Exact diagonalization of the D-dimensional spatially confined quantum harmonic oscillator

Autor:	Kunle Adegoke, Olatinwo Adenike, Otobrise Henry, Funmi Akintujoye, Tiamiyu Afees
Jazyk:	angličtina
Rok vydání:	2016
Předmět:	matrix Hamiltonian quantum harmonic oscillator direct diagonalization Science
Zdroj:	Kragujevac Journal of Science, Vol 2016, Iss 38, Pp 29-40 (2016)
Druh dokumentu:	article
ISSN:	1450-9636 2466-5509
DOI:	10.5937/KgJSci1638029K
Popis:	In the existing literature various numerical techniques have been developed to quantize the confined harmonic oscillator in higher dimensions. In obtaining the energy eigenvalues, such methods often involve indirect approaches such as searching for the roots of hypergeometric functions or numerically solving a differential equation. In this paper, however, we derive an explicit matrix representation for the Hamiltonian of a confined quantum harmonic oscillator in higher dimensions, thus facilitating direct diagonalization.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/0605800ce1d248259896563767a8ffd4 Zobrazit plný text záznamu View record in DOAJ