Electron states and quantum transitions in a quantum ring on a sphere

Autor: Kazaryan, Eduard M, Shahnazaryan, Vanik A, Sarkisyan, Hayk A
Rok vydání: 2013
Předmět:
Druh dokumentu: Working Paper
Popis: An analytical solution of the quantum problem of an electron on a spherical segment with angular confinement potential of the form of rectangular impenetrable walls is presented. It is shown that the problem is reduced to finding solution of hypergeometric equation. As an application of the obtained results the quantum transitions in this system are discussed, and it is shown that the selection rule for quantum number l is removed due to the violation of spherical symmetry of the problem.
Databáze: arXiv