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Implementation of filter method to solve the Kronig-Penney model

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Abstract

This paper investigates the solution of Schrödinger equation for Kronig-Penney potential, by using our newly developed filter method (Phys. Rev E 96(3), 033302 (2017)). The method enables us to obtain energy spectrum and their corresponding eigen function, for various number of lattices, width of lattice, width ratio between potential barrier and potential well, and the height of barrier. It was obtained that the numerical results well agree with the analytic solutions.

Original languageEnglish
Title of host publicationConference on Theoretical Physics and Nonlinear Phenomena, CTPNP 2019
Subtitle of host publicationExcursion from Vacuum to Condensed Matter
EditorsHusin Alatas, Bum-Hoon Lee, Agus Purwanto, Laksana Tri Handoko, Eny Latifah, Umar Mohideen, Andrivo Rusydi, Hari Wisodo, Markus Diantoro, Arif Hidayat, Ahmad Taufiq, Tasrief Surungan, Norhayati Ahmad, Suruati Sufian, Ardian Nata Atmaja, Imam Fachruddin, Bobby Eka Gunara, Mirza Satriawan, Albert Sulaiman
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735419933
DOIs
Publication statusPublished - 18 May 2020
Event2019 Conference on Theoretical Physics and Nonlinear Phenomena: Excursion from Vacuum to Condensed Matter, CTPNP 2019 - Malang, East Java, Indonesia
Duration: 9 Oct 201910 Oct 2019

Publication series

NameAIP Conference Proceedings
Volume2234
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference2019 Conference on Theoretical Physics and Nonlinear Phenomena: Excursion from Vacuum to Condensed Matter, CTPNP 2019
Country/TerritoryIndonesia
CityMalang, East Java
Period9/10/1910/10/19

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