Progressively accurate WKB approximations through factorization and successive boost transformations
dc.contributor.author | Joseph Akeyo Omolo | |
dc.date.accessioned | 2020-12-01T07:06:27Z | |
dc.date.available | 2020-12-01T07:06:27Z | |
dc.date.issued | 2015 | |
dc.identifier.uri | https://repository.maseno.ac.ke/handle/123456789/3134 | |
dc.description.abstract | This paper develops a procedure for obtaining progressively improving approximate solutions of the WKB (semiclassical ) model of the stationary Schroedinger equation through factorization and successive boost transformations of the resultant equivalent matrix equation. Each order of approximation provides an amplitude-modulated “plane” wave function specified by a renormalized momentum. A simple binomial expansion of the renormalized momentum allows exact evaluation of the phase accumulation integral for studying basic features of the dynamics in arbitrary potentials. For a linear potential, the probability density profile reveals the expected confinement of the particle within the allowed energy region. | en_US |
dc.publisher | Research gate | en_US |
dc.subject | factorization; matrix form; accuracy levels; boost transformation; renormalized momentum; confinement PACS Nos. +00.; 04.62. + v; 12.39. − x; 12.39.Jh; 12.39.P n; 98.80.Cq; 98.70.V c | en_US |
dc.title | Progressively accurate WKB approximations through factorization and successive boost transformations | en_US |
dc.type | Article | en_US |