John L. Fry

İ. Sökmen

Mark Goodman

The infinite square-well potential in one dimension is solved using Feynman path integration. This solution uses an image point method equivalent to a sum over classical paths.

Kyu Hwang Yeon, Chung‐In Um, Thomas F. George +1 more

The propagator of a charged particle in an infinite square-well potential in one dimension with a constant electric field is solved exactly using Feynman path integration. The wave function of the system is evaluated by the propagator. This wave function depends on time in a way determined by the well size, particle mass and charge, and applied electric field. The uncertainty relation of the system is also obtained by this function.