Journal of Southwest University

Solution of a Particle's Motion in a Three-Dimensional Infinite Square Potential Well Using Path Integral

Wei Ji-jue

Published Jan 1, 2009• 0 citations

Abstract

A path integral method to calculate the propagator for a particle moving in a three-dimensional infinite square well is presented and then its wave function and energy eigenvalue are derived.

Related papers

Path-integral solution of a particle's motion in a two-dimensional infinite square potential well

Yuan Tong-quan

The path integral technique is used to calculate the propagator of a particle moving in a two-dimensional infinite square well.Its wave function and energy eigenvalue are obtained.

College PhysicsJan 1, 20090 citations

Solution of a particle's motion in a one-dimensional infinite square potential well using path integral

Chen Hao

A method to calculate the propagator for a particle moring in a one-dimensional infinite square well using Feynman's path integral is presented.Wave function and energy spectrum are derived from the propaga- tor,which manifest the equivalence between path integral and traditional methods.Meanwhile,a interesting mathematical function,Jacobi theta functionθ_3,is introduced.

College PhysicsJan 1, 20070 citations

Path integral solution to a charged particle in an infinite square-well potential with a constant electric field

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.

Canadian Journal of PhysicsSep 1, 19942 citations

The Dirac Propagator for One-Dimensional Finite Square Well

P. Kongkhuntod, Nattapong Yongram

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.

Journal of Modern PhysicsJan 1, 20200 citations

Path integral solution to the infinite square well

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.

American Journal of PhysicsSep 1, 198135 citations

Path integral solution of a three-dimensional three-body problem

S. Atağ, Ö. Çakır

The exact path integral solution of the three-particle system interacting pairwise by harmonic potential and an inverse square potential is presented in three dimensions for some special cases.

European Journal of PhysicsMar 1, 19912 citations