2010/10/27 by K. G. Dvoyan, Dvoyan, Karen G.
Engineering · Physics and Astronomy · #Atomic and Molecular Physics #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Muon and positron interactions and applications #Quantum and Classical Electrodynamics
paper · pdf · doi:10.48550/arxiv.1010.5588
openalex publication_date 2010/10/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Confined states of an electron-positron pair in the spherical quantum dot (QD) are theoretically investigated in three size-quantization (SQ) regimes: strong, weak and intermediate. In the strong SQ regime, analytical expressions for the wave functions (WFs) and energy of the pair are obtained. In the weak SQ regime, the positronium energy and binding energy are analytically calculated. To calculate the positronium energy in the intermediate SQ regime, variational and numerical methods are used. It is shown that, in the corresponding limits, the results obtained by variational method agree with those obtained in the strong and weak SQ regimes.