A5103203500- Quantum Mechanics and Non-Hermitian Physics
- Data Quality and Management
- Quantum Mechanics and Applications
- Quantum chaos and dynamical systems
Davidson College
2018
Abstract Neutrinoless double-beta decay (0νββ) is a rare nuclear process that, if observed, will provide insight into the nature of neutrinos and help explain matter-antimatter asymmetry in universe. The Large Enriched Germanium Experiment for Double-Beta Decay (LEGEND) operate two phases to search 0νββ. first (second) stage employ 200 (1000) kg High-Purity (HPGe) enriched 76 Ge achieve half-life sensitivity 10 27 (10 28 ) years. In this study, we present semi-supervised data-driven approach...
One-dimensional potentials defined by $V^{(S)}(x) =S(S+1) \hbar^2 \pi^2 /[2ma^2\sin^2(\pi x/a)]$ (for integer $S$) arise in the repeated supersymmetrization of infinite square well, here over region $(0,a)$. We review derivation this hierarchy and then use methods supersymmetric quantum mechanics, as well more familiar textbook techniques, to derive compact closed-form expressions for normalized solutions, $\psi_n^{(S)}(x)$, all $V^{(S)}(x)$ terms well-known special functions a pedagogically...