Solving Schrödinger Equation for a Particle in One-Dimensional Lattice: An Homotopy Perturbations Approach

dc.creator	Kevkić, Tijana
dc.creator	Stojanović, Vladica
dc.creator	Petković, Dragan
dc.date.accessioned	2024-03-01T13:21:35Z
dc.date.available	2024-03-01T13:21:35Z
dc.date.issued	2019
dc.identifier.issn	1221-1451
dc.identifier.issn	1841-8759 (Online)
dc.identifier.uri	https://jakov.kpu.edu.rs/handle/123456789/1661
dc.description.abstract	In this paper, a novel approach for an approximate solving Schrödinger equation for a particle in the one-dimensional lattice with the periodic potential is described. This approach, based on the homotopy perturbation method (HPM), gives an approximate analytic solution which has a high degree of convergence, and at the same time high degree of accuracy. The convergence of the HPM is examined and formally confirmed. In addition, the efficiency of the HPM method is illustrated in two examples.	sr
dc.language.iso	en	sr
dc.publisher	Bucuresti : Editura Academiei Romane	sr
dc.rights	restrictedAccess	sr
dc.source	Romanian Reports in Physics	sr
dc.subject	Homotopy perturbations	sr
dc.subject	Schrödinger equation	sr
dc.subject	periodic potential	sr
dc.subject	wave function	sr
dc.subject	periodic boundary conditions	sr
dc.subject	approximation	sr
dc.title	Solving Schrödinger Equation for a Particle in One-Dimensional Lattice: An Homotopy Perturbations Approach	sr
dc.type	article	sr
dc.rights.license	ARR	sr
dc.citation.volume	71
dc.citation.issue	1
dc.citation.spage	101
dc.identifier.rcub	https://hdl.handle.net/21.15107/rcub_jakov_1661
dc.type.version	publishedVersion	sr