Application of the variations calculus on energy spectra of shallow hydrogen-like impurities and excitons in GaAs/AlGaAs quantum wells

Autor:	Gubanov, A., Glinskii, G. F.
Rok vydání:	2014
Předmět:	Condensed Matter - Materials Science
Zdroj:	St. Petersburg State Polytechnical University Journal. Physics and Mathematics, v. 3, n. 83, p. 62 (2009)
Druh dokumentu:	Working Paper
Popis:	A variational calculus method is applied for hydrogen-like impurities states and exciton states in AlGaAs/GaAs quantum wells within the effective masses approach. The hamiltonian is separated into radial and transversal parts to be considered and optimized using trial wavefunctions. The results satifsy the well-known cases of three-dimentional and two-dimentional hydrogen. The donor and exciton bound energy is shown to decrease while widthening the quantum well. The non-symmetrical donor position also decreases the bound energy. Comment: 4 pages, 7 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1402.4679 Zobrazit plný text záznamu View this record from Arxiv