Labarta, AmílcarBoulaich Marso, Saad2025-07-222025-07-222025-06https://hdl.handle.net/2445/222448Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2025, Tutor: Amílcar Labarta RodríguezThis work studies the exciton ground-state energy in a cylindrical quantum dot using a variational method. A trial wavefunction incorporating both in-plane and vertical confinement effects is employed to study the energy as a function of radius R and height H. The study also includes a detailed comparison between the 2D disk and 3D sphere geometries, using an identical trial wavefunction. Results show that quantum confinement dominates at small sizes, an optimal aspect ratio R/H ≈ 0.53 exists, and the correlation energy decreases with increasing system size.8 p.application/pdfengcc-by-nc-nd (c) Boulaich, 2025http://creativecommons.org/licenses/by-nc-nd/3.0/es/Mètode variacionalPunts quànticsTreballs de fi de grauVariational methodQuantum dotsBachelor's thesesinfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess