Degeneracy of Resonances, Jordan Blocks, and Gamow-Jordan Eigenfunctions |
| |
Authors: | E Hernández A Jáuregui A Mondragón |
| |
Institution: | (1) Instituto de Física, UNAM, Apdo. Postal 20-364, 01000, México D. F., México;(2) Departamento de Física, Universidad de Sonora, Apdo. Postal 1626, Hermosillo, Sonora, México |
| |
Abstract: | We show that a degeneracy of resonances is associated with a second rank pole in the scattering matrix and a Jordan chain of generalized eigenfunctions of the radial Schrödinger equation. The generalized Gamow-Jordan eigenfunctions are basis elements of an expansion in complex resonance energy eigenfunctions. In this biorthonormal basis, any operator f(H
r
which is a regular function of the Hamiltonian is represented by a nondiagonal complex matrix with a Jordan block of rank 2. |
| |
Keywords: | nonrelativistic scattering theory degeneracy of resonances Berry phase |
本文献已被 SpringerLink 等数据库收录! |
|